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. (Hint: Recall that Q₁ + Q₂ = Q.) MR(Q) = 400 $ 7Q₁- b. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: 14 Output for facility 2: 50 c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). 272 x 4 Q2

Micro Economics For Today
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ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopoly
Section: Chapter Questions
Problem 15SQ
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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. (Hint: Recall that Q₁
+ Q₂ = Q.)
MR(Q) = 400
$
7Q₁-
b. Determine the profit-maximizing level of output for each facility.
Instructions: Round your response to two decimal places.
Output for facility 1:
14
Output for facility 2:
50
c. Determine the profit-maximizing price.
Instructions: Round your response to the nearest penny (two decimal places).
272 x
4 Q2
Transcribed Image Text: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. (Hint: Recall that Q₁ + Q₂ = Q.) MR(Q) = 400 $ 7Q₁- b. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: 14 Output for facility 2: 50 c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). 272 x 4 Q2
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