Question

Suppose a company has fixed costs of $48,000 and variable cost per unit of 2/5x +...

Suppose a company has fixed costs of $48,000 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

2468 −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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