Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1500x dollars per unit. a. Find the break-even points. b. Find the maximum revenue. c. Form the profit function from the cost and revenue functions and find maximum profit. d. What price will maximize the profit?

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
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please answer part D and show the work so that i can compare it to my own notes

Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x
is the total number of units produced. Suppose further that the selling price of its product is
1500x dollars per unit.
a. Find the break-even points.
b. Find the maximum revenue.
c. Form the profit function from the cost and revenue functions and find maximum profit.
d. What price will maximize the profit?
Transcribed Image Text:Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1500x dollars per unit. a. Find the break-even points. b. Find the maximum revenue. c. Form the profit function from the cost and revenue functions and find maximum profit. d. What price will maximize the profit?
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