Suppose a company has fixed costs of $54,400 and variable cost per unit of 4/9x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1856 − 5/9x dollars per unit. (a) Find the break-even points   (b) Find the maximum revenue.   (c) Form the profit function P(x) from the cost and revenue functions.

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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Suppose a company has fixed costs of $54,400 and variable cost per unit of 4/9x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1856 − 5/9x dollars per unit.

(a) Find the break-even points
 
(b) Find the maximum revenue.
 
(c) Form the profit function P(x) from the cost and revenue functions.
 
 
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