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...
icon
Related questions
Question

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.)
$ ?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning