Suppose a firm faces the following demand čürve: and the following cost function: C(Q) = 100 + 2Q+ 8Q² – 0.1Q %3D (a) What is the function for their total revenue? (b) What is the function for their marginal revenue? (c) What is the function for their marginal cost? (d) At what quantity do they maximize profit? (e) Suppose I instead tell you the firm faces a cost function of the form C(Q) = B+10Q+8Q² - 0.1Q³, but do not give you the value of B. Can you still solve for the firm's profit maximizing quantity? Why or why not? %3D

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter11: Price And Output Determination: Monopoly And Dominant Firms
Section: Chapter Questions
Problem 3E
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solve b, c, and d

Suppose a firm faces the following demand curve: P(Q) = 90–2Q-0.1Q²,
and the following cost function: C(Q) = 100+ 2Q + 8Q2 – 0.1Q
%3D
(a) What is the function for their total revenue?
(b) What is the function for their marginal revenue?
(c) What is the function for their marginal cost?
(d) At what quantity do they maximize profit?
(e) Suppose I instead tell you the firm faces a cost function of the form
C(Q) = B+10Q+8Q2-0.1Q³, but do not give you the value of B.
Can you still solve for the firm's profit maximizing quantity? Why
or why not?
%3D
Transcribed Image Text:Suppose a firm faces the following demand curve: P(Q) = 90–2Q-0.1Q², and the following cost function: C(Q) = 100+ 2Q + 8Q2 – 0.1Q %3D (a) What is the function for their total revenue? (b) What is the function for their marginal revenue? (c) What is the function for their marginal cost? (d) At what quantity do they maximize profit? (e) Suppose I instead tell you the firm faces a cost function of the form C(Q) = B+10Q+8Q2-0.1Q³, but do not give you the value of B. Can you still solve for the firm's profit maximizing quantity? Why or why not? %3D
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