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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