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

Short Answer

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