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When Toasters Are Sold for P Dollars Apiece, Local Consumers D(p)=57,600pD ( p ) = \frac { 57,600 } { p }

Question 95

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When toasters are sold for p dollars apiece, local consumers will buy D(p)=57,600pD ( p ) = \frac { 57,600 } { p } toasters a month. It is estimated that t months from now, the price of the toasters will be p(t)=0.03t3/2+22.08p ( t ) = 0.03 t ^ { 3 / 2 } + 22.08 dollars. Compute the rate at which the monthly demand for the toasters will be changing with respect to time 16 months from now.

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Decreasing...

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