A company has a badly designed product, but a huge advertising budget. The product sells well at when it is first introduced, but sales fall as people switch to a better product from a competitor. Given that the monthly sales S are 210t (t + 5)²' where S is in thousands of dollars and t is in months. After how many months will sales be maximized? S = t>0 Sales he maximized in months

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A company has a badly designed product, but a huge advertising budget. The product sells well at when it is
first introduced, but sales fall as people switch to a better product from a competitor. Given that the monthly
sales S are
210t
(t + 5)² '
where S is in thousands of dollars and t is in months. After how many months will sales be maximized?
S
t> 0
Sales be maximized in
months.
Transcribed Image Text:A company has a badly designed product, but a huge advertising budget. The product sells well at when it is first introduced, but sales fall as people switch to a better product from a competitor. Given that the monthly sales S are 210t (t + 5)² ' where S is in thousands of dollars and t is in months. After how many months will sales be maximized? S t> 0 Sales be maximized in months.
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