Suppose a company has fixed costs of $56,000 and variable cost per unit of 4/9 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2250 − 5/9x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) 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.)
Suppose a company has fixed costs of $56,000 and variable cost per unit of 4/9 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2250 − 5/9x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) 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.)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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Suppose a company has fixed costs of $56,000 and variable cost per unit of 4/9 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2250 − 5/9x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
(c) Form the profit function P(x) from the cost and revenue functions.
(d) What price will maximize the profit? (Round your answer to the nearest cent.)
$ ?
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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