A manufacturer estimates that its product can be produced at a total cost of  C(x) = 55,000 + 100x + x3 dollars.  If the manufacturer's total revenue from the sale of x units is  R(x) = 5500x dollars,  determine the level of production x that will maximize the profit.

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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A manufacturer estimates that its product can be produced at a total cost of 

C(x) = 55,000 + 100x + x3 dollars.

 If the manufacturer's total revenue from the sale of x units is 

R(x) = 5500x dollars,

 determine the level of production x that will maximize the profit.

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