The consumer demand for a certain commodity is $D ( p ) = 1,000.00 e ^ { - 0.19 p }$ units per month when the market price is p dollars per unit. Express consumers' total monthly expenditure for the commodity as a function of p and determine the market price that will result in the greatest consumer expenditure.

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The Answer of The consumer demand for a certain commodity is $D ( p ) = 1,000.00 e ^ { - 0.19 p }$ units per month when the market price is p dollars per unit. Express consumers' total monthly expenditure for the commodity as a function of p and determine the market price that will result in the greatest consumer expenditure.

The Consumer Demand for a Certain Commodity Is D(p)=1,000.00e−0.19pD ( p ) = 1,000.00 e ^ { - 0.19 p }D(p)=1,000.00e−0.19p

The Consumer Demand for a Certain Commodity Is $D ( p ) = 1,000.00 e ^ { - 0.19 p }$