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A competitive firm has the long-run total cost function TC(Q) = 4Q 2 +100Q+100 (a) Provide long-run marginal cost function LMC(Q) and long-run average cost

A competitive firm has the long-run total cost function TC(Q) = 4Q 2 +100Q+100

(a) Provide long-run marginal cost function LMC(Q) and long-run average cost LAC(Q).

(b) If the market has N identical firm in the industry and the market demand is Q = 1000P. In the equilibrium, what is N?

(c) Suppose the government grants a lump-sum subsidy to each firm to reduce the manufacture cost. If this lump-sum subsidy equals $36, what should the market price be in this case?

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