You are the manager of a monopoly, and your demand and cost functions are given by P = 300 – 3Q and C(Q) = 1,500 + 2Q2, respectively. What price-quantity combination maximizes your firm’s profits? Calculate the maximum profits. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity combination? What price-quantity combination maximizes revenue? Calculate the maximum revenues? Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price-quantity combination?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopoly
Section: Chapter Questions
Problem 6SQ
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You are the manager of a monopoly, and your demand and cost functions are given by P = 300 – 3Q and C(Q) = 1,500 + 2Q2, respectively.

  1. What price-quantity combination maximizes your firm’s profits?
  2. Calculate the maximum profits.
  3. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity combination?
  4. What price-quantity combination maximizes revenue?
  5. Calculate the maximum revenues?
  6. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price-quantity combination?
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