Suppose a company has fixed costs of $53,200 and variable cost per unit of 1 3 x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2372 − 2 3 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. $

Intermediate Algebra
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Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
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Suppose a company has fixed costs of $53,200 and variable cost per unit of

1
3
x + 444 dollars,

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

2372 − 
2
3
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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