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)=18-13e^-0.1t. 0<=t<=20 (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)= (B) What are the estimated total sales for the first 8 months of the campaign? (. )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 t~~. (Round to two decimal places as needed)
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)=18-13e^-0.1t. 0<=t<=20
(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)=
(B) What are the estimated total sales for the first 8 months of the campaign?
(. )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
t~~. (Round to two decimal places as needed)
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