Suppose that a company's daily sales volume attributed to an advertising campaign is given by the following equation. 6. 30 S(t) + 4 t + 1 (t + 1)2 (a) Find how long it will be before sales volume is maximized. t = days (b) Find how long it will be before the rate of change of sales volume is minimized. That is, find the point of diminishing returns. t = days

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Suppose that a company's daily sales volume attributed to an advertising campaign is given by the following equation.
30
S(t)
+ 4
t + 1
(t + 1)2
(a) Find how long it will be before sales volume is maximized.
t =
days
(b) Find how long it will be before the rate of change of sales volume is minimized. That is, find the point of diminishing returns.
t =
days
Transcribed Image Text:Suppose that a company's daily sales volume attributed to an advertising campaign is given by the following equation. 30 S(t) + 4 t + 1 (t + 1)2 (a) Find how long it will be before sales volume is maximized. t = days (b) Find how long it will be before the rate of change of sales volume is minimized. That is, find the point of diminishing returns. t = days
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