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CFA Level I · CFA Level I Exam · The Firm and Market Structures

A monopolistically competitive firm faces demand P = 100 − 2Q and has constant marginal cost of 20. Marginal revenue is MR = 100 − 4Q. The profit-maximizing price is closest to:

The profit-maximizing price is about 60. Setting marginal revenue equal to marginal cost gives 100 − 4Q = 20, so Q is 20. Substituting into the demand curve gives P = 100 − 2(20) = 60.

  1. A40
  2. B60Correct
  3. C80

Explanation

Set MR = MC: 100 − 4Q = 20, so Q = 20. Price from demand is 100 − 2(20) = 60. A price of 40 comes from using P = MC with Q = 30 incorrectly, or mistakes in the demand slope; 80 results from using Q = 10.

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