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An automobile company is ready to introduce a new line of cars through a national sales campaign. After t the line in a carefully selected city, the marketing research department estimates that the sales (in millions increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 18-13 e - 0.1t 0st≤21 ...

An automobile company is ready to introduce a new line of cars through a national sales campaign. After t the line in a carefully selected city, the marketing research department estimates that the sales (in millions increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 18-13 e - 0.1t 0st≤21 ...

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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.
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) = 18-13 e - 0.1t S(t)= 18t+ 130 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≤21 -0.1t - 130 (B) What are the estimated total sales for the first 8 months of the campaign? 72 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $100 million? Use a graphing calculator to approximate the solution to the equation S(t) = 100. t≈ (Round to two decimal places as needed.)
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) = 18-13 e - 0.1t S(t)= 18t+ 130 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≤21 -0.1t - 130 (B) What are the estimated total sales for the first 8 months of the campaign? 72 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $100 million? Use a graphing calculator to approximate the solution to the equation S(t) = 100. t≈ (Round to two decimal places as needed.)
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