The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by

Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where

a. What will be the capital expenditure 3 months from now? How many units will be produced at this time?

b. At what rate will production be changing with respect to time 5 months from now? Will production be increasing or decreasing at this time?

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Q(K) = 500K2/3