How do firms in perfect competition determine their price and level of output?

Question

BlackTom AI · Accepted Answer

In perfect competition, firms are price takers: market supply and demand set the market price, and individual firms accept that price. The firm's output decision then follows the profit‑maximizing rule MR = MC, and because each firm faces a perfectly elastic demand at the market price, marginal revenue (MR) equals the market price (P).

1) Relevant concepts
- Price taker: each firm’s demand curve is horizontal at the market price; the firm cannot influence P.
- Total revenue TR = P·Q; marginal revenue MR = dTR/dQ = P for a competitive firm.
- Profit maximization requires MR = MC (marginal cost).

2) Step‑by‑step reasoning
- Start with profit maximization: choose Q to maximize π = TR − TC. Differentiate: dπ/dQ = MR − MC = 0 → MR = MC.
- For a perfectly competitive firm MR = P, so the condition becomes P = MC.
- Therefore the firm chooses the output Q where its marginal cost curve intersects the horizontal price line (MR = P).

3) Calculations / intermediate step (algebraic)
- TR = P·Q → MR = d(TR)/dQ = P.
- Set MR = MC → P = MC. Solve for Q where MC(Q) = P.

4) Why the correct answer is correct
- Option (a) states: price is determined by the market; output is determined by marginal costs and marginal revenue. This matches the logic above: market determines P, and the firm picks Q where MR (=P) equals MC.

5) Why other options are incorrect
- (b) and (c) wrongly claim the firm determines price; in perfect competition firms are price takers. 
- (d) says output is determined by the level of demand; that’s misleading: the firm’s own demand is perfectly elastic, so output is set by the MR = MC rule rather than by the market demand curve directly.

6) Conclusion
The correct choice is (a): Price is determined by the market; output is determined by marginal costs and marginal revenue. This matches the provided answer.

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