Solved: At what price does the rate of consumer expenditure begin, Mathematics

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At what price does the rate of consumer expenditure begin

The demand for a certain commodity is D(x) = 4000e-.09x 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?

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