The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 K^2/3.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 K(t) = 2t4 + 3t + 149/ t + 2 (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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 K^2/3.
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

K(t) = 2t4 + 3t + 149/ t + 2

(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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