a. What is S (t), if we assume no sales at the beginning of the campaign? b. What are the estimated total sales for the fırst 12 months of the campaign?

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 of
dollars) will increase at the monthly rate of
the following function for t months after
the campaign has started:
S' (t) = 23 – 14e-0.1t for 0 <t < 26.
a. What is S (t), if we assume no sales at
the beginning of the campaign?
b. What are the estimated total sales for the
fırst 12 months of the campaign?
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) = 23 – 14e-0.1t for 0 <t < 26. a. What is S (t), if we assume no sales at the beginning of the campaign? b. What are the estimated total sales for the fırst 12 months of the campaign?
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