Producer surplus:

Question

Producer surplus:

BlackTom AI · Accepted Answer

Producer surplus equals the difference between the market price and the marginal cost of production.

1. Relevant knowledge points and concepts
- The supply curve in microeconomics represents the marginal cost (MC) of producing additional units. 
- Producer surplus (PS) measures the gain producers receive when they sell at the market price (P) that is higher than the cost of producing the last unit (MC). 
- PS is distinct from profit (which uses average cost) and unrelated to consumer utility.

2. Complete reasoning process step by step
- For each unit produced, the producer incurs a marginal cost MC(q). If the market price is P and P > MC(q), the producer obtains a surplus of P − MC(q) on that unit. 
- Total producer surplus is the sum (or integral) of P − MC over all units produced up to the equilibrium quantity Q*, where production stops when MC = P (assuming competitive market).

3. Calculations with intermediate steps
Discrete example:
- Suppose market price P = $10, and marginal costs for units 1–3 are MC1 = 4, MC2 = 6, MC3 = 9.
- Unit surpluses: 10 − 4 = 6; 10 − 6 = 4; 10 − 9 = 1.
- Total PS = 6 + 4 + 1 = $11.

Continuous example:
- Let MC(q) = 2q + 1 and P = 11. Find Q* where MC = P:
  2q + 1 = 11 → 2q = 10 → q = 5.
- PS = ∫0^5 (P − MC(q)) dq = ∫0^5 (11 − (2q + 1)) dq = ∫0^5 (10 − 2q) dq.
- Integrate: [10q − q^2] from 0 to 5 = (10·5 − 25) − 0 = 50 − 25 = 25.

4. Why the correct answer is correct
- Producer surplus is by definition the area between the horizontal line at market price and the upward-sloping MC (supply) curve up to the output produced. This area equals the aggregated differences P − MC(q), so the correct statement is that PS is the difference between market price and marginal cost.

5. Why the other options are incorrect
- "Difference between market price and average cost": that difference times quantity gives profit, not producer surplus; average cost aggregates per-unit total costs, not the incremental cost for each unit.
- Any option referencing consumer marginal/average utility is incorrect because consumer utility pertains to demand and buyers’ valuation, not producers’ cost-based surplus.

6. Conclusion confirming final answer
The correct choice is: "is the difference between market price and the marginal cost of production." This matches the provided answer.

Producer surplus:单项选择题

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