A monopolist's inverse demand function is estimated as P= 150 – 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC(Q) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) =2Q2. a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q + Q2 = Q.) MR(Q) = Q2 b. Determine the profit-maximizing level of output for each facility. Output for facility 1: Output for facility 2:| c. Determine the profit-maximizing price.

A monopolist's inverse demand function is estimated as P= 150 – 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC(Q) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) =2Q2. a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q + Q2 = Q.) MR(Q) = Q2 b. Determine the profit-maximizing level of output for each facility. Output for facility 1: Output for facility 2:| c. Determine the profit-maximizing price.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter14: Monopoly

Section: Chapter Questions

Problem 14.5P

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A monopolist's inverse demand function is P=150-3Q. the company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1)=6Q1, and the marginal cost of producing at facility 2 is MC2(Q2)=2Q2 A). Provide the equation for the monopolist's marginal revenue function. MR(Q)= ___ -___Q1-____Q2 B). Determine the profit-maximizing level of output for each facility. Output for facility 1: Output for facility 2: C). Determine the profit-maximizing price.