MicroIQ · AP Microeconomics · Lesson 8 of 15
MicroIQ · AP Microeconomics

Lesson 08: Long-Run Costs & Profit

Unit 3 · Phase 3

Objectives

Warm-Up

Why can a mega-brewery sell beer for a fraction of what a craft brewery charges? Scale. One giant brewhouse, specialized crews, bulk grain contracts — cost per bottle plummets as output grows. But why isn't there just one brewery serving the whole planet? Because past some size, the savings reverse: layers of managers, slow decisions, coordination chaos. Today's lesson maps that whole arc — and then rebuilds the definition of "profit," because economists count a cost your accountant ignores.


Core Concept

The long-run average total cost curve

In the long run every input — plant size included — is variable. The LRATC curve shows the lowest possible average cost of each output level once the firm can choose any plant size. It's the "envelope" hugging the bottoms of all possible short-run ATC curves.

[GRAPH: LRATC. X-axis "Quantity", Y-axis "Cost per unit". A wide U-shaped curve formed as the lower envelope of several overlapping short-run ATC curves. Left region labeled "Economies of scale (LRATC falling)"; flat middle labeled "Constant returns to scale"; right region labeled "Diseconomies of scale (LRATC rising)". The lowest output at which LRATC reaches its minimum labeled "Minimum efficient scale (MES)".]

Three regions:

Region LRATC Why
Economies of scale Falling as Q ↑ Specialization of labor and equipment, bulk buying, spreading design/R&D costs, better technology becomes worthwhile
Constant returns to scale Flat Doubling inputs doubles output; replicating plants
Diseconomies of scale Rising as Q ↑ Management layers, communication and coordination costs, bureaucracy

Minimum efficient scale (MES): the smallest output at which LRATC is minimized. Industries with huge MES relative to market demand end up with few firms (foreshadowing natural monopoly, Lesson 11); tiny MES → room for many small firms.

Don't confuse: diminishing marginal returns is a short-run phenomenon (fixed input required); diseconomies of scale is a long-run phenomenon (all inputs variable). The exam plants this exact distractor.

Explicit vs. implicit costs

Economic cost = explicit + implicit.

Accounting profit vs. economic profit

Accounting profit = Total revenue − explicit costs
Economic profit  = Total revenue − explicit costs − implicit costs

Economic profit ≤ accounting profit, always (implicit costs ≥ 0).

Normal profit: the zero that isn't sad

Zero economic profit = normal profit. It means the firm's revenue covers everything, including the owner's next-best alternatives — the owner is doing exactly as well as she could anywhere else. That's why zero economic profit is the long-run resting point of competitive markets (Lesson 9): no one has an incentive to leave (they can't do better elsewhere) and no outsider has an incentive to enter (they can't beat their alternatives here).


Worked Examples

Example 1 (easy): Two profits

Maria quit a $70,000 job to open a studio. Revenue: $180,000. She pays $60,000 in wages, $30,000 rent, $20,000 supplies. She also invested $50,000 of savings that had earned 4% interest. Find accounting and economic profit.

Solution: - Explicit costs = 60k + 30k + 20k = $110,000 → Accounting profit = 180k − 110k = $70,000 - Implicit costs = forgone salary 70,000 + forgone interest (0.04 × 50,000 = 2,000) = $72,000 - Economic profit = 70,000 − 72,000 = −$2,000

Interpretation: Positive accounting profit, negative economic profit: Maria is $2,000 worse off than her best alternative. An economist would (gently) suggest the old job.

Example 2 (medium): Reading the LRATC

A firm's LRATC: $10 at Q = 1,000; $6 at Q = 5,000; $6 at Q = 12,000; $9 at Q = 20,000. Identify the scale regions and the MES.

Solution: Falling ($10→$6) up to 5,000 → economies of scale. Flat ($6) from 5,000 to 12,000 → constant returns. Rising ($6→$9) beyond 12,000 → diseconomies. MES = 5,000 (smallest Q achieving minimum LRATC of $6).

Interpretation: MES is the first quantity at the bottom of the curve, not the last.

Example 3 (AP-style): Short-run vs. long-run vocabulary

"As MegaCorp added workers to its fixed assembly line, output per additional worker fell. Also, after MegaCorp tripled all inputs — plants, machines, and workforce — its average cost rose. Are these the same phenomenon?"

Solution: No. The first is diminishing marginal returns — short run, variable labor against a fixed input. The second is diseconomies of scale — long run, all inputs scaled up, average cost rising due to management/coordination problems.

Interpretation: Fixed input present → "returns." All inputs changing → "scale." That vocabulary check is worth real points.


Common Mistakes

  1. Treating zero economic profit as failure. It's normal profit — the owner's resources are earning exactly their opportunity cost. Competitive long-run equilibrium lives here.
  2. Confusing diminishing returns with diseconomies of scale. Short run/fixed input vs. long run/all inputs. Different concepts, different graphs, different lessons.
  3. Omitting implicit costs from economic profit. Forgone salary and forgone interest count. If the problem mentions what the owner "gave up," it belongs in economic cost.
  4. Thinking bigger is always cheaper. Only in the economies-of-scale region. Past MES-plateau, growth raises average cost.
  5. Calling LRATC the sum of short-run costs. It's the envelope — the minimum ATC available at each output when plant size is chosen optimally.

Practice Problems

Question 1
Economies of scale exist when:
Question 2
Implicit costs are:
Question 3
A firm has revenue of $500,000, explicit costs of $350,000, and implicit costs of $150,000. Its accounting and economic profits are:
Question 4
A firm earning zero economic profit:
Question 5
Diseconomies of scale are most likely caused by:
Question 6
The minimum efficient scale is:
Question 7
Diminishing marginal returns differ from diseconomies of scale because diminishing returns:
Question 8
An industry's MES occurs at an output that is large relative to total market demand. The market will most likely support:

9. (FRQ-style) Theo owns a building he could rent out for $24,000/year. He quits a $56,000/year job to open a board-game café in his building. In year one: revenue $210,000; wages $80,000; inventory and supplies $45,000; utilities $10,000. (a) Calculate Theo's explicit costs and accounting profit. (b) Calculate Theo's implicit costs and economic profit. (c) Based on (b), should Theo remain in business? Explain using the concept of normal profit. (d) If many entrepreneurs like Theo enter the café industry, what does that imply about the economic profits typical incumbents were earning?


Show answer key & explanations

(g) Answer Key

1. (B) Scale economies are a long-run average cost phenomenon. (A) is short-run AFC spreading — the classic confusion.

2. (C) Implicit costs = opportunity costs of owner-supplied resources (forgone salary, interest, rent).

3. (A) Accounting: 500k − 350k = $150,000. Economic: 500k − 350k − 150k = $0. (E) is the trap for subtracting implicit costs twice.

4. (D) Zero economic profit = normal profit = doing as well as the best alternative. Firms stay.

5. (C) Bureaucracy and coordination failures — the textbook driver of rising LRATC.

6. (E) By definition — the first quantity reaching minimum LRATC.

7. (B) Fixed input vs. all inputs: the defining difference.

8. (C) Huge MES → few firms can operate at efficient scale → concentrated market (path to oligopoly/natural monopoly).

9. (FRQ rubric, 6 points) - (a) 2 pts: Explicit = 80k + 45k + 10k = $135,000 (1). Accounting profit = 210k − 135k = $75,000 (1). - (b) 2 pts: Implicit = 56k salary + 24k rent = $80,000 (1). Economic profit = 75k − 80k = −$5,000 (1). - (c) 1 pt: No (in the long run) — economic profit is negative, so Theo earns less than normal profit; his resources would earn $5,000 more in their best alternative uses. - (d) 1 pt: Entry signals that incumbents were earning positive economic profit (above-normal returns attract entrants).


Exam tip: Two guaranteed question types from this lesson: (1) compute both profits from a story with forgone salary/rent/interest buried in it — underline every "gave up/quit/could have" phrase, that's your implicit-cost list; (2) label LRATC regions. And keep "zero economic profit is fine" loaded — it's the key that unlocks long-run equilibrium in the next lesson.

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