A monopolist's inverse demand function is estimated as P 250-2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC(Q) = 7Q, and the marginal cost of producing at facility 2 is MC2(Q2) 202- a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q+02 P.) MR(Q) = 250 4 Q1- 4 Q2 b. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: 35.000 Output for facility 2: 10 x c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). $ 160

Survey Of Economics
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ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter8: Monopoly
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A monopolist's inverse demand function is estimated as P 250-2Q. The company produces output at two facilities; the marginal
cost of producing at facility 1 is MC(Q) = 7Q, and the marginal cost of producing at facility 2 is MC2(Q2) 202-
a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q+02 P.)
MR(Q) =
250
4
Q1-
4
Q2
b. Determine the profit-maximizing level of output for each facility.
Instructions: Round your response to two decimal places.
Output for facility 1: 35.000
Output for facility 2:
10 x
c. Determine the profit-maximizing price.
Instructions: Round your response to the nearest penny (two decimal places).
$
160
Transcribed Image Text:A monopolist's inverse demand function is estimated as P 250-2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC(Q) = 7Q, and the marginal cost of producing at facility 2 is MC2(Q2) 202- a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q+02 P.) MR(Q) = 250 4 Q1- 4 Q2 b. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: 35.000 Output for facility 2: 10 x c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). $ 160
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