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Suppose a company has fixed costs of $700 and variable costs per unit of 7 8...

Suppose a company has fixed costs of $700 and variable costs per unit of

7
8

x + 1120 dollars,

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

1200 −

1
8

x dollars per unit.

(a) Find the break-even points. (Enter your answers as a comma-separated list.)
x =

10, 70



(b) Find the maximum revenue.
$

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



Find the maximum profit.
$

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

Math   Calculus   
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