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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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