Suppose a company has fixed costs of $2400 and variable costs per unit of
3/4x + 1690 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is
1800 − 1/4x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
x =
(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.)
$