Suppose a company has fixed costs of $41,600 and variable cost per unit of  2/5x+ 444 dollars,  where x is the total number of units produced. Suppose further that the selling price of its product is  1776 − 3/5x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x =          (b) Find the maximum revenue. (Round your answer to the nearest cent.) $   (c) Form the profit function P(x) from the cost and revenue functions. P(x) =          Find maximum profit. $   (d) What price will maximize the profit? (Round your answer to the nearest cent.) $

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 $41,600 and variable cost per unit of 


2/5x+ 444 dollars,

 where x is the total number of units produced. Suppose further that the selling price of its product is 

1776 − 3/5x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
x = 
 
 
 
 


(b) Find the maximum revenue. (Round your answer to the nearest cent.)
$  

(c) Form the profit function P(x) from the cost and revenue functions.
P(x) = 
 
 
 
 


Find maximum profit.
$  

(d) What price will maximize the profit? (Round your answer to the nearest cent.)
$  
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