Suppose that the demand equation for a monopolist is p = 100 - .01x and the cost function is C(x) = 50x + 10,000. (See Fig. 9.) Find the value of x that maximizes the profit, and determine the corresponding price and total profit for this level of production.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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Suppose that the demand equation for a monopolist is p = 100 - .01x and the cost function is C(x) = 50x + 10,000. (See Fig. 9.) Find the value of x that maximizes the profit, and determine the corresponding price and total profit for this level of production.

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