John M. answered • 03/10/21

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The total sales of a company (in millions of dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7.

(A) Find S′(t).

S'(t) = 0.12t^{2} + 1,6t + 8

(B) Find S(6) and S′(6) (to two decimal places).

S(6) = $ 92.44 million

S'(6) = $21.92 per month slope or rate of increase

(C) Interpret S(11)=245.04 and S′(11)=40.12.

When the monthly Sales = $245.04, the monthly rate of change is increasing 40.12 million dollars per month