Suppose that the demand for platinum is given by Q = 80 - 0.5P,where Q is in grams of platinum per day and P is the price per ton. Platinum is produced by a monopolist at a constant marginal and average total cost of $500 per gram. a. Derive the inverse demand and marginal revenue curves faced by the monopolist. b. What is the profit-maximising level of output? c. What is the profit-maximising price?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter13: Antitrust And Regulation
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Suppose that the demand for platinum is given by Q = 80 - 0.5P,where Q is in grams of platinum per day and P
is the price per ton. Platinum is produced by a monopolist at a constant marginal and average total cost of $500
per gram.
a. Derive the inverse demand and marginal revenue curves faced by the monopolist.
b. What is the profit-maximising level of output?
c. What is the profit-maximising price?
d. What is the profit maximising price if demand increased to Q = 95 – 0.5P?
Transcribed Image Text:Suppose that the demand for platinum is given by Q = 80 - 0.5P,where Q is in grams of platinum per day and P is the price per ton. Platinum is produced by a monopolist at a constant marginal and average total cost of $500 per gram. a. Derive the inverse demand and marginal revenue curves faced by the monopolist. b. What is the profit-maximising level of output? c. What is the profit-maximising price? d. What is the profit maximising price if demand increased to Q = 95 – 0.5P?
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