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Consider a competitive industry with several identical firms. The long run average cost of a firm producing q units of output is given by AC(q)

Consider a competitive industry with several identical firms. The long run average

cost of a firm producing q units of output is given by

AC(q) = 10 6q + q2.

Suppose factor costs are constant and there is free entry and exit. Suppose market

demand is

QD(P) = 31 P.

where P denotes market price. Determine the number of firms in the industry

in the long run equilibrium.

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