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) = 21-20 e - 0.1t S(t) = 21t+200 e (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≤t≤26 -0.1t - 200 (B) What are the estimated total sales for the first 8 months of the campaign? 58 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the equation S(t) = 90. 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) = 21-20 e - 0.1t S(t) = 21t+200 e (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≤t≤26 -0.1t - 200 (B) What are the estimated total sales for the first 8 months of the campaign? 58 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the equation S(t) = 90. t≈ (Round to two decimal places as needed.)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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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 ofdollars) will increase at the monthly rate of the following function for t months after the campaign has started.
Transcribed Image Text: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) = 21 - 20 e
- 0.1t
S(t) = 21t+200 e
0≤t≤26
(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?
- 0.1t - 200
(B) What are the estimated total sales for the first 8 months of the campaign?
58 million
(Round to the nearest whole number.)
(C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the
equation S(t) = 90.
t≈
(Round to two decimal places as needed.)
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