We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the follówing price-demand and revenue functions: P(x) = 115 - 4x Price-demand function R(x) = xp(x) = x(115 - 4x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1sxs23. ... 0- -200 800 -400- 600- -600- 400- -800- 200- 0+ 0 5 10 15 20 -20 -15 -10 -5 0 (B) Find the output that will produce the maximum revenue. 115 million chips (Type an integer or a fraction. Simplify your answer.) 8 What is the maximum revenue? $ 826.56 million (Round to two decimal places.) (C) What is the wholesale price per chip that produces the maximum revenue? (Round to the nearest dollar.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following
price-demand and revenue functions:
p(x) = 115 - 4x
Price-demand function
R(x) = xp(x) = x(115 – 4x)
Revenue function
where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 13xs23.
0-
800-
800
-200-
600-
-400-
400-
-600
200-
200
-800-
5 10 15 20
-20 -15 -10 -5 0
(B) Find the output that will produce the maximum revenue.
115
million chips (Type an integer or a fraction. Simplify your answer.)
What is the maximum revenue?
$ 826.56 million (Round to two decimal places.)
(C) What is the wholesale price per chip that produces the maximum revenue?
(Round to the nearest dollar.)
Transcribed Image Text:We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: p(x) = 115 - 4x Price-demand function R(x) = xp(x) = x(115 – 4x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 13xs23. 0- 800- 800 -200- 600- -400- 400- -600 200- 200 -800- 5 10 15 20 -20 -15 -10 -5 0 (B) Find the output that will produce the maximum revenue. 115 million chips (Type an integer or a fraction. Simplify your answer.) What is the maximum revenue? $ 826.56 million (Round to two decimal places.) (C) What is the wholesale price per chip that produces the maximum revenue? (Round to the nearest dollar.)
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