5) Let the demand of an industry be described by Q(P)= (a) Calculate the market output and priçe under monopoly assuming that the monopolist's cost function is C(Q)=Q²/5+6Q+180. Find social welfare.

ECON MICRO
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Author:William A. McEachern
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Chapter10: Monopolistic Competition And Oligopoly
Section: Chapter Questions
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5) Let the demand of an industry be described by Q(P)=48-P.
(a) Calculate the market output and priçe under monopoly assuming that the
monopolist's cost function is C(Q)=Q²15+6Q+180. Find social welfare.
(b) Consider a perfectly competitive industry with n firms in which each firm's cost
function is C(q)=2q² +6q+18. Find the aggregate supply curve and compare to the
monopolist's marginal cost in (a).
(c) Calculate the market output and price in the long run under perfect competition
assuming that each firm's cost function is in (b). Find social welfare and compare to the
monopoly in (a).
(d) Determine the Lerner index corresponding to the industries in (a) and (c).
Transcribed Image Text:5) Let the demand of an industry be described by Q(P)=48-P. (a) Calculate the market output and priçe under monopoly assuming that the monopolist's cost function is C(Q)=Q²15+6Q+180. Find social welfare. (b) Consider a perfectly competitive industry with n firms in which each firm's cost function is C(q)=2q² +6q+18. Find the aggregate supply curve and compare to the monopolist's marginal cost in (a). (c) Calculate the market output and price in the long run under perfect competition assuming that each firm's cost function is in (b). Find social welfare and compare to the monopoly in (a). (d) Determine the Lerner index corresponding to the industries in (a) and (c).
7) Assume that the dairy industry is initially in a perfectly competitive equilibrium. Assume
that, in the long run, the technology is such that average cost is constant at all levels of
output. Suppose that producers agree to form an association and behave as a profit-
maximizing monopolist. Explain clearly in a diagram the effects on (a) market price, (b)
equilibrium output, (c) economic profit, (d) consumer surplus, and (e) efficiency.
Transcribed Image Text:7) Assume that the dairy industry is initially in a perfectly competitive equilibrium. Assume that, in the long run, the technology is such that average cost is constant at all levels of output. Suppose that producers agree to form an association and behave as a profit- maximizing monopolist. Explain clearly in a diagram the effects on (a) market price, (b) equilibrium output, (c) economic profit, (d) consumer surplus, and (e) efficiency.
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