Question

The demand for a certain commodity is D(x)  =  8000e−.08x units per month when the market...

The demand for a certain commodity is

D(x)  =  8000e−.08x

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 $180 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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