4. Consider a market where every firm and every potential entrant has the iden- tical cost function C(q) = 3q³-6q² +6q. (a) Find the firm's inverse supply function. (b) Suppose the market demand function is given by QP (P) = 20-2P. Find the long-run equilibrium price, quantity, and the number of firms. (c) Suppose the demand function suddenly becomes perfectly inelastic at quan- tity Q = 7. Find the long-run equilibrium price, quantity and the number of firms. (d) Suppose the demand becomes perfectly inelastic at quantity Q = 7, and the government decides to collect a per unit tax t = 4 from the producers for every unit of the good they sell. Find the long-run equilibrium price, quantity and the number of firms.
4. Consider a market where every firm and every potential entrant has the iden- tical cost function C(q) = 3q³-6q² +6q. (a) Find the firm's inverse supply function. (b) Suppose the market demand function is given by QP (P) = 20-2P. Find the long-run equilibrium price, quantity, and the number of firms. (c) Suppose the demand function suddenly becomes perfectly inelastic at quan- tity Q = 7. Find the long-run equilibrium price, quantity and the number of firms. (d) Suppose the demand becomes perfectly inelastic at quantity Q = 7, and the government decides to collect a per unit tax t = 4 from the producers for every unit of the good they sell. Find the long-run equilibrium price, quantity and the number of firms.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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