Suppose a company has fixed costs of $36,400 and variable cost per unit of 3x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1772 - 2x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
* = 2651,7
х
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
$ 1.177,494
(c) Form the profit function P(x) from the cost and revenue functions.
2 2
5315
P(X) - +
31
Ex-36844 x
3
2
Find maximum profit.
$1329
X
(d) What price will maximize the profit? (Round your answer to the nearest cent.)
$ 1,140,207
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