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 =

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...
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Suppose a company has fixed costs of $41,600 and variable cost per unit of 

2
5
x + 444 dollars,

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

1776 − 
3
5
x 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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