9. MAXIMIZING REVENUE It is determined that q units of a commodity can be sold when the price is p hundred dollars per unit, where q(p) = 1,000(p + 2)e¯P a. Verify that the demand function g(p) decreases as p increases for p > 0. b. For what price p is revenue R = pq maximized? CS'Scannecw RCanscanner What is the maximum revenue?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9. MAXIMIZING REVENUE It is determined that
q units of a commodity can be sold when the
price is p hundred dollars per unit, where
q(p) = 1,000(p + 2)e¬"
a. Verify that the demand function q(p) decreases
as p increases for p > 0.
b. For what
p is revenue R = pq maximized?
Cs'Scannedwi Reamscanner
What is the maximum revenue?
Transcribed Image Text:9. MAXIMIZING REVENUE It is determined that q units of a commodity can be sold when the price is p hundred dollars per unit, where q(p) = 1,000(p + 2)e¬" a. Verify that the demand function q(p) decreases as p increases for p > 0. b. For what p is revenue R = pq maximized? Cs'Scannedwi Reamscanner What is the maximum revenue?
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