Solved Papers
Every question from the 2025-26 Final Examination (28 Nov 2025) and the Re-Examination (05 Feb 2026) that falls inside the ten units on this site, answered in full and point-wise β written the way you would write it on the answer sheet, with a note on what the official SYNOPTIC actually expects.
Each question shows the exact wording from the paper, then an answer plan (the headings to put on your sheet), then the full answer in points, then a note on what the official synoptic expects.
A warning about the official key. The SYNOPTICS document is a marking outline, not a model answer. For several questions it gives four or five bare phrases where the question carries 5 marks; for two of the numericals its arithmetic is visibly wrong. Reproducing it verbatim would not earn full marks. So these answers are built from the textbook and the unit pages, structured so a 5-mark question gets a 5-mark answer β and where the key is thin, loose or mistaken, that is flagged rather than copied.
Scope. Ten question parts test CO-3 quality and lean topics that have no unit page on this site. They are collected at the bottom under Beyond the units on this site, each with the official key's content, so nothing in the papers is left unaccounted for.
- Duration 2 hours, maximum marks 50, question paper of 3 pages.
- Seven questions of 10 marks each. Q1 is compulsory; attempt any 4 of the remaining six. In all 5 questions are attempted, and all carry equal marks.
- Q1 is always four short parts of 2.5 marks each under "Answer briefly" β one from each of the main areas, and always at least one numerical.
- Q2 to Q7 are always two parts of 5 marks each. The two parts usually come from the same unit or from adjacent units.
- Every new question must start on a fresh page. "Assume suitable data if necessary."
- Time budget: 2 hours Γ· 5 questions β 22 minutes per 10-mark question β about 5 minutes per Q1 part and 11 minutes per 5-mark part.
Both papers put Q2βQ3 on Units 1β6, Q4βQ5 on inventory and scheduling, and Q6βQ7 on quality and lean. The structure is so stable that you can predict which units a question number will come from.
Final Β· Q1(a) β Process selection: points of indifference 2.5 marks Β· Unit 6
"A Toy Manufacturing Company must select a process for its new product, racing car, from among three different alternatives. For what volume of demand would each process be desirable? The following cost data have been gathered, calculate the points of indifference between each pair of processes: Process A β Fixed Cost Rs 10,000, Variable Cost Rs 5/unit; Process B β Rs 40,000, Rs 2/unit; Process C β Rs 70,000, Rs 1/unit." β CO-1, BL-1, 2.5 marks
Write the three total-cost equations β equate them pair by pair β solve for three indifference volumes β finish with the decision ranges. The ranges sentence is what the key calls "Solution", and an answer without it is incomplete however correct the arithmetic.
Method. Each process has a total cost TC = FC + VC Γ v. Two processes are equally good at the volume where their total costs are equal β the point of indifference. Below and above that volume, one of them is cheaper.
Comparison 1 β Process A versus Process B
- 10,000 + 5v = 40,000 + 2v β 3v = 30,000 β v = 10,000 units
Comparison 2 β Process B versus Process C
- 40,000 + 2v = 70,000 + 1v β v = 30,000 β v = 30,000 units
Comparison 3 β Process A versus Process C
- 10,000 + 5v = 70,000 + 1v β 4v = 60,000 β v = 15,000 units
Solution β the decision
- Below 10,000 units β choose Process A (lowest fixed cost carries the low volume).
- Between 10,000 and 30,000 units β choose Process B.
- Above 30,000 units β choose Process C (its low variable cost repays the high fixed cost).
Closing line: the A-versus-C indifference at 15,000 units never governs a decision, because Process B is cheaper than both at that volume β so it is computed as the question asks, but it is not a boundary in the answer.
The key gives all three comparisons β 10,000, 30,000 and 15,000 β then a separate "Solution" block with exactly the three ranges. Both halves are marked, so compute all three crossovers even though one of them is redundant, and then write the ranges as a distinct conclusion.
Stopping at the three volumes. The question asks "for what volume of demand would each process be desirable" β that is the ranges, and it is the larger half of the marks. Also watch the sign: put the larger fixed cost first in the numerator and the larger variable cost first in the denominator, and v comes out positive.
Revise β Short Answer 30 Β· Unit 6 Β· Process Selection with Breakeven Β· the same technique in Unit 4
Final Β· Q1(b) β Importance of layout design, and two types of layout 2.5 marks Β· Unit 5
"Explain the importance of Layout Design in Operations. Describe any two types of layouts with examples." β CO-1, BL-1, 2.5 marks
Two halves, and both must appear. First a short definition plus four or five reasons layout matters. Then two named layouts, each with a one-line description and a named example. In 2.5 marks the examples are what separate a 2 from a 2.5.
Definition. Layout design is the physical arrangement of machines, workstations, departments and storage within a facility. A good layout ensures the optimal arrangement of resources to facilitate smooth workflow, reduce movement and minimise delays, and it enhances productivity, safety and employee morale.
Why layout design matters
- Reduces material handling, which adds cost but no value at all.
- Shortens flow time and cuts work-in-process, because shorter travel means shorter queues between stages.
- Determines effective capacity β congestion and badly placed bottlenecks cap output whatever the machines can do.
- Improves safety, ergonomics and morale, and makes supervision and communication easier.
- Maximises use of space, which is a fixed cost paid whether it is used well or not.
- It is expensive to change once installed, so a layout error is paid for over the life of the facility.
Two types of layout
- Process layout β used in job shops, where similar equipment is grouped together by function and the product travels between the groups. It is flexible and handles high variety at low volume. Example: hospitals (radiology in one area, pathology in another, wards in a third); also a machine shop.
- Product layout β used in assembly lines for mass production, where machines are arranged in the sequence of operations and the product flows in a straight line. It is efficient at high volume and low variety. Example: automobile manufacturing.
Closing line: the same machines arranged differently give a completely different cost, speed and flexibility profile β which is why layout is where operations strategy becomes physical.
The key is three sentences plus two bullets: layout ensures optimal arrangement to facilitate smooth workflow, reduce movement and minimise delays, and enhances productivity, safety and employee morale; then process layout β hospitals and product layout β automobile manufacturing. Those two examples are the ones to memorise β use them exactly. The reasons list above is fuller than the key, which costs you nothing and protects you if the examiner marks generously.
Revise β Short Answer 20 Β· 21 Β· Unit 5 Β· Objectives Β· Types of Layouts
Final Β· Q1(c) β Stockout costs and their effect on reputation 2.5 marks Β· Unit 7
"Explain stockout costs and how it affects a company's reputation by applying this concept to a real-life business situation or example." β CO-2, BL-2, 2.5 marks
Definition β the two components (lost profit, and lost goodwill) β the internal case (work stoppage) β one real-life example. The question explicitly asks for the example and for the reputation effect, so an answer that only prices the lost sale is answering half of it.
Definition. A stockout cost, or shortage cost, is the cost incurred when customer demand cannot be met because of insufficient inventory.
What the cost consists of
- If the shortage results in a permanent loss of the sale, the shortage cost includes the lost profit on that sale.
- Shortages also cause customer dissatisfaction and a loss of goodwill, which can result in the permanent loss of the customer and of all their future sales. This is the reputational cost, and it is far larger than the single lost transaction.
- There is also the cost of expediting β emergency freight, premium-priced substitute supply, unplanned overtime β incurred to avoid the shortage becoming visible.
- When the demand is internal, a shortage causes work stoppages in the production process and delays, resulting in downtime costs and the cost of lost production.
Why it damages reputation specifically
- A stockout is visible to the customer at the exact moment of intent to buy, so it is remembered far more sharply than a small price difference.
- It hands the customer to a competitor and gives them a reason to try the substitute β a trial the firm paid for.
- Repeated stockouts turn into a perception of unreliability, and in retail they cost shelf space, because the retailer promotes brands that do not run out.
Real-life example
- A pharmacy chain runs out of a popular over-the-counter flu medicine during peak season. The immediate cost is the lost margin on those packs. The lasting cost is that patients walk to the chemist across the road, discover it is equally convenient, and some never come back β and a pharmacy that is out of stock in flu season acquires a reputation for being unreliable exactly when reliability matters most.
- The same logic at scale: an e-commerce seller out of stock on a launch day loses both the sale and the search ranking that the sales would have earned.
Closing line: because the goodwill component cannot be measured directly, firms do not price stockouts β they set a service level instead, and let the safety stock follow from it.
The key has four points, and they are worth reproducing almost verbatim: the shortage occurs when demand cannot be met from inventory; permanent loss of sales means shortage cost includes lost profit; shortages cause dissatisfaction and loss of goodwill leading to permanent loss of customers and future sales; and when demand is internal, shortages cause work stoppages, delays, downtime costs and lost production. The key does not supply the real-life example β but the question asks for one, so it must be yours.
Revise β Short Answer 33 Β· Unit 7 Β· Inventory Costs
Final Β· Q2(a) β Manufacturing vs service organisations 5 marks Β· Unit 1
"Given an interview scenario, where you are asked about your views on comparing manufacturing and service organization's operations with relevant examples. (5 points)" β CO-1, BL-3, 5 marks
The parenthetical "(5 points)" is an instruction, not decoration β give at least five points of difference. Draw the comparison as a table with a basis column, then add one manufacturing and one service example. The key's answer is an eight-row table; write it.
Opening. Both manufacturing and service organisations are transformation processes that convert inputs into outputs of greater value. They differ in the nature of the output, and every operational difference between them follows from that one fact β a physical product can be stored, inspected and made away from the customer, while a service cannot.
| Basis | Manufacturing Organisations | Service Organisations |
|---|---|---|
| Nature of output | Physical, durable product | Intangible, perishable product |
| Inventory | Output can be inventoried | Output cannot be inventoried |
| Customer contact | Low customer contact | High customer contact |
| Response time | Long response time | Short response time |
| Customisation | Low customisation | High customisation |
| Facilities | Large facilities | Small facilities, sited near the customer |
| Resource intensity | Capital intensive | Labour intensive |
| Quality measurement | Quality easily measured | Quality not easily measured |
What each difference means for the operations manager
- Because a service cannot be inventoried, demand must be met by flexing capacity β part-time staff, appointment systems, off-peak pricing β rather than by building stock ahead.
- Because customer contact is high, the customer is inside the process, so process design becomes experience design and variability cannot be engineered out entirely.
- Because quality is not easily measured, services rely on perception measures β satisfaction scores, complaint rates, mystery shopping β rather than gauges and tolerances.
- Because response time is short, services are located near the customer in many small units, while manufacturing concentrates in a few large plants near inputs or transport.
Examples
- Manufacturing: a car plant β output is stored in a yard, quality is measured to the millimetre, the customer never enters the process, and the plant is capital intensive.
- Service: a hospital or a hair salon β the output exists only while it is being delivered, the customer is physically present throughout, and the quality judgement is the customer's.
Closing line: in practice the two are not separate categories but ends of a goodsβservice continuum, and most firms β an airline, a restaurant, a car dealership β manage a bundle of both and must apply both sets of rules.
The key is purely the eight-row table, with no prose at all. That is the whole answer as far as the marking outline is concerned β so the table is non-negotiable, and everything above and below it is your margin of safety. The "(5 points)" in the question means five rows would suffice; eight is safer and takes no longer.
Revise β Short Answer 03 Β· Unit 1 Β· Goods vs Services
Final Β· Q2(b) β Operations strategy and competitiveness 5 marks Β· Unit 2
"Describe how Operations Strategy can contribute to competitiveness. Explain any two types of strategies used in Operations." β CO-1, BL-2, 5 marks
Definition of operations strategy β five or six ways it builds competitiveness β two named strategies, each with its mechanism and an example. The key names quality-based and time-based; use those two, because the key's own wording is available to you.
Definition. Operations strategy defines how an organisation uses its operations β processes, capabilities and resources β to support the overall business strategy and to deliver value to customers over the long term. It translates corporate goals into concrete operational priorities: cost, quality, delivery, flexibility and innovation.
How operations strategy contributes to competitiveness
- It aligns the operation with the market. The firm configures its processes for whatever the customer actually buys on, instead of trying to be good at everything.
- It turns capability into advantage. A capability rivals cannot easily copy becomes a core competency and a durable edge.
- It makes the trade-offs deliberate. No process is simultaneously cheapest, fastest, most flexible and highest quality; strategy chooses the order winner and merely qualifies on the rest.
- It gives consistency across the nine decision areas β capacity, location, layout, technology, sourcing, inventory, quality system, workforce and process choice β so they reinforce rather than cancel each other.
- It lowers cost through efficiency rather than cuts β better layout, fewer defects, shorter lead times reduce cost while improving service.
- It builds responsiveness, so the firm reacts to demand shifts faster than competitors can.
Two types of strategy used in operations
- Strategy based on quality. Prioritising superior product or service quality as the primary competitive edge. It is delivered through design quality (features the customer values) and conformance quality (consistently meeting specification), supported by process control, supplier development and prevention spending. Fewer defects mean less rework, lower warranty cost and a stronger brand, so quality partly funds itself. Example: Toyota, whose conformance quality became its market position.
- Strategy based on time. Competing primarily on speed β rapid order fulfilment, short lead times, quick product development and fast response to market changes. It is delivered by simplifying processes, running activities in parallel instead of in sequence, integrating suppliers and removing waiting. Example: Zara moving a design from sketch to store in weeks; Amazon's same-day delivery.
Closing line: operations strategy is what stops a good corporate plan from failing at the point of delivery β it is the translation of intent into capability.
The key gives one definition sentence β quoted almost word for word in the lead above β and then names the two strategies with a one-line gloss each: quality ("prioritising superior product/service quality as the primary competitive edge") and time ("competing primarily on speed β rapid order fulfilment, short lead times, quick product development, fast response to market changes"). Note it gives no examples and no list of competitiveness mechanisms, both of which a 5-mark answer needs.
Revise β Short Answer 06 Β· 08 Β· Unit 2 Β· Operations Strategy
Final Β· Q3(a) β Location factors for retail and heavy industry 5 marks Β· Unit 4
"Analyze the key factors that influence retail and heavy industries' location selection, and evaluate their impact with suitable industry examples." β CO-1, BL-4, 5 marks
Two lists β retail, then heavy industry β ideally set side by side in a table so the contrast is visible, because the contrast is what "analyse and evaluate" is asking for. Close with the one-line rule that explains both. Add an industry example to each side; the question demands them.
Opening. Facility location is a long-term, capital-intensive and effectively irreversible decision. The factors that dominate it are completely different for retail and for heavy industry, because retail must be near the customer while heavy industry must be near its inputs and its transport.
Retail industry β the factors that dominate
- Proximity to customers β as near as possible. Location is everything: footfall determines revenue.
- Construction costs β less important, because the building is small relative to the sales it generates.
- Land costs β usually high, and accepted as the price of being where the customers are.
- Labour costs β less important; the headcount is small.
- Transportation β must be well connected: parking, public transport, easy access.
- Also: visibility and frontage, catchment population and income, competitor and complementary-store proximity.
Heavy industry β the factors that dominate
- Construction costs β should be minimum; the plant is very large.
- Land costs β should be minimum; large acreage is needed, so cheap peripheral land is preferred.
- Raw material and finished goods shipment modes β rail siding, port or pipeline access can decide feasibility outright.
- Mode of transport β must be easily available and well connected.
- Proximity to raw materials β decisive when the material is bulky or loses weight in processing.
- Utilities β assured power, water and fuel in industrial quantities.
- Means of waste disposal β effluent treatment and environmental clearance.
- Labour availability at minimum wages β a large semi-skilled workforce at low cost.
Evaluating the impact β the contrast
- Land cost is accepted as high in retail and minimised in heavy industry β the same factor, opposite treatment.
- Retail optimises for revenue (a better site sells more); heavy industry optimises for cost (a better site produces cheaper). That single difference explains every row above.
- The underlying rule: locate near the market when the output is expensive to move or the customer must come to you; locate near the source when the raw material is expensive to move.
Industry examples
- Retail: a coffee or apparel chain pays premium mall rent because footfall is the business; a wrong turning of 200 metres can halve a store's sales.
- Heavy: a steel plant at Jamshedpur or a cement plant next to a limestone quarry sits far from every customer, because moving ore and limestone costs far more than moving the finished product.
Closing line: the impact is asymmetric β a retailer with a poor location can be rescued by nothing else it does, while a heavy plant with a poor location carries a permanent freight-cost penalty on every tonne for decades.
The key is two bare lists β six lines for retail, eight for heavy industry β reproduced above in the key's own phrasing (including its "Location is everything" and "Labor availability β minimum wages"). It supplies no examples and no evaluation, although the question asks for both. Write the two lists exactly as the key has them, then add the contrast and the examples on top; that is where the analysis marks are.
Revise β Short Answer 16 Β· Unit 4 Β· Location Factors Β· related: Re-Exam Q1(b) asks the retail half alone
Final Β· Q3(b) β Types of production systems and their characteristics 5 marks Β· Unit 6
"Discuss different types of production systems and their process characteristics with examples." β CO-1, BL-2, 5 marks
Four systems minimum β project, job shop, batch, mass (the four the key gives) β plus continuous to complete the set. For each: a one-line definition, the process characteristics (layout, volume, variety, labour, cost, flexibility) and a named example. A table is faster than prose and covers the same ground.
Opening. Production systems are classified by volume and variety. Moving from project through job shop, batch and mass to continuous, volume rises, variety falls, unit cost falls and flexibility disappears.
Project
- A production system in which a single product is made to customer specification.
- Characteristics: unique output, higher cost per unit, low automation, highly flexible, needs experts, fixed-position layout, heavy coordination.
- Examples: building construction, event management, shipbuilding.
Job shop
- Used for small-scale production of customised products where each order may differ in specification and process sequence.
- Characteristics: functional or process layout (machines grouped by function), high variety and low volume, skilled labour required for flexibility, irregular workflow and longer lead times, high cost per unit but high product differentiation.
- Example: tailor-made furniture; also a machine tool room or a print shop.
Batch
- Production of a group (batch) of identical products before switching to another batch; each batch passes through the stages together.
- Characteristics: moderate volume and variety, functional layout but better scheduling than a job shop, economies of scale within each batch, changeover time needed between batches.
- Examples: bakery, pharmaceuticals; also paint and garments.
Mass
- Production of large quantities of standardised products using assembly-line techniques, each operation performed continuously at a specific workstation.
- Characteristics: product layout (machines in the sequence of operations), high volume and low variety, specialised semi-skilled labour, low production cost per unit from economies of scale; very low flexibility and a breakdown halts the line.
- Examples: automobile assembly lines, packaged food products.
Continuous β worth adding
- Uninterrupted round-the-clock production of a standardised commodity, measured in volume or weight rather than in units. Extremely capital intensive, almost fully automated, lowest unit cost, essentially zero flexibility, and very expensive to shut down.
- Examples: oil refining, cement, steel, sugar, electricity.
Closing line: the choice of production system is really a decision about how much variety the market will demand β and it locks in the layout, the labour skill and the cost structure that follow from it.
The key covers exactly four systems β project, job shop, batch, mass β and for each gives a definition line, a run of process characteristics and an example. Its characteristic lists are reproduced above in its own phrasing, because those are the phrases being marked. Continuous production is not in the key, so it is a bonus rather than a requirement; include it only after the four are complete.
Giving definitions and examples but skipping the process characteristics β layout, volume, variety, labour, cost, flexibility. The question names them explicitly, and the key gives four to six per system. Also do not blur batch into mass: batch switches between products and needs a changeover; mass runs one product continuously.
Revise β Short Answer 28 Β· 29 Β· Unit 6 Β· Types of Production Systems
Final Β· Q4(a) β Inventory planning, ordering, storage and control in FMCG 5 marks Β· Unit 7
"Analyze the importance of inventory planning, ordering, storage, and control in a fast-moving consumer goods (FMCG) company." β CO-2, BL-4, 5 marks
The question names its own four parts, so use those four words as your sub-headings and put three bullets under each. That is exactly the shape of the official key, and it makes the answer trivially easy to mark. Add one line at the start on why FMCG is the hard case.
Why FMCG is the demanding case. FMCG products have high and fluctuating demand, thin margins, short shelf lives and thousands of SKUs distributed through a very wide retail network. A stockout is filled instantly by a competitor's brand on the same shelf, while overstock spoils or is returned β so inventory decisions are made daily and at scale, and small percentage improvements are worth a great deal.
1. Inventory planning
- Ensures sufficient stock to meet high and fluctuating consumer demand.
- Helps avoid stockouts that lead to lost sales and customer dissatisfaction.
- Optimises working capital by balancing inventory investment against turnover.
2. Ordering
- Determines when and how much to order to maintain smooth production and distribution.
- Reduces ordering costs and prevents overstocking.
- Supports just-in-time (JIT) approaches to improve efficiency.
3. Storage
- Provides safe and organised storage to maintain product quality and prevent damage.
- Facilitates easy retrieval for fast distribution to retail outlets.
- Minimises spoilage and obsolescence, especially for perishable FMCG products.
4. Inventory control
- Tracks stock levels using ERP or inventory management systems.
- Identifies slow-moving and fast-moving items for better decision-making.
- Helps reduce carrying costs and improve overall operational efficiency.
Closing line: in FMCG the four activities are one loop β planning sets the target, ordering executes it, storage protects it and control measures it β and a break at any point shows up within days as either an empty shelf or a write-off.
This is the one question where the key is genuinely complete: four numbered sub-headings, three sub-bullets under each, in the exact words reproduced above. Reproduce its structure and phrasing. Note that the key's own formatting slips β "Inventory Control" loses its number and the last bullet floats outside the list β but the content is what is marked.
- Name a real FMCG firm and a concrete mechanism: HUL or ITC replenishing lakhs of outlets through distributor stock-and-sale data, with ABC classification deciding which SKUs get daily attention.
- Quote inventory turnover ratio as the measure that ties all four activities together.
Revise β Short Answer 31 Β· 35 Β· Unit 7 Β· Why Hold Inventory
Final Β· Q4(b) β EOQ, orders per year, cycle and total cost 5 marks Β· Unit 8TEE only
"A company uses a raw material at a steady rate throughout the year. Annual demand (D) = 10,000 units, Ordering cost per order (S) = βΉ200, Carrying (holding) cost per unit per year (H) = βΉ5, Working days in a year = 250 days. Determine: 1. Economic Order Quantity (EOQ) 2. Number of orders to be placed per year 3. Time (days) between two consecutive orders 4. Total annual cost (ordering + carrying)." β CO-2, BL-3, 5 marks
Four numbered answers, in the order asked. Write the formula before each substitution. The key's mark split is 2 for the EOQ, 0.5 for the number of orders, 0.5 for the cycle time and 2 for the total cost β so the two calculations worth 2 marks each deserve full working.
1. Economic Order Quantity β 2 marks
2. Number of orders per year β 0.5 marks
3. Time between two consecutive orders β 0.5 marks
4. Total annual cost β 2 marks
Check: at the EOQ the two halves of the total cost are always equal β 2,236.07 each here. If your two terms differ by more than rounding, the EOQ is wrong.
The key gives the four answers with the mark split shown above: 894 units Β· 11.18 β 12 orders Β· 21β22 days Β· βΉ4,472. It accepts a rounding range on the cycle time, which is why 21 or 22 days both score. Show the formula and one substitution line for each part β the key's own "(2 marks)" annotations tell you where the working is expected.
- Forgetting the square root β 800,000 is not the answer.
- Computing the total cost with the rounded 894 and then reporting unequal halves without saying rounding caused it.
- Using 365 days instead of the stated 250 working days for the order cycle.
Revise β Short Answer 36 Β· Unit 8 Β· EOQ Β· practise in the Numerical Lab
Final Β· Q5(a) β Order size in a periodic (fixed-interval) system 5 marks Β· Unit 9TEE only
"The KVS Pharmacy stocks a popular brand of over-the-counter flu and cold medicine. The average demand for the medicine is 6 packages per day, with a standard deviation of 1.2 packages. A vendor for the pharmaceutical company checks KVS's stock every 60 days. During one visit the store had 8 packages in stock. The lead time to receive an order is 5 days. Determine the order size for this order period that will enable KVS to maintain a 95% service level (z = 1.65)." β CO-2, BL-4, 5 marks
Recognise the signal words "checks stock every 60 days" β this is a fixed-time-period (P) system, not a reorder point. Write the P-system formula, list the given values, substitute, and round the way a pharmacy actually would.
Substitution
Reading the three terms
- 390 is the expected demand over the whole exposure window β the 60 days until the vendor's next visit plus the 5-day lead time before that next order lands.
- 15.96 is the safety stock buying the 95 % service level over that same 65-day window.
- β8 removes the stock already on the shelf, since only the shortfall needs ordering.
Practical answer: order 398 packages β or 400 if the medicine ships in boxes of 100.
The key states the answer as "this may be rounded to 398 packages, or perhaps 400 if it is shipped in boxes of 100 packages" β so the rounding remark is itself part of the expected answer, not a flourish. The intermediate working is not printed in the key, which means the marks come from using the right formula; write it out before substituting.
Using βL instead of β(tb + L), or leaving the lead time out of the demand term altogether. In a periodic system the exposure runs from now until the order placed at the next review arrives β that is 65 days here, not 60 and not 5. Forgetting to subtract the 8 packages on hand is the other standard slip.
Revise β Short Answer 40 Β· 34 Β· Unit 9 Β· Periodic System
Final Β· Q5(b) β Johnson's Rule: five sculptures, carving and polishing 5 marks Β· Unit 10TEE only
"Artisan Craftworks has received a rush order to finish five decorative wooden sculptures β an owl, a fox, a turtle, a horse, and a rabbit. The finishing involves two major processes: carving and polishingβ¦ Determine the order in which the jobs should be processed so that the rush order can be completed as soon as possible and also calculate the completion time." Times (hours): Owl 8/5 Β· Fox 6/9 Β· Turtle 10/4 Β· Horse 7/8 Β· Rabbit 5/6. β CO-2, BL-3, 5 marks
Two machines in the same order for every job β Johnson's Rule. Show the selection step by step, state the sequence, then draw the two-row timeline and read the completion time off the end of the second row.
Applying the rule
- Smallest time in the table is 4 β Turtle on polishing (Process 2) β Turtle goes last.
- Next smallest is 5, appearing twice: Rabbit on carving (Process 1) β Rabbit goes first; Owl on polishing (Process 2) β Owl goes second-last.
- Next is 6 β Fox on carving β Fox takes the next free front slot, second.
- Horse takes the only remaining slot, third.
Optimal sequence
Timeline
| Job | Carving starts | Carving ends | Polishing starts | Polishing ends |
|---|---|---|---|---|
| Rabbit | 0 | 5 | 5 | 11 |
| Fox | 5 | 11 | 11 | 20 |
| Horse | 11 | 18 | 20 | 28 |
| Owl | 18 | 26 | 28 | 33 |
| Turtle | 26 | 36 | 36 | 40 |
Answer
- Total completion time (makespan) = 40 hours.
- Carving finishes at hour 36 and is then idle for 4 hours; polishing is idle for the first 5 hours and again from 33 to 36, 8 hours in total.
Closing line: putting Turtle last is what makes this work β its 4-hour polish is the shortest tail available, so the stretch after carving finishes is as short as it can be.
The key gives the sequence Rabbit β Fox β Horse β Owl β Turtle, the line "this sequence will complete these jobs faster than any other sequence", and a two-row timeline ending at 40. Its carving row reads 0-5-11-18-26-36 and its polishing row 5-11-20-28-33-40 β both correct. Reproduce the timeline; the completion time is not creditable without it.
Starting a job on polishing the moment it leaves carving. Horse finishes carving at 18 but cannot start polishing until 20, because Fox is still on the polisher. Always take max(carving finish, polisher free). The other classic error is reporting 36 β the carving finish β as the completion time; the makespan is the last finish on Process 2.
Revise β Short Answer 43 Β· Unit 10 Β· Johnson's Rule Β· the same rule in Re-Exam Q5(b)
Re-Exam Β· Q1(a) β Significance of basic productivity indices 2.5 marks Β· Unit 1
"Discuss the significance of basic productivity indices in the operation management." β CO-1, BL-2, 2.5 marks
Definition and formula in the first line, then four or five reasons the indices matter, then the link to competitiveness. The word "significance" means the marks are in the uses, not in the definition.
Definition. Productivity indices measure the efficiency of converting inputs β labour, materials and capital β into outputs of goods or services. In their basic form, Productivity = Output Γ· Input, measured as single-factor (one input), multifactor (a group of inputs) or total-factor (all inputs).
Their significance in operations management
- They help managers identify areas of improvement β comparing partial indices shows which resource is being used badly, so effort goes where the loss is.
- They allow managers to benchmark performance β against last period, against another plant, or against an industry norm.
- They enhance competitiveness, because higher productivity leads to reduced costs, better resource utilisation and increased profitability.
- They make waste visible as a number, which is what turns an impression of inefficiency into an actionable target.
- They support capacity, staffing and investment decisions, by converting operational effort into a comparable ratio.
How a value is read
- A rising index means output is growing faster than the resources consumed β genuine improvement.
- Labour productivity up but multifactor productivity flat means the firm has bought machines, not efficiency β a substitution, not a gain.
Closing line: productivity is the one number that connects what happens on the shop floor to the firm's cost position in the market, which is why it is tracked continuously rather than reported annually.
The key is a single paragraph, and the model above uses its exact clauses: indices measure the efficiency of converting inputs into outputs; they help managers identify areas of improvement, benchmark performance and enhance competitiveness; and higher productivity leads to reduced costs, better resource utilisation and increased profitability. Those three verbs β identify, benchmark, enhance β are the marking points. Add the formula, which the key omits.
Revise β Short Answer 05 Β· Unit 1 Β· Productivity
Re-Exam Β· Q1(b) β Two factors in locating retail and service facilities 2.5 marks Β· Unit 4
"Explain two important factors while selecting the location for 'retail and service' facilities." β CO-1, BL-2, 2.5 marks
The question asks for two, but the key lists six β so lead with the two most important, explained properly, then list the rest. Explaining two well is what the question asks; listing the others shows the full picture and costs one line.
Opening. For retail and service facilities the location decision is a revenue decision, not a cost decision β the site determines how many customers walk in, so factors that would dominate a factory choice are secondary here.
The two most important factors, explained
- Proximity to customers β "location is everything." A retail or service facility must be as near its customers as possible, because the customer comes to the facility rather than the output going to the customer. Footfall determines revenue directly, so a site with heavy, relevant traffic will outperform a better-equipped site two streets away. This is why retailers accept high land cost as the price of the location.
- Transportation and accessibility β the site must be well connected. Convenient road access, parking, public transport and easy last-mile entry decide whether the traffic that passes actually converts into customers. A high-footfall location with no parking loses exactly the customers who intended to buy the most.
The remaining factors from the key, in brief
- Construction costs β less important, since the building is small relative to the revenue it supports.
- Land costs β usually high, and accepted.
- Labour costs β less important; the headcount is small.
- Also relevant: visibility and frontage, catchment size and income, and proximity to competitors and complementary stores.
Closing line: because location is effectively irreversible for a retailer and cannot be compensated for by anything else it does well, it is the single highest-stakes operations decision a retail business makes.
The key is six bullets, verbatim: proximity to customers (near as much as possible) Β· location is everything Β· construction costs (less important) Β· land costs (usually high) Β· labour costs (less important) Β· transportation (well connected). Note this is the same list the key gives for the retail half of Final Q3(a). Learn it once and it answers both questions.
Revise β Short Answer 16 Β· Unit 4 Β· Location Factors
Re-Exam Β· Q1(c) β Reorder point vs Economic Order Quantity 2.5 marks Β· Units 8β9
"State the differences between reorder point and economic order quantity (EOQ)?" β CO-2, BL-1, 2.5 marks
The verb is "state the differences", so this is a table with a named basis column. The key uses five bases β Meaning, Purpose, Depends On, Focus, Example. Use exactly those.
Opening. The two answer different questions and are used together, not as alternatives: EOQ decides how much to order, the reorder point decides when to order it.
| Basis | Reorder Point (ROP) | Economic Order Quantity (EOQ) |
|---|---|---|
| Meaning | The inventory level at which a new order should be placed to avoid stockouts. | The optimal order quantity that minimises total inventory costs (ordering + holding costs). |
| Purpose | Determines when to order. | Determines how much to order. |
| Depends on | Lead time and demand rate. | Ordering cost, holding cost and demand. |
| Focus | Timing of orders. | Quantity of orders. |
| Example | If lead time is 5 days and daily demand is 10 units, reorder point = 50 units. | EOQ might be 200 units per order to minimise total cost. |
Closing line: in a continuous review system both are used at once β stock is watched until it falls to R, and then exactly Qopt units are ordered.
The key is precisely this five-row table, in these words, including the two worked examples (50 units and 200 units). It is one of the few keys that is complete as printed β reproduce it. The two formulas and the closing line are your additions, and they cost fifteen seconds.
Revise β Short Answer 39 Β· 36 Β· Unit 9 Β· Reorder Point Β· Unit 8 Β· EOQ
Re-Exam Β· Q2(a) β Goods vs services and the goodsβservice continuum 5 marks Β· Unit 1
"Discuss the difference between Goods and Services. Explain the concept of the GoodsβService Continuum with examples." β CO-1, BL-2, 5 marks
Two halves, both marked. Half one is the differences β a table on tangibility, perishability, variability, homogeneity and ownership, which is exactly what the key names. Half two is the continuum, with the four positions and an example at each. Do not let the table eat the whole answer.
Definition. Goods are tangible, durable outputs that can be produced in advance and inventoried. Services are intangible and perishable, produced and consumed simultaneously, and therefore cannot be stored.
Part 1 β the differences
| Basis | Goods | Services |
|---|---|---|
| Tangibility | Physical and can be touched, seen and tested before purchase | Intangible; can only be experienced, and is judged after the fact |
| Perishability | Can be stored and inventoried for later sale | Perishes instantly β an empty airline seat at take-off is lost forever |
| Variability (heterogeneity) | Standardised; two units off the same line are identical | Varies with the provider, the customer and the occasion |
| Homogeneity / quality | Quality is measurable against a specification | Quality is a perception; measured by satisfaction, not by gauge |
| Ownership | Ownership transfers to the buyer | No ownership transfers β the customer buys access or an experience |
| Simultaneity | Production and consumption are separated in time and place | Produced and consumed at the same moment, with the customer present |
| Customer contact | Low; the customer is outside the process | High; the customer is inside the process |
Part 2 β the goodsβservice continuum
- Almost nothing sold is purely a good or purely a service. Every offering is a bundle, and it sits somewhere on a line between the two extremes. This line is the goodsβservice continuum.
- Pure good β salt, sugar, steel, cement. Almost no service content; the buyer takes the item and leaves.
- Good with accompanying service β a car sold with warranty, servicing, financing and roadside assistance; a washing machine with installation.
- Service with accompanying good β a restaurant meal: the food is a physical good, but ordering, cooking, ambience and service are the larger part of what is bought; an airline flight, where the seat and meal accompany the transport.
- Pure service β teaching, consulting, legal advice, counselling. Nothing physical changes hands.
Why the continuum matters to operations
- The further towards the service end an offering sits, the less it can be buffered with inventory β so demand must be matched by flexing capacity instead.
- Higher contact means process design becomes experience design, and quality must be measured by perception.
- A firm should manage the two halves of its bundle with different operating rules β inventory and standardisation for the good, capacity and staff training for the service.
Closing line: classifying a business as "manufacturing" or "service" is less useful than asking where on the continuum each of its offerings sits, because that position, not the industry label, determines how it should be run.
This is the thinnest key in either paper. In full it reads: "Differences in terms of tangibility, perishability, variability, homogeneity, ownership etc. can be explained with examples." That is a list of the bases to use, not an answer β so use exactly those five as your table's basis column and then supply the content yourself. Note the key does not even mention the continuum, though the question asks for it; do not take that as permission to skip it.
Revise β Short Answer 03 Β· Unit 1 Β· Goods vs Services Β· related: Final Q2(a)
Re-Exam Β· Q2(b) β Vision, mission and strategy for a startup 5 marks Β· Unit 2
"Apply the concepts of vision, mission, and strategies by drafting suitable statements for a startup of your choice. Use examples to show how these guide organizational actions." β CO-1, BL-3, 5 marks
Define the three terms in a table (the key's structure), then actually draft the three statements for one named startup, then show two or three concrete actions each statement drives. The verb is "apply" β a definitions-only answer cannot score full marks.
Part 1 β the three concepts
| Term | Meaning | Purpose |
|---|---|---|
| Vision statement | A future-oriented declaration describing what the organisation aspires to achieve. | Provides long-term direction and inspiration. |
| Mission statement | Defines the organisation's purpose, target customers and key activities. | Guides daily operations and decision-making. |
| Strategy | A plan of action to achieve the vision and mission. | Translates goals into actionable initiatives. |
Part 2 β drafted for a startup: "FreshBox", a cloud-kitchen lunch service
- Vision. "To make fresh, home-style meals the default lunch choice of every office worker in the city."
- Mission. "We prepare hygienic, nutritionally balanced meals in neighbourhood cloud kitchens and deliver them within 30 minutes of the lunch window, at a price a working professional can pay every day."
- Strategy. Compete on speed and consistency: site small kitchens inside a 3 km delivery radius of dense office clusters; hold a fixed rotating weekly menu so meals can be batch-cooked; cook to a forecast released two hours before the lunch window; and own the delivery fleet within that radius rather than outsourcing it.
Part 3 β how these guide organisational actions
- Location. The mission's "within 30 minutes" fixes the facility decision β kitchens go where the offices are, and the higher rent is accepted, because the promise cannot be kept from a cheap site on the outskirts.
- Process and layout. The fixed rotating menu makes a product-layout, batch-cooking line possible, which would be impossible with an open Γ -la-carte menu. The strategy statement is what allows that choice.
- Capacity and staffing. Because demand is concentrated in a two-hour window, the plan uses part-time staff at peak β a capacity decision that follows directly from the mission's definition of the customer.
- What it rules out. A vision aimed at office workers means the firm declines a profitable wedding-catering order, because it would consume peak-window capacity and dilute the competency. A good mission is as useful for what it excludes as for what it includes.
- Measurement. The order winner is delivery time, so the KPI board tracks on-time percentage first and food cost second β not the other way round.
Closing line: vision sets the destination, mission defines the daily job, and strategy chooses the route β and their real test is whether they let the team decide a difficult question without asking anyone.
The key is only the three-row table above β term, meaning, purpose β with no drafted statements and no examples, even though the question asks for both. Write the table first because it is the guaranteed marks, then do what the question actually asked. Any startup will do; a simple, familiar one is easier to make specific under time pressure than an ambitious one.
Revise β Short Answer 07 Β· 06 Β· Unit 2 Β· Strategy Formulation
Re-Exam Β· Q3(a) β Process vs product layout for a bakery 5 marks Β· Unit 5
"Compare process layout and product layout for a bakery producing multiple types of bread. Identify the advantages and disadvantages of each." β CO-1, BL-4, 5 marks
A single table, with the key's own four rows β Definition, Example in Bakery, Advantages, Disadvantages β and both layouts described in bakery terms throughout. The question names the industry, so a generic comparison loses the application marks. Close with a recommendation, because "compare" invites one.
| Aspect | Process Layout | Product Layout |
|---|---|---|
| Definition | Machines and workstations are grouped by function β mixing, baking, packaging each in its own area. | Machines are arranged in a sequence matching the steps of bread production. |
| Example in the bakery | All mixers in one area, all ovens in another, packaging separately; each type of bread travels to whichever stations it needs. | Dough moves in a straight line: mixing β shaping β baking β packaging. |
| Advantages | Flexible for producing different types of bread Β· handles custom and small orders easily Β· better utilisation of specialised equipment Β· a breakdown on one mixer does not stop the bakery. | High efficiency for large-scale uniform production Β· reduces material handling and transit time Β· easier to standardise the process and control quality Β· short flow time and low work-in-process. |
| Disadvantages | More material handling and movement between stations Β· longer production time per unit Β· difficult to schedule Β· higher work-in-process between areas. | Less flexible for producing multiple varieties Β· high downtime if one machine breaks Β· not suitable for small batches or custom orders Β· monotonous work. |
The underlying trade-off
- The choice is driven by volume and variety. A bakery making six breads in small daily batches has high variety and low volume per line β the classic process-layout case.
- The cost of the process layout is movement and queuing; the cost of the product layout is rigidity β a dedicated line stands idle whenever its bread is not running.
- Changeover time is the deciding number: if switching an oven between bread types is quick, a product layout can carry several varieties; if it is slow, the process layout wins.
Recommendation for this bakery
- Keep the process layout for the general range, where variety is the point and volumes per variety are small.
- Move any single high-volume bread onto its own dedicated product line β the standard white loaf, say β which is a hybrid and captures both advantages.
- A cellular layout is the third option: one cell per family of similar breads, giving flow efficiency within each family while preserving variety across them.
Closing line: the same equipment arranged either way gives a completely different cost and flexibility profile β so the layout decision is really a decision about how much variety the bakery intends to sell.
The key is exactly this table with those four aspect rows, and its advantage and disadvantage cells are reproduced above almost word for word. It offers no recommendation and no hybrid option β those are your marks for the "compare" verb at BL-4. Note the key's example cells are bakery-specific throughout; keep yours the same way.
Revise β Short Answer 21 Β· 23 Β· Unit 5 Β· Types of Layouts
Re-Exam Β· Q3(b) β Effectiveness of different service layouts 5 marks Β· Unit 5
"Evaluate the effectiveness of different service layouts in achieving operational efficiency and customer satisfaction. Support your answer with examples, and justify which layout is most suitable in specific service contexts." β CO-1, BL-6, 5 marks
This is a BL-6 question β the highest level in either paper β so description alone caps your marks. Structure it as: name the four layouts with what each achieves β evaluate them against the two stated criteria (efficiency and satisfaction) β justify a context for each. All three parts are explicitly asked for.
Opening. A service layout is designed for a different objective from a factory layout: not to minimise material movement, but to maximise customer exposure to the product and the quality of the customer's experience, while still using floor space efficiently. The four standard forms are free-flow, grid, loop and spine.
The four layouts and what each achieves
- Free-flow layouts β fixtures arranged informally with no fixed path. They encourage browsing, increase impulse purchasing, are flexible and visually appealing. Cost: poorer space utilisation, higher fixture cost, weaker security, and customers can miss whole sections.
- Grid layouts β long parallel aisles of standard shelving. They encourage customer familiarity, are low cost, easy to clean and secure, and good for repeat customers. Cost: monotonous, low impulse purchasing, discourages browsing.
- Loop (racetrack) layouts β a single main aisle circling the store past every department. They increase customer sightlines and exposure to products, while encouraging the customer to circulate through the entire store.
- Spine layouts β one central aisle the length of the store with departments branching off it. Like the loop, they increase sightlines and exposure, while keeping navigation simple and departments easy to resize.
Evaluation against the two criteria
| Layout | Operational efficiency | Customer satisfaction |
|---|---|---|
| Free-flow | Low β poor space use, costly fixtures, harder to restock and secure | High for browsing shoppers; frustrating for a shopper in a hurry |
| Grid | Highest β most selling area per square metre, cheapest fixtures, simplest replenishment and stock control | High for task-oriented shoppers, low for browsers; predictable but uninspiring |
| Loop | Moderate β controlled path aids replenishment, but the fixed circuit wastes some space | High β maximum exposure, though the forced circuit annoys customers who want one item |
| Spine | Moderate to high β simple to lay out and to resize departments | High β clear navigation with good exposure; the compromise position |
Justification β which layout suits which context
- Supermarket, pharmacy, hardware store β grid. The customer's mission is to collect known items quickly and repeatedly; efficiency and familiarity matter more than discovery. Example: D-Mart, Reliance Fresh.
- Apparel boutique, department store, bookshop β free-flow. Revenue depends on browsing and impulse purchase, so the space is spent on experience rather than on shelf density. Example: a Zara or Shoppers Stop floor.
- Large-format furniture and lifestyle store β loop. The circuit is the selling mechanism: it walks every customer past every department. Example: IKEA.
- Medium speciality store β spine. Enough exposure to sell, enough structure to navigate, and departments can be resized as the mix changes. Example: an electronics or sports store.
Beyond retail β the general service principles
- Separate the front office (high contact) from the back office (no contact) and design each for its own objective β experience in front, efficiency behind.
- Design the waiting line deliberately: keep it out of the entrance sightline and give waiting customers something to look at.
- Servicescape factors β lighting, signage, music, cleanliness β are part of the layout, because they shape the perceived quality of the service.
Closing line: there is no most effective service layout in general β the effective layout is the one matched to the customer's mission, which is why a supermarket and a boutique with identical floor areas should be laid out in opposite ways.
The key gives only the three bullet groups β free-flow, grid, and "loop and spine layouts" treated together β with the phrases reproduced above (browsing and impulse purchasing; familiarity, low cost, easy to clean and secure; sightlines and circulation). It supplies no evaluation, no examples and no justification, although the question asks for all three and is set at BL-6. The key's phrases are your guaranteed marks; the evaluation table and the context justifications are what lift the answer to full marks.
Revise β Short Answer 24 Β· Unit 5 Β· Designing Service Layouts
Re-Exam Β· Q4(a) β The hidden costs of inventory 5 marks Β· Unit 7
"With examples describe the hidden costs involved with inventories." β CO-2, BL-2, 5 marks
Open by saying what makes a cost "hidden" β it does not appear in the EOQ model. Then the four named hidden costs from the key, each with a definition and an example. Do not pad with ordinary carrying costs; the question is specifically about the ones the standard model misses.
Opening. The visible costs of inventory β ordering and carrying β are the ones the EOQ model prices. The hidden costs are those that never appear in that calculation but can exceed it, and they arise mainly where product life cycles are short and prices fall over time.
1. Component devaluation cost
- Component prices usually come down by the time the product is released, and the manufacturing firm is then forced to devalue the cost of the product it is holding.
- Example: memory chips or display panels bought for a phone launched six months later β the stock is worth less than what was paid for it, purely because time passed.
2. Price protection cost
- Price protection (also called a price adjustment or price guarantee) is a policy in which a retailer refunds the difference if an item's price drops after purchase, usually within a stated window.
- It forces the manufacturer to reduce manufacturing turnaround time, adopt frequent replenishment cycles, and offer incentives to distributors or retailers to keep inventory levels low.
- Example: consumer-electronics channel agreements, where a mid-quarter price cut triggers a refund on everything already in the channel.
3. Product return cost
- Unsold products resulting from excess inventory are returned by distributors to the manufacturer, in some cases in exchange for a full refund.
- Example: book publishers taking back unsold copies from retailers; seasonal goods returned after the season ends.
4. Obsolescence cost
- A short product life cycle often leads to product obsolescence. To avoid these costs, new models must be launched only after the existing products are cleared from the shelves β which constrains the launch calendar itself.
- Example: last year's smartphone model, or a fashion line at the end of its season, sold at a heavy markdown or written off entirely.
Why these matter to the operations manager
- They are all time-dependent: the longer stock is held, the larger they grow β which is a stronger argument for low inventory than the carrying-cost percentage alone.
- They are the quantitative case for JIT, postponement and frequent small replenishment in short-life-cycle industries.
- They fall on the manufacturer even when the stock sits at the distributor, which is why channel inventory is monitored as closely as own-warehouse inventory.
Closing line: in electronics and fashion the hidden costs routinely exceed the visible ones, so an EOQ computed on ordering and carrying cost alone will systematically recommend an order that is too large.
The key names exactly these four β component devaluation, price protection, product return and obsolescence β and its explanations are reproduced above in its own wording. It gives no examples, though the question opens with "with examples", so the four examples are yours to supply. Get the four names down first; they are the marking points.
Revise β Short Answer 33 Β· Unit 7 Β· Inventory Costs Β· related: Final Q1(c) on stockout costs
Re-Exam Β· Q4(b) β EOQ, total cost, orders per year and order cycle 5 marks Β· Unit 8TEE only
"The Colour-Hub Store β¦ wants to determine the optimal order quantity and total inventory cost for Bright-Shield paint, given: estimated annual demand 12,000 gallons; annual carrying cost $1.00 per gallon; ordering cost $200 per order. They would also like to calculate: 1. The number of orders that will be placed annually. 2. The time between orders (order cycle)." β CO-2, BL-3, 5 marks
Four quantities: EOQ, total cost, orders per year, order cycle. The question does not state the working days, so you must assume one and say so β the instruction sheet allows "assume suitable data if necessary", and the key assumes 311 days.
1. Optimal order quantity
2. Total minimum annual inventory cost
3. Number of orders per year
4. Time between orders (order cycle)
State the working-day assumption explicitly. On a 365-day basis the cycle would be 66.6 days and on a 250-working-day basis 45.6 days β the number is meaningless without the assumption beside it.
The key gives Qopt = 2,190.89 gallons, 5.47 orders per year and an order cycle of 56.85 days on a stated 311-day year β all effectively correct.
Its total cost line, however, reads 1,097.44 + 1,095.44 = $2,192.88. The first term is a slip: (200 Γ 12,000) Γ· 2,190.89 = 1,095.45, not 1,097.44. At the EOQ the two halves of the total cost are always exactly equal, so the correct minimum is $2,190.89. Write the correct figure and show the two equal halves β that demonstrates you understand the property rather than having copied a number. If you want to be safe, add one line noting that the difference is a rounding artefact of about $2 on a $2,191 total.
Revise β Short Answer 36 Β· Unit 8 Β· EOQ Β· the same model in Final Q4(b)
Re-Exam Β· Q5(a) β Reorder point and safety stock 5 marks Β· Unit 9TEE only
"The Paint-Master Online Store operates 300 days per year. Ultra-Coat Wall Paint has an annual demand of 15,000 gallons and a lead time of 12 days. Daily demand is normally distributed with average 50 gallons and standard deviation 8 gallons. The store wants a 95% service level (z = 1.65). Determine the Reorder Point (ROP) and calculate the Safety Stock required." β CO-2, BL-3, 5 marks
Two answers, in the order asked. Write the two formulas first, then substitute. Note the average daily demand is given twice β directly as 50, and implicitly as 15,000 Γ· 300 = 50 β so use the consistency as a check.
1. Reorder point ignoring variability (the base level)
2. Safety stock for a 95 % service level
3. Reorder point with safety stock β the answer to report
Interpreting the result
- When stock falls to 646 gallons, place a replenishment order; the 12-day lead time will then be covered with 95 % confidence.
- The safety stock is only 7.6 % of the lead-time demand, because demand is fairly stable (Ο = 8 against a mean of 50).
- Raising the service level to 99 % would raise z to 2.33 and safety stock to about 64.6 gallons β 41 % more stock for four percentage points of protection. That non-linearity is the real managerial point.
Closing line: safety stock grows with βL, not with L β so halving the supplier's lead time cuts the buffer by about 30 %, not by half.
The key works it in exactly three steps: R = dL = 600 gallons Β· safety stock = z Ο_d βL = 45.73 gallons Β· R = dL + z Ο_d βL = 645.73 gallons. All three are correct and all three are shown, so present all three rather than jumping to the final figure β the intermediate 600 and 45.73 are separately creditable.
Writing zΒ·Ο_dΒ·L instead of zΒ·Ο_dΒ·βL β that gives 158.4 instead of 45.73 and wrecks the reorder point. The other error is reporting the safety stock alone as the reorder point, or forgetting that this is a continuous review system, so the exposure is the lead time only, with no review period added.
Revise β Short Answer 39 Β· Unit 9 Β· Safety Stock & Service Level Β· contrast with the periodic system in Final Q5(a)
Re-Exam Β· Q5(b) β Johnson's Rule: five jobs on two machines 5 marks Β· Unit 10TEE only
"A company has five jobs (A, B, C, D, E) to be processed on two machines M1 and M2, in the same order. Times (hours): A 4/9 Β· B 7/3 Β· C 8/10 Β· D 6/5 Β· E 9/8. Determine the optimal job sequence using Johnson's Rule, and calculate the total elapsed time (makespan) and idle times for both machines." β CO-2, BL-3, 5 marks
Three deliverables and all three are marked: the sequence, the makespan, and the idle time on each machine separately. Show the selection steps, then the two-row timeline, then the idle times computed as makespan minus each machine's own total work.
Applying the rule
- Smallest overall is 3 β job B on M2 β B goes last (position 5).
- Next is 4 β job A on M1 β A goes first (position 1).
- Next is 5 β job D on M2 β D goes as late as possible among those left β position 4.
- Remaining C(8,10) and E(9,8): smallest is 8, appearing as C on M1 and E on M2. Taking C on M1 puts C at position 2 and E at position 3.
Optimal sequence
Timeline
| Job | M1 in | M1 out | M2 in | M2 out |
|---|---|---|---|---|
| A | 0 | 4 | 4 | 13 |
| C | 4 | 12 | 13 | 23 |
| E | 12 | 21 | 23 | 31 |
| D | 21 | 27 | 31 | 36 |
| B | 27 | 34 | 36 | 39 |
Answers
- Optimal sequence: A β C β E β D β B
- Makespan (total elapsed time) = 39 hours
- Idle time on M1 = 39 β (4+8+9+6+7) = 39 β 34 = 5 hours (all at the end, after M1 finishes at hour 34)
- Idle time on M2 = 39 β (9+10+8+5+3) = 39 β 35 = 4 hours (the first 4 hours, while it waits for job A)
Check: for each machine, total processing time plus idle time must equal the makespan β 34 + 5 = 39 and 35 + 4 = 39. If they do not, the timeline is wrong.
The key gives the sequence A-C-E-D-B, makespan 39, idle M1 5 hrs and idle M2 4 hrs β all correct, and all four are separately marked.
Its M1 timeline, however, is printed as "4 β 11 β 19 β 25 β 34". The correct cumulative M1 finishes are 4, 12, 21, 27, 34: 4+8 = 12, not 11. Its M2 row (13 β 23 β 31 β 36 β 39) is correct. Use the corrected M1 row; the final answers are unaffected. The key also calls the makespan "39 days" where the question is in hours β write hours.
Revise β Short Answer 43 Β· Unit 10 Β· Johnson's Rule Β· the same rule in Final Q5(b)
Beyond the units on this site β CO-3 quality & lean 10 question parts Β· 22.5 marks per paper
Both papers devote Q6 and Q7 entirely, plus one part of Q1, to CO-3 β quality and lean management. Those topics have no unit page on this site, and they sit outside your Units 1β7 mid-term portion, so they are not your revision priority now.
They are answered below from the official SYNOPTICS, in compressed form, so that every question in both papers is accounted for and so you have something to write from if one appears in the Term End Examination. Note the pattern: all eight parts sit in Q6, Q7 or Q1(d) β and since you answer Q1 plus any 4 of Q2βQ7, you can decline both quality questions entirely and still write a full paper from Units 1β10.
| Question | Marks | Topic | Where it belongs |
|---|---|---|---|
| Final Q1(d) | 2.5 | Discuss the KANO Model | CO-3 β customer requirements & quality planning |
| Final Q6(a) | 5 | Taiichi Ohno's seven mudas, with examples | CO-3 β lean / waste elimination |
| Final Q6(b) | 5 | Five types of muda: impact and mitigation strategies | CO-3 β lean / waste elimination |
| Final Q7(a) | 5 | Six Sigma methodology and an industrial application | CO-3 β quality improvement |
| Final Q7(b) | 5 | QFD and the phases of the House of Quality | CO-3 β quality function deployment |
| Re-Exam Q1(d) | 2.5 | How Kanban helps operations, with an example | CO-3 β lean / pull production |
| Re-Exam Q6(a) | 5 | Five dimensions of quality with industrial examples | CO-3 β dimensions of quality |
| Re-Exam Q6(b) | 5 | Appraise TQM: objectives and main elements | CO-3 β total quality management |
| Re-Exam Q7(a) | 5 | A DMAIC roadmap with measurable metrics per phase | CO-3 β Six Sigma / DMAIC |
| Re-Exam Q7(b) | 5 | Voice of the Customer; benefits of QFD | CO-3 β QFD |
What the official key gives for each
- Threshold (basic) attributes β the "musts" of a product. They contribute no product differentiation; increasing them gives diminishing returns, but their absence causes dissatisfaction. Example: the brakes of a car.
- Performance attributes β most of the customer's verbalised needs. More is better and improves satisfaction; weak performance reduces it. The customer's willingness to pay is tied to these. Example: a car providing better fuel economy.
- Excitement attributes β unspoken and unexpected latent needs. Their presence can produce high satisfaction; their absence causes no dissatisfaction. They provide competitive advantage.
- Worth adding: attributes migrate downward over time β today's excitement feature becomes tomorrow's threshold (a reversing camera, once a delight, is now expected).
Waste, or muda, is defined as "anything other than the minimum amount of equipment, materials, parts, space, and time which are absolutely essential to add value to the product."
- Transportation β moving things: shipping, conveyors (materials, equipment, people).
- Inventory β storing, sorting, clutter, obsolescence.
- Motion β unnecessary movement of people and equipment.
- Waiting β idle time, including waiting for equipment, material or processes to complete.
- Over-processing β unnecessary steps in the production process.
- Over-production β making too much.
- Defects β rework and scrap due to poor quality.
| Muda | Industrial example | Impact | Mitigation |
|---|---|---|---|
| Overproduction | Extra car parts on an assembly line | Increased inventory and cost | Just-in-time production |
| Waiting | Machine downtime in a pharma plant | Delays, low labour productivity | Line balancing and preventive maintenance |
| Transport | Moving wood multiple times | Extra labour and lead time | Lean plant layout |
| Defects / rework | PCB soldering defects | Waste of time and material, reduced quality | Quality control and Six Sigma |
| Excess inventory | Overstock of yarn in a textile factory | High storage cost, capital tied up | Kanban and inventory optimisation |
The key's answer is this table β four columns, five rows. Reproduce the structure and the marks follow.
- Six Sigma is a data-driven methodology aimed at reducing defects and process variation to improve quality and efficiency.
- Its goal is continuous improvement by identifying and eliminating the causes of defects and minimising variability in manufacturing and business processes.
- It combines statistical tools, quality management principles and a structured approach β DMAIC.
| Phase | Description | Key tools |
|---|---|---|
| D β Define | Identify the problem, project goals and customer requirements | Project charter, SIPOC diagram |
| M β Measure | Collect data to understand current process performance | Process mapping, data collection plan |
| A β Analyze | Determine the root causes of defects or variation | Cause-and-effect diagram, Pareto chart |
| I β Improve | Implement and test solutions that eliminate root causes | Brainstorming, design of experiments |
| C β Control | Monitor the improved process to sustain the gains | Control charts, standard operating procedures |
Re-Exam Q7(a) asks for the same cycle applied to customer service response time in e-commerce, with measurable metrics per phase: Define β current average response time per channel, CSAT, complaint volume; Measure β response time per channel, first-response rate, queries per agent per day; Analyze β percentage of delays from agent workload, from system issues, from escalations; Improve β target response times after automated ticketing, chatbots, peak-hour scheduling and training; Control β continuous tracking per channel, weekly CSAT and complaint monitoring, periodic agent and system review.
- Quality Function Deployment is a customer-driven product and process design approach that translates customer requirements (the "what") into engineering and operational requirements (the "how").
- It ensures that products are designed from customer needs rather than internal assumptions, that marketing, design and production collaborate cross-functionally, and that customer satisfaction is built into the design from the beginning.
- Phases of the House of Quality: voice of the customer β technical requirements β relationship matrix β correlation matrix (the "roof") β competitive assessment.
Voice of the Customer (Re-Exam Q7(b)): the process of capturing customers' expectations, preferences and aversions. It represents what the customer truly wants and values in a product or service, and it is a key component of quality management and continuous-improvement systems such as Six Sigma, TQM and Lean. Two tangible benefits of QFD: shorter development time and lower design-change and warranty costs. Two intangible benefits: better cross-functional communication and a documented, traceable link from customer need to design decision.
- The term "Kanban" means "signboard" or "card" in Japanese.
- It is a card that indicates a standard quantity of production.
- It signals what to produce, when to produce and how much to produce, ensuring a smooth flow of materials through the process.
- It maintains the discipline of pull production β nothing is made until the downstream stage signals that it has been consumed.
- It authorises production and the movement of goods.
- Example to add: a supermarket shelf β the gap left by a sold item is the signal to restock, and nothing is replenished until something is taken.
For manufactured goods (Garvin's dimensions) β the question asks for any five, with industrial examples:
- Performance β basic operating characteristics: how well a car handles, or its fuel economy.
- Features β "extras" added to the basic function, such as a stereo or a leather interior in a car.
- Reliability β the probability the product operates properly within an expected time frame; a TV working without repair for about seven years.
- Conformance β the degree to which the product meets pre-established standards.
- Durability β how long the product lasts before replacement.
- Serviceability β ease and speed of repair, courtesy and competence of the repair person.
- Aesthetics β how it looks, feels, sounds, smells or tastes.
- Safety β assurance the customer will not be harmed; especially important for automobiles.
- Perceptions β subjective judgements based on brand name and advertising.
For services β time and timeliness (how long must the customer wait, is it completed on time), completeness (is everything asked for provided), courtesy (how are customers treated), consistency (the same level of service every time), accessibility and convenience, accuracy (performed right every time), and responsiveness (how well the firm reacts to unusual situations).
- Definition. TQM is a holistic management philosophy aimed at achieving long-term success through customer satisfaction. It involves all members of an organisation in improving processes, products, services and the culture in which they work.
- Objectives: deliver zero-defect products and services Β· enhance customer satisfaction and loyalty Β· reduce waste, rework and the cost of poor quality Β· build a culture of continuous improvement Β· achieve employee participation and empowerment Β· strengthen organisational competitiveness.
- Main elements: customer focus Β· continuous improvement Β· process centred Β· integrated system Β· fact-based decision making. (Commonly extended with: total employee involvement, strategic and systematic approach, and communication.)
The verb in the question is "appraise", so a full answer should also weigh TQM critically: it requires sustained senior commitment and several years to show returns, and it fails where it is implemented as a documentation exercise rather than a change in how decisions are made.
Index β every question, its unit and where to revise it
| Question | Marks | Unit | Revise from |
|---|---|---|---|
| Q1(a) β Process selection, points of indifference | 2.5 | Unit 6 | Short 30 Β· unit-06 |
| Q1(b) β Importance of layout, two layout types | 2.5 | Unit 5 | Short 20, 21 Β· unit-05 |
| Q1(c) β Stockout costs and reputation | 2.5 | Unit 7 | Short 33 Β· unit-07 |
| Q1(d) β KANO Model | 2.5 | CO-3 | Not covered on this site |
| Q2(a) β Manufacturing vs service organisations | 5 | Unit 1 | Short 03 Β· unit-01 |
| Q2(b) β Operations strategy and competitiveness | 5 | Unit 2 | Short 06 Β· unit-02 |
| Q3(a) β Retail vs heavy-industry location factors | 5 | Unit 4 | Short 16 Β· unit-04 |
| Q3(b) β Types of production systems | 5 | Unit 6 | Short 28 Β· unit-06 |
| Q4(a) β Inventory planning/ordering/storage/control, FMCG | 5 | Unit 7 | Short 31 Β· unit-07 |
| Q4(b) β EOQ, orders, cycle, total cost | 5 | Unit 8 | Short 36 Β· unit-08 |
| Q5(a) β Periodic-system order size | 5 | Unit 9 | Short 40 Β· unit-09 |
| Q5(b) β Johnson's Rule, five sculptures | 5 | Unit 10 | Short 43 Β· unit-10 |
| Q6(a), Q6(b) β Seven mudas; five mudas with mitigation | 10 | CO-3 | Key summarised above |
| Q7(a), Q7(b) β Six Sigma; QFD and House of Quality | 10 | CO-3 | Key summarised above |
| Question | Marks | Unit | Revise from |
|---|---|---|---|
| Q1(a) β Significance of productivity indices | 2.5 | Unit 1 | Short 05 Β· unit-01 |
| Q1(b) β Two factors for retail/service location | 2.5 | Unit 4 | Short 16 Β· unit-04 |
| Q1(c) β Reorder point vs EOQ | 2.5 | Units 8β9 | Short 39, 36 Β· unit-09 |
| Q1(d) β Kanban with an example | 2.5 | CO-3 | Key summarised above |
| Q2(a) β Goods vs services; goodsβservice continuum | 5 | Unit 1 | Short 03 Β· unit-01 |
| Q2(b) β Vision, mission and strategy for a startup | 5 | Unit 2 | Short 07 Β· unit-02 |
| Q3(a) β Process vs product layout for a bakery | 5 | Unit 5 | Short 21 Β· unit-05 |
| Q3(b) β Effectiveness of service layouts | 5 | Unit 5 | Short 24 Β· unit-05 |
| Q4(a) β Hidden costs of inventory | 5 | Unit 7 | Short 33 Β· unit-07 |
| Q4(b) β EOQ and total inventory cost | 5 | Unit 8 | Short 36 Β· unit-08 |
| Q5(a) β Reorder point and safety stock | 5 | Unit 9 | Short 39 Β· unit-09 |
| Q5(b) β Johnson's Rule, five jobs | 5 | Unit 10 | Short 43 Β· unit-10 |
| Q6(a), Q6(b) β Dimensions of quality; TQM | 10 | CO-3 | Key summarised above |
| Q7(a), Q7(b) β DMAIC roadmap; VOC and QFD benefits | 10 | CO-3 | Key summarised above |
What the two papers tell you about what to revise
Read side by side, the two papers repeat themselves in a way that is genuinely useful:
- Q1 always has a location part and an inventory part. Final Q1(c) is stockout costs, Re-Exam Q1(b) is retail location and Q1(c) is ROP vs EOQ. Short Answers 16 and 33 cover both papers.
- There is always a layout question worth 5 or more marks β Final Q1(b), Re-Exam Q3(a) and Q3(b). Unit 5 is the single highest-yield unit in the portion: 10 of the Re-Exam's 50 marks sat in it.
- There is always a Unit 1 conceptual question β manufacturing vs service in the Final, productivity and goods vs services in the Re-Exam. Both are table answers.
- Inventory concepts appear as prose, inventory models as numericals β the concept parts (stockout costs, hidden costs, FMCG planning) are Unit 7 and are in your portion; the numerical parts are Units 8β10 and are not.
- Every comparison answer in both SYNOPTICS is a table with a named basis column. Manufacturing vs service, ROP vs EOQ, process vs product layout, vision vs mission vs strategy β four separate questions, one answer format.
- Every concept in the keys carries a two-or-three-word example. Process layout β hospitals. Product layout β automobile manufacturing. Job shop β tailor-made furniture. Batch β bakery, pharma. Have one ready for every concept you revise.
Stripping out the seven pure numerical parts, which your faculty has ruled out of the mid-term, what remains across both papers is almost entirely explain-with-example, compare in a table, and apply to a scenario. That residue is the shape of your test.
- Re-Exam Q2(a) (goods vs services) β the key is one sentence naming five bases and nothing else. Everything is yours to supply.
- Re-Exam Q3(b) (service layouts) β set at BL-6, the key gives only three descriptive bullets with no evaluation, examples or justification, all of which the question demands.
- Re-Exam Q2(b) (startup statements) β the key is a definitions table; the question asks you to draft statements and show how they guide action.
- Final Q3(a) (location) β two bare lists, no examples and no evaluation, though "evaluate their impact with suitable industry examples" is in the question.
- Final Q2(b) (operations strategy) β a definition and two strategy labels, with no mechanism and no examples.
- Two arithmetic slips: Re-Exam Q4(b)'s total cost is printed as $2,192.88 where the correct minimum is $2,190.89, and Re-Exam Q5(b)'s Machine 1 timeline is printed as 4-11-19-25-34 where it should read 4-12-21-27-34. The final answers in both are unaffected.
The documents behind this page
- QP_Final-Exam_Operations Management(703TO0C001)_Semester VII_2025-2026.pdf β the Final Examination question paper, 28 Nov 2025, 2 hours, 50 marks, 3 pages. Question wording on this page is quoted from it.
- ANS_Final-Exam_Operations Management(703TO0C001)_Semester VII_2025-2026.pdf β the official SYNOPTICS marking key for that paper, 11 pages.
- QP_Re-Exam_Operations Management(703TO0C001)_Semester VII_2025-2026.pdf β the Re-Examination question paper, 05 Feb 2026.
- ANS_Re-Exam_Operations Management(703TO0C001)_Semester VII_2025-2026.pdf β the official SYNOPTICS key for the Re-Examination, 11 pages.
- The ten unit pages of this site and Russell & Taylor, Operations Management, for everything the keys leave out. Chapter mapping is on the References page.
- The in-class exam briefing recording, 2 September, for the mid-term scope and the no-numericals instruction β see the Exam Briefing.
Where a key states something in its own words, that wording is kept, because it is what the examiner is matching against. Where it is thin, loose or arithmetically wrong, the fuller or corrected answer is given and the discrepancy is flagged in the "what the official key expects" box for that question.