A monopolist’s inverse demand function is estimated as P = 400 − 2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 7Q1, 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. Round your response to two decimal places. Output for facility 1: ______ Output for facility 2: ______ c. Determine the profit-maximizing price. Round your response to the nearest penny (two decimal places). $ _______
A monopolist’s inverse demand function is estimated as P = 400 − 2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 7Q1, 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. Round your response to two decimal places. Output for facility 1: ______ Output for facility 2: ______ c. Determine the profit-maximizing price. Round your response to the nearest penny (two decimal places). $ _______
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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A monopolist’s inverse demand function is estimated as P = 400 − 2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 7Q1, 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. Round your response to two decimal places.
Output for facility 1: ______
Output for facility 2: ______
c. Determine the profit-maximizing price . Round your response to the nearest penny (two decimal places).
$ _______
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