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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
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Please help with #70
etween tire
ail market
y as a per-
of f(x) to
NOV
18
(A) Sketch a graph of the revenue function in a rectangular
coordinate system.
(B) Find the value of x that will produce the maximum rev-
enue. What is the maximum revenue?
(C) What is the wholesale price per chip that produces the
maximum revenue?
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?
71. Break-even analysis. Use the revenue function from Prob-
tv
@
ST
66
Transcribed Image Text:etween tire ail market y as a per- of f(x) to NOV 18 (A) Sketch a graph of the revenue function in a rectangular coordinate system. (B) Find the value of x that will produce the maximum rev- enue. What is the maximum revenue? (C) What is the wholesale price per chip that produces the maximum revenue? 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? 71. Break-even analysis. Use the revenue function from Prob- tv @ ST 66
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