4) The cost of making x items is C(x)=15+2x. The cost p per item and the number made x are related by the equation p+x=25. Profit is then represented by px-C(x) [revenue minus cost].   a) Find profit as a function of x b) Find x that makes profit as large as possible c) Find p that makes profit maximum.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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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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4) The cost of making x items is C(x)=15+2x. The cost p per item and the number made x are related by the equation p+x=25. Profit is then represented by px-C(x) [revenue minus cost].

 

a) Find profit as a function of x

b) Find x that makes profit as large as possible

c) Find p that makes profit maximum.

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