A single firm monopolizes the entire market for medicine XYZ. The firm faces a market demand curve given by: Q = 40,000 - 40P. Total and marginal cost functions of the monopolist are given by: 1,100,000 TC(Q) = —Q²-50Q+ and MC(Q) = Q 60 3 a. Derive monopolist's marginal revenue function. b. Calculate monopolist's profit-maximizing output level. c. What price does the monopolist set to maximize its profit? 500 3

ENGR.ECONOMIC ANALYSIS
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4. A single firm monopolizes the entire market for medicine XYZ. The firm faces a market demand curve
given by: QD = 40,000 - 40P. Total and marginal cost functions of the monopolist are given by:
1,100,000
TC(Q) = ²/Q² - 500 Q +
60
3
and MC(Q) == Q
30
-
500
3
3
a. Derive monopolist's marginal revenue function.
b. Calculate monopolist's profit-maximizing output level.
c. What price does the monopolist set to maximize its profit?
Calculate the profit of the monopolist.
d.
Transcribed Image Text:4. A single firm monopolizes the entire market for medicine XYZ. The firm faces a market demand curve given by: QD = 40,000 - 40P. Total and marginal cost functions of the monopolist are given by: 1,100,000 TC(Q) = ²/Q² - 500 Q + 60 3 and MC(Q) == Q 30 - 500 3 3 a. Derive monopolist's marginal revenue function. b. Calculate monopolist's profit-maximizing output level. c. What price does the monopolist set to maximize its profit? Calculate the profit of the monopolist. d.
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