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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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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