亚历克斯在一家大型餐厅担任厨师多年，年薪6万美元。他一直梦想着开办一家餐饮公司。有一天，他决定付诸行动，辞去了现在的工作。为了支付公司运营成本，他从年利率为4%的银行储蓄账户中取出5万美元。他雇佣了一名助手，租用了厨房，并购买了一些食材（2万美元）。第一年，他售出了价值8万美元的食品；支付了助手2.5万美元的工资；并支付了1.2万美元的厨房租金。他这一年的经济利润是多少？

Question

BlackTom AI · Accepted Answer

Economic profit = total revenue − explicit costs − implicit (opportunity) costs, so we must subtract both out‑of‑pocket payments and forgone earnings/returns.

1) Relevant concepts
- Explicit costs: actual cash payments made by the business (wages, rent, materials).
- Implicit costs (opportunity costs): value of opportunities given up (Alex’s forgone salary and forgone interest on withdrawn savings).
- Economic profit includes both; accounting profit includes only explicit costs.

2) Step‑by‑step reasoning and calculations
- Total revenue: $80,000 (sales).
- Explicit costs:
  - Assistant’s wage = $25,000
  - Kitchen rent = $12,000
  - Food ingredients = $20,000
  Sum of explicit costs = 25,000 + 12,000 + 20,000 = $57,000
- Implicit costs (opportunity costs):
  - Forgone salary = $60,000 (he quit his job)
  - Forgone interest on $50,000 savings at 4% = 0.04 × 50,000 = $2,000
  Sum of implicit costs = 60,000 + 2,000 = $62,000
- Total opportunity-adjusted costs = explicit (57,000) + implicit (62,000) = $119,000

3) Economic profit calculation (showing final arithmetic)
- Economic profit = Revenue − Total costs = 80,000 − 119,000 = −39,000

4) Why this answer is correct
- Economic profit must account for both the cash expenses and what Alex gave up by starting the business (his salary and the interest he could have earned). Including those opportunity costs produces the −$39,000 result.

5) Why the other options are incorrect
- a. $23,000: This equals accounting profit (80,000 − 57,000) because it ignores implicit costs; it does not represent economic profit.
- b. −$87,000: This would correspond to subtracting some combination of costs differently (e.g., including some implicit cost but not all); it does not match the correct full opportunity‑cost calculation.
- c. $20,000: No combination of correct explicit+implicit costs leads to +$20,000; it’s incorrect.

6) Conclusion
Applying the economic‑profit formula with all explicit and implicit costs gives −$39,000, which confirms the provided correct answer (d. −39,000 USD).

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