demand for a certain commodity is D(x)  =  6000e−.01x 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 $130 dollars? (b) At what price does consumer expenditure stop increasing and begin to decrease? (c) At what price does the rate of consumer expenditure beg

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The demand for a certain commodity is

D(x)  =  6000e−.01x

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 $130 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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