K 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)=16-14e 0.1t Osts23 (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)= 16t+140e 0.11 - 140 (B) What are the estimated total sales for the first 11 months of the campaign? 83 million. (Round to the nearest whole number.) (C) When will the estimated total sales reach $110 million? Use a graphing calculator to approximate the solution to the equation S(t)=110. (Round to two decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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) = 16-14e-0.1t
Osts23
(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?
-0.11-140
S(t)= 16t+140e
(B) What are the estimated total sales for the first 11 months of the campaign?
83 million.
(Round to the nearest whole number.)
(C) When will the estimated total sales reach $110 million? Use a graphing calculator to approximate the solution to the
equation S(t) = 110..
(Round to two decimal places as needed.)
Transcribed Image Text:K 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) = 16-14e-0.1t Osts23 (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? -0.11-140 S(t)= 16t+140e (B) What are the estimated total sales for the first 11 months of the campaign? 83 million. (Round to the nearest whole number.) (C) When will the estimated total sales reach $110 million? Use a graphing calculator to approximate the solution to the equation S(t) = 110.. (Round to two decimal places as needed.)
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