Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 7 - Applications of Integration - 7.1 Exercises - Page 444: 75

Answer

$R_{1}$ projects greater revenue; $R_{1}$ projects 11.375 billion dollars more than $R_{2}$

Work Step by Step

We can start off by integrating the functions to get area under the curve and projected revenue The time interval is between 2015 and 2020 with 2015 corresponding to t=15 So the bounds of our integral are lower limit: 15 upper limit: 20 $R_{1}$: $\int_{15}^{20}$(7.21+0.58t)dt = 86.8 billion dollars $R_{2}$: $\int_{15}^{20}$(7.21+0.45t)dt = 75.425 billion dollars $R_{1}$ has greater area under the curve and therefore projects greater revenue $86.8-75.425=11.375$
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