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Characteristics, profit maximization (MR=MC), short-run shutdown, long-run equilibrium, and efficiency
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Perfect competition is the benchmark market structure against which all others are judged. It assumes (1) a large number of small buyers and sellers, (2) a homogeneous (identical) product, (3) free entry and exit, and (4) perfect information. No single firm can influence the market price — each is a price-taker.
Because the firm is a price-taker, its demand curve is horizontal at the market price: it can sell as much as it wants at but nothing above. As a result, — every extra unit sold adds the same amount to revenue.
A perfectly competitive firm produces 50 units at P = \8ATC = $6MC = $8$. (a) Compute total profit. (b) Is the firm at the profit-maximizing output? Justify briefly.
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Every firm — competitive or otherwise — maximizes profit at the output where marginal revenue equals marginal cost. For a price-taker this simplifies to . At that quantity, total profit per unit is , so:
The shut-down rule has a precise graphical interpretation: the firm's short-run supply curve is its MC curve above AVC.
In the long run, free entry and exit erode any economic profit. If ⇒ firms enter ⇒ market supply shifts right ⇒ falls until . Conversely, losses cause exit and rising prices.
In long-run equilibrium of perfect competition:
This generates several efficiency results:
Perfect competition is the efficiency benchmark: any other market structure (monopoly, oligopoly) is judged by how much it deviates from and how much deadweight loss that deviation creates.
(a) Per-unit profit = P - ATC = 8 - 6 = \2$2 \times 50 = \boxed{$100}$.
(b) Yes. Profit is maximized where , and for a price-taker . Here P = MC = \8$, so the firm IS at the profit-maximizing output.
At the firm's chosen output, P = \10AVC = $12ATC = $15$. Should the firm continue producing in the short run, or shut down? Explain.
Apply the shut-down rule: produce iff . Here P = \10 < AVC = $12$ ⇒ shut down in the short run.
Reason: at this price, revenue does not even cover variable costs, so producing actually adds to losses. Shutting down limits losses to fixed costs only.
In a perfectly competitive market, firms are currently earning positive economic profit. Describe the chain of events that drives the market back to long-run equilibrium, and identify the final values of , , and for the typical firm relative to its ATC curve.
Chain of events:
Long-run outcome for the typical firm:
A wheat farmer faces P = \5MC(Q) = 0.10QATC at that Q is \4, find total profit.
(a) For a price-taker, max profit at : bushels.
Consider two perfectly competitive industries. Industry A is in long-run equilibrium. In industry B, a new technology lowers ATC for ALL firms by 30%, but the technology is freely available. (a) Show what happens to firm-level price, output, and profit in industry B in the short run. (b) Trace the long-run adjustment. (c) Compare long-run equilibrium prices in industries A and B after adjustment.
(a) Short run in B: ATC and MC shift down by 30%. The market price has not yet changed (other firms haven't reacted). Each firm now produces at the new , slightly more output, and earns positive economic profit because .
(b) Long-run adjustment in B: Positive profit ⇒ entry. Some new firms enter, some existing firms expand. Market supply shifts RIGHT. Market price falls until . Each surviving firm earns zero economic profit again, but at a lower price and producing at the bottom of the new (lower) ATC curve.
(c) Comparison: Long-run in industry B is lower than in industry A by the cost-savings amount. Both industries have zero economic profit; the difference is that B's consumers permanently enjoy a lower price as the cost reduction is competed away. This illustrates why perfect competition + free entry pass cost savings on to consumers.
(b) Per-unit profit = P - ATC = 5 - 4 = \1$1 \times 50 = \boxed{$50}$.