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
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
Problem 1RQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87020c12-9fad-41df-8977-4681e6b0c96c%2F35f0deb0-366c-4b60-8c90-739259f5c593%2Fnoht96s_processed.jpeg&w=3840&q=75)
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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