Suppose a company has fixed costs of $30,000 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 5. dollars per unit. 1474 - (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 30,1000 (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) = -x + 1030x – 30000

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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5.
4
Suppose a company has fixed costs of $30,000 and variable cost per unit of x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is
9.
-x dollars per unit.
6.
1474
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
x = 30,1000
(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) =
-x + 1030x – 30000
Find maximum profit.
$ 235225
(d) What price will maximize the profit? (Round your answer to the nearest cent.)
2$
Need Help?
Read It
Transcribed Image Text:5. 4 Suppose a company has fixed costs of $30,000 and variable cost per unit of x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 9. -x dollars per unit. 6. 1474 (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 30,1000 (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) = -x + 1030x – 30000 Find maximum profit. $ 235225 (d) What price will maximize the profit? (Round your answer to the nearest cent.) 2$ Need Help? Read It
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