(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? x+ 2 (i) Find the rate of change of the function f(x) : (ii) The number of units Q of a particular commodity that will be produced with K with respect to x when x = 1. 1- 8x thousand dollars of capital expenditure is modeled by Q(K) = 500 K3. 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 2t* + 3t + 149 K(t) = t+2

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A: formula for compound continuously is P=P0ert where P is final amount P0  is initial amount r is rate…