Suppose a company has fixed costs of $54,400 and variable cost per unit of x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1967 - x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 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.) $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose a company has fixed costs of $54,400 and variable cost per unit of x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is
5
1967-³x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
X =
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.)
$
Transcribed Image Text:Suppose a company has fixed costs of $54,400 and variable cost per unit of x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 5 1967-³x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) X = 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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