Q=550-3p, where function C(Q) = 5 Q + f

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter8: Monopoly
Section: Chapter Questions
Problem 15SQ
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Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by
Q=550-3p, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the
function
C(Q) = 5 Q + f
where f is the firm's fixed cost. Find the price that the firm will charge consumers in order to maximize its profit.
Find the value of the firm's fixed cost such that the firm makes zero profit. Call this value of the fixed cost the "break
even fixed cost" or simply fbe.
If the firm's actual fixed cost is 1.5 times the fbe value you found, i.e., f = 1.5 fbe, what is the efficiency loss of the single-
price monopoly equilibrium?
Transcribed Image Text:Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=550-3p, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 5 Q + f where f is the firm's fixed cost. Find the price that the firm will charge consumers in order to maximize its profit. Find the value of the firm's fixed cost such that the firm makes zero profit. Call this value of the fixed cost the "break even fixed cost" or simply fbe. If the firm's actual fixed cost is 1.5 times the fbe value you found, i.e., f = 1.5 fbe, what is the efficiency loss of the single- price monopoly equilibrium?
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