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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 9.7, Problem 42E
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Advertising and sales Suppose that sales (in thousands of dollars) are directly related to an advertising campaign according to

S = 1 + 3 t − 9 ( t + 3 ) 2 where t is the number of weeks of the campaign.

(a) Find the rate of change of sales after 3 weeks.

(b) Interpret the result in part (a).

(a)

To determine

To calculate: The rate of change of sales after 3 weeks for sale function S=1+3t−9(t+3)2, where t is the number of weeks.

Explanation

Given Information:

The sales are given as,

S=1+3t−9(t+3)2

where t is the number of weeks.

Formula used:

The rate of change of a function is given by its derivative. If a function is such that it is the ratio of two differentiable functions, then its derivative is calculated by the formula,

ddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)(g(x))2

Calculation:

Consider the provided statement,

The sales are given as,

S=1+3t−9(t+3)2

where t is the number of weeks

(b)

To determine

The impact of the value of rate of change of sales after 3 weeks if the sales are given as,

S=1+3t−9(t+3)2

Where, t is the number of weeks.

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Chapter 9.7,
Problem 41E
Chapter 9.7,
Problem 43E
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