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.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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