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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 + 0.2t + 6t

 

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t + 0.2t + 6t + 9. (A) Find S'(t). (B) Find S(2) and S'(2) (to two decimal places). (C) Interpret S(8) = 90.28 and S'(8) = 16.88. (A) S'(t) = (B) S(2)= S'(2)= (C) Choose the correct interpretation of S(8) = 90.28. A. The total sales 8 months from now will be $90.28 million dollars. B. In approximately 90 months the sales will be $8 million dollars. C. In approximately 90 months the sales will be increasing by $8 million per month. D. In 8 months the sales will be increasing at a rate of $90.28 million per month.

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