19. The marginal revenue from a particular product is given below. Assume that R = 0 when x = 0. dR dr= 420 - 7x a) Find the revenue function, R(x). b) Find the demand function (price function), p(x). c) Determine the number of items that must be sold to maximize the revenue. d) What is the price when the revenue is a maximum? e) What is the marginal revenue when the revenue is a maximum?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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19. The marginal revenue from a particular product is given below. Assume that
R = 0 when x = 0.
dR
= 420 – 7x
dx
a) Find the revenue function, R(x).
b) Find the demand function (price function), p(x).
c) Determine the number of items that must be sold to maximize the
revenue.
d) What is the price when the revenue is a maximum?
e) What is the marginal revenue when the revenue is a maximum?
Transcribed Image Text:19. The marginal revenue from a particular product is given below. Assume that R = 0 when x = 0. dR = 420 – 7x dx a) Find the revenue function, R(x). b) Find the demand function (price function), p(x). c) Determine the number of items that must be sold to maximize the revenue. d) What is the price when the revenue is a maximum? e) What is the marginal revenue when the revenue is a maximum?
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