A company that sells memory chips for computers established the price-demand and cost functions as: p(x) = 75 - 5x price-demand function C(x) = 130 + 16x cost function where p(x) is the wholesale price in dollars for x thousands of chips that can be sold. Both functions have the domain 1 ≤ x ≤ 25. a. Establish the revenue function R(x) and sketch it. b. Find the output that will produce the maximum revenue. c. Find the break-even points. d. Which output will result in a loss for the company?

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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7. A company that sells memory chips for computers established the price-demand and cost functions
as:
p(x) = 75 - 5x
price-demand function
C(x) = 130 + 16x cost function
where p(x) is the wholesale price in dollars for x thousands of chips that can be sold. Both functions
have the domain 1 ≤ x ≤ 25.
a. Establish the revenue function R(x) and sketch it.
b.
Find the output that will produce the maximum revenue.
c. Find the break-even points.
d. Which output will result in a loss for the company?
Transcribed Image Text:7. A company that sells memory chips for computers established the price-demand and cost functions as: p(x) = 75 - 5x price-demand function C(x) = 130 + 16x cost function where p(x) is the wholesale price in dollars for x thousands of chips that can be sold. Both functions have the domain 1 ≤ x ≤ 25. a. Establish the revenue function R(x) and sketch it. b. Find the output that will produce the maximum revenue. c. Find the break-even points. d. Which output will result in a loss for the company?
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