9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is C(x) = 50x + 10, 000. (a) Find the marginal cost. (b) Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production. (Answer: Produce 2500 units and sell them at $75 per unit. The profit will be $52,500).
9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is C(x) = 50x + 10, 000. (a) Find the marginal cost. (b) Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production. (Answer: Produce 2500 units and sell them at $75 per unit. The profit will be $52,500).
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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