5) Let the demand of an industry be described by Q(P)=48-P. (a) Calculate the market output and price under monopoly assuming that the monopolist's cost function is C(O)=0/5+60+180. Find social welfare. (b) Consider a perfectly competitive industry with n firms in which each firm's cost function is C(q)=2q+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).

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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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).
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