Revenue. The marketing research department for a company that manufactures and sells notebook computers established the following price-demand and revenue functions: p(x) R(x) = xp(x) = 2,000 - 60x = x(2,000 - 60x) Price-demand function Revenue function where p(x) is the wholesale price in dollars at which x thousand computers can be sold, and R(x) is in thousands of dollars. Both functions have domain 1 ≤ x ≤ 25. (A) Sketch a graph of the revenue function in a rectangular coordinate system. (B) Find the value of x that will produce the maximum revenue. What is the maximum revenue to the nearest thousand dollars? (C) What is the wholesale price per computer (to the nearest dollar) that produces the maximum revenue?

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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70. Revenue. The marketing research department for a company
that manufactures and sells notebook computers established
the following price-demand and revenue functions:
p(x) = 2,000 60x
R(x) = xp(x)
= x(2,000 - 60x)
Price-demand function
Revenue function
where p(x) is the wholesale price in dollars at which x
thousand computers can be sold, and R(x) is in thousands of
dollars. Both functions have domain 1 ≤ x ≤ 25.
(A) Sketch a graph of the revenue function in a rectangular
coordinate system.
(B) Find the value of x that will produce the maximum
revenue. What is the maximum revenue to the nearest
thousand dollars?
(C) What is the wholesale price per computer (to the nearest
dollar) that produces the maximum revenue?
Transcribed Image Text:70. Revenue. The marketing research department for a company that manufactures and sells notebook computers established the following price-demand and revenue functions: p(x) = 2,000 60x R(x) = xp(x) = x(2,000 - 60x) Price-demand function Revenue function where p(x) is the wholesale price in dollars at which x thousand computers can be sold, and R(x) is in thousands of dollars. Both functions have domain 1 ≤ x ≤ 25. (A) Sketch a graph of the revenue function in a rectangular coordinate system. (B) Find the value of x that will produce the maximum revenue. What is the maximum revenue to the nearest thousand dollars? (C) What is the wholesale price per computer (to the nearest dollar) that produces the maximum revenue?
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