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---- An automobile company is ready to introduce a new line of cars through a na

ID: 3346377 • Letter: #

Question

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An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 18-19e-0.1t 0 t 30 What will be the total sales, S(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the campaign? s(t) = (Simplify your answer.) What are the estimated total sales for the first 9 months of the campaign? million (Round to the nearest whole number.) When will the estimated total sales reach SI20 million? Use a graphing calculator to approximate the solution to the equation S(t) = 120. (Round to two decimal places as needed.)

Explanation / Answer

S(t) = 18t + 190e^(0.1t) B) S = 18 * 9 + 190 *e^0.1*9 = 629.324