The long-run cost function of the representative firm in an industry is C(q)=q3/3-2q2 +10q and the market demand function is D(p)=3600-120p. Determine the quantity supplied by the representative firm, the market price, the total sales, and the number of firms in the long-run industry equilibrium.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
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Economics

(a) The long-run cost function of the representative firm in an industry is C(q)=q3/3-2q2 +10q and the market demand function is D(p)=3600-120p. Determine the quantity supplied by the representative firm, the market price, the total sales, and the number of firms in the long-run industry equilibrium. 

(b)  In a closed economy, the demand and the supply function for a given commodity are QD =150-2and QS =- 50+2p, respectively. Suppose that the government provides a subsidy equal to 12 Euros per unit of quantity supplied. Determine the price the producers receive, the price the consumers pay, the total sales, and the cost to the taxpayers in the industry equilibrium with the subsidy.

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