The number of units Q of a particular commodity that will be produced with K thousands dollars of capital expenditure is modeled bey Q(K)=500K2/3. Suppose that capital expenditure varies with time in such a w ay that t months from now there will be K(t) thousand dollars of capital exenditure where k(t)=2t4+3t+149/t+2 What will be the Capitol expenditure 3months from now? How many units will be produced at this time? At what rate would production be changing with respect to time 5 months from now? will production be increasing or decreasing at this time?

Question

The number of units Q of a particular commodity that will be produced with K thousands dollars of capital expenditure is modeled bey Q(K)=500K2/3. Suppose that capital expenditure varies with time in such a w ay that t months from now there will be K(t) thousand dollars of capital exenditure where

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

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

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

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