S5 Economics paper 2: cost curves and scale
- 2026-11-10
S5 Economics paper 2: cost curves and scale
Ten items handle substitution into a cost curve, the minimum point and minimum efficient scale, then separate learning curves, natural monopoly and economies of scope.
Direct answers Items 01 to 03 substitute into the cost curve, 04 to 06 compute percentage gaps, firm numbers and cost elasticity, 07 to 09 distinguish learning curves, natural monopoly and scope economies, and 10 corrects short-run and long-run confusion.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 25 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: S5 Economics Long-run Cost and Economies of Scale |
| Level | S5 |
02 Questions (10 items)
- FoundationA firm has long-run average cost 3,600 / Q + 16 + 0.04Q. Find average cost at Q = 300.
- FoundationFor the same cost curve, at what output is long-run average cost lowest?
- FoundationFor the same curve, find average cost at Q = 150.
- IntermediateHow much higher is average cost at 150 units than at 300 units?
- IntermediateMinimum efficient scale is 300 units and market demand is 900 units. How many firms can reach minimum cost?
- IntermediateOutput rises 25 per cent and average cost falls 10 per cent. Find the absolute cost elasticity with respect to output.
- ChallengeA firm cuts cost through accumulated production experience rather than current scale. What is this called?
- ChallengeIn an industry long-run average cost keeps falling across the whole range of market demand. Which market structure is most likely?
- ChallengeA firm makes two products and shares warehouses and managers, lowering unit cost. What is this called?
- Error redoA student calls any fall in short-run average cost economies of scale. Why is that inaccurate?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | $40 (12 + 16 + 12). | Substitute term by term: 12 spread, 16 constant, 12 variable. |
| 2 | 300 units. | It is lowest where the falling spread term offsets the rising variable term. |
| 3 | $46 (24 + 16 + 6). | Halving output lifts the spread part from 12 to 24. |
| 4 | 15 per cent ((46 – 40) / 40). | Use the minimum-point average cost as the denominator. |
| 5 | Three firms (900 / 300). | Divide market demand by minimum efficient scale. |
| 6 | 0.4 (10 per cent / 25 per cent). | Below one means economies of scale still exist but are modest. |
| 7 | The learning curve (learning by doing). | The learning curve depends on cumulative output; economies of scale depend on current output. |
| 8 | Natural monopoly. | One firm can supply the market most cheaply, blocking entry. |
| 9 | Economies of scope. | Savings from shared inputs, distinct from simply producing more of one good. |
| 10 | A short-run fall often just spreads fixed cost; economies of scale need the long run with all inputs variable. | In the short run plant size is fixed, so scale cannot really change. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
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