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.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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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.
Transcribed Image Text: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.
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