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Suppose in a competitive market, the long-run cost function of a firm is ?(?) = 0.66874?5⁄4...

Suppose in a competitive market, the long-run cost function of a firm is ?(?) = 0.66874?5⁄4 + 1,280 where x is the output.

(a) What is the minimum long-run average cost? At what output level is this attained?

(b) Suppose all firms are identical, what is the long-run profit of each firm in the competitive market? What is the long-run equilibrium price?

(c) Suppose there are 64,000 consumers each with demand function xd(p) = 625/p2 How many firms exist in the long-run?

(d) On a diagram, show the market long-run equilibrium.

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