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When all inputs can vary, how does long-run average cost behave, and what are economies and diseconomies of scale?

Topic 3.3 Long-Run Production Costs: explain the long-run average total cost curve as an envelope of short-run curves, and identify economies of scale, diseconomies of scale, and constant returns to scale.

A focused answer to AP Microeconomics Topic 3.3, covering the long run when all inputs are variable, the long-run average total cost curve as an envelope of short-run curves, economies and diseconomies of scale, constant returns to scale, and minimum efficient scale, with worked exam-style questions.

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  1. What this topic is asking
  2. The long run and the envelope curve
  3. Economies, diseconomies, and constant returns to scale
  4. Minimum efficient scale
  5. Try this

What this topic is asking

Topic 3.3 moves from the short run to the long run, where the firm can vary every input, including the size of its plant. The College Board wants you to explain the long-run average total cost (LRATC) curve as an envelope of short-run curves, and to identify the three regions: economies of scale, diseconomies of scale, and constant returns to scale, along with the idea of minimum efficient scale.

The long run and the envelope curve

Each short-run average total cost curve corresponds to one fixed plant size. As the firm plans for the long run, it can pick whichever plant gives the lowest average cost for the output it wants. The LRATC curve is therefore the envelope that wraps under all the short-run curves, touching each one at the output where that plant is the cheapest choice. This is why the long run is sometimes called the "planning horizon."

Economies, diseconomies, and constant returns to scale

The U-shape of LRATC therefore tells a story of scale: small firms benefit from growing (economies), there is often a flat range of efficient sizes (constant returns), and beyond some point getting bigger raises average cost (diseconomies). Note that economies and diseconomies of scale are a long-run phenomenon about changing all inputs, which is different from the short-run diminishing marginal returns of Topic 3.1, where one input varies against a fixed input. Keeping these two apart is a common exam discriminator.

Minimum efficient scale

When minimum efficient scale is very large compared with the size of the market, average cost keeps falling over the whole relevant range, a condition that produces a natural monopoly (Unit 4), because one large firm can serve the market more cheaply than several smaller ones.

Try this

Q1. State why there are no fixed costs in the long run. [1 point]

  • Cue. All inputs, including plant and capital, are variable in the long run, so nothing is fixed and there are no fixed costs.

Q2. A firm's LRATC rises as it expands output. State which scale condition this is and give one cause. [2 points]

  • Cue. Diseconomies of scale; a cause is coordination or management difficulties in a very large organization.

Exam-style practice questions

Practice questions written in the style of College Board exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

AP 2019 (style)1 marksMultiple choice. When a firm's long-run average total cost falls as output increases, the firm is experiencing (A) diseconomies of scale. (B) economies of scale. (C) constant returns to scale. (D) diminishing marginal returns. (E) a fixed cost increase.
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The answer is (B). Economies of scale occur when long-run average total cost falls as output (and plant size) increases, often due to specialization and bulk efficiencies.

(A) is the opposite (LRATC rising). (C) is flat LRATC. (D) is a short-run idea about a variable input with a fixed input, not the long run. (E) is unrelated; in the long run there are no fixed costs.

AP 2021 (style)3 marksFree response (short). (a) Explain why there are no fixed costs in the long run. (b) Define minimum efficient scale. (c) Explain one cause of diseconomies of scale.
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A three-point short FRQ.

(a) (1 point): in the long run all inputs (including plant and capital) are variable, so the firm can change every input; with nothing fixed, there are no fixed costs.

(b) (1 point): minimum efficient scale is the lowest output at which long-run average total cost is minimized (where economies of scale are exhausted).

(c) (1 point): a cause of diseconomies of scale, for example, coordination and communication problems in a very large firm, which raise long-run average total cost as output grows.

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