Suppose a company has fixed costs of $37,400 and variable cost per unit of x + 444 dollars, where x is the total numb of units produced. Suppose further that the selling price of its product is 1578 -x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 341,100 (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ 1120537.80 (c) Form the profit function P(x) from the cost and revenue functions. P(x) = -x + 1622x + 37400 X Find maximum profit. $ 695121 (d) What price will maximize the profit? (Round your answer to the nearest cent.) $ 811

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4
Suppose a company has fixed costs of $37,400 and variable cost per unit of
+ 444 dollars, where x is the total number
of units produced. Suppose further that the selling price of its product is 1578
5
- -x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
x = 341,100
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
$ 1120537.80
(c) Form the profit function P(x) from the cost and revenue functions.
P(x) = -x + 1622x + 37400 x
Find maximum profit.
$ 695121
(d) What price will maximize the profit? (Round your answer to the nearest cent.)
$ 811
Transcribed Image Text:4 Suppose a company has fixed costs of $37,400 and variable cost per unit of + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1578 5 - -x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 341,100 (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ 1120537.80 (c) Form the profit function P(x) from the cost and revenue functions. P(x) = -x + 1622x + 37400 x Find maximum profit. $ 695121 (d) What price will maximize the profit? (Round your answer to the nearest cent.) $ 811
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