   Chapter 5, Problem 99RE ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Revenue For the years 2020 through 2025, two models, R 1  and  R 2 , used to project the revenue (in millions of dollars) for a company are R 1 = 24.3   +   8.24 t and R 2 = 21.6   +   9.36 t where t = 20 corresponds to 2020. Which model projects the greater revenue? How much more total revenue does that model project over the six-year period?

To determine

To calculate: The model that makes more revenue and also find how much more revenue does that model project over 6 years of period if two models are R1=24.3+8.24t and R2=21.6+9.36t.

Explanation

Given information:

The revenue models are R1=24.3+8.24t and R2=21.6+9.36t. The years are 2020 through 2025.

Formula used:

The fundamental theorem of integration,

abf(x)dx=[F(x)]ab                =F(b)F(a)

The power rule of integration,

xndx=xn+1n+1+c

Where, n1.

Consider the models R1,

R1=24.3+8.24t.

The revenue over the six year from 2020 to 2025 by the model R1 is,

2025(24.3+8.24t)dt

Integrate the above model as shown below,

2025(24.3+8.24t)dt=[24.3t+8.242t2]2025=24

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