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Mathematics-functions and graphs

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Reference no: EM13130937

The demand for a certain commodity is given by

D(x) = -50x + 800; that is, x units of the commodity will be demanded by consumers when the price is p = D(x) dollars per unit. Total consumer expenditure E(x) is the amount of money consumers pay to buy x units of the commodity.

a) Express consumer expenditure as a function of x, and sketch the graph E(x).

b) Use the graph in part (a) to determine the level of production x at which consumer expenditure is largest. What price p correspnds to maximum consumer expenditure?

Reference no: EM13130937

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