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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
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 - 15e-0.1t Osts 23 (A) 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) = 18t+ 150e-0.1t - 150 (B) What are the estimated total sales for the first 8 months of the campaign? 61 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $120 million? Use a graphing calculator to approximate the solution to the equation S(t) = 120. (Round to two decimal places as needed.)
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