The demand for a certain commodity is D(x) = 7000e-.01r units per month when the market price is x dollars per unit. (a) At what rate is the consumer expenditure E(x) = xD(x) changing with respect to price x when the price is equal to $120 dollars? (b) At what price does consumer expenditure stop increasing and begin to decrease? (c) At what price does the rate of consumer expenditure begin to increase?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The demand for a certain commodity is
D(x)
= 7000e-.01r
units per month when the market price is x dollars per unit.
(a) At what rate is the consumer expenditure E(x) = xD(x) changing with respect to price x when the
price is equal to $120 dollars?
(b) At what price does consumer expenditure stop increasing and begin to decrease?
(c) At what price does the rate of consumer expenditure begin to increase?
Transcribed Image Text:The demand for a certain commodity is D(x) = 7000e-.01r units per month when the market price is x dollars per unit. (a) At what rate is the consumer expenditure E(x) = xD(x) changing with respect to price x when the price is equal to $120 dollars? (b) At what price does consumer expenditure stop increasing and begin to decrease? (c) At what price does the rate of consumer expenditure begin to increase?
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