A monopolist faces the demand curve Q(P) = 50- . The firm can produce output with marginal costs MC(Q) = Q and no fixed costs. Hint for the following questions: if revenue is of the form R(Q) = (a – bQ)Q, then the derivative of revenue is a – 26Q. (a) What is the profit maximizing price for the monopolist in this market? (b) What is the deadweight loss from monopoly in this market, compared to the efficient output that sets price equal to marginal cost?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter25: Monopoly
Section: Chapter Questions
Problem 14E
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A monopolist faces the demand curve Q(P ) = 50 − P 2 . The firm can produce output with marginal costs MC(Q) = Q and no fixed costs. Hint for the following questions: if revenue is of the form R(Q) = (a − bQ)Q, then the
derivative of revenue is a − 2bQ.
(a) What is the profit maximizing price for the monopolist in this market?
(b) What is the deadweight loss from monopoly in this market, compared
to the efficient output that sets price equal to marginal cost?

*Please fully explain out any math

A monopolist faces the demand curve Q(P) = 50- 5. The firm can produce
output with marginal costs MC(Q) = Q and no fixed costs. Hint for the
following questions: if revenue is of the form R(Q) = (a – bQ)Q, then the
%3D
derivative of revenue is a – 26Q.
(a) What is the profit maximizing price for the monopolist in this market?
(b) What is the deadweight loss from monopoly in this market, compared
to the efficient output that sets price equal to marginal cost?
Transcribed Image Text:A monopolist faces the demand curve Q(P) = 50- 5. The firm can produce output with marginal costs MC(Q) = Q and no fixed costs. Hint for the following questions: if revenue is of the form R(Q) = (a – bQ)Q, then the %3D derivative of revenue is a – 26Q. (a) What is the profit maximizing price for the monopolist in this market? (b) What is the deadweight loss from monopoly in this market, compared to the efficient output that sets price equal to marginal cost?
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