University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.1 - Functions and Their Graphs - Exercises - Page 13: 70

Answer

$R=(300-25x)(40+5x)$ $\:\:\:\mathrm{or}\:\:\:$ $R=-125x^2+500x+12000$

Work Step by Step

$\mathrm{Revenue\:function:}\:\:\:R=(300)(40)$ If we increase the price of the book by $\:\$5\:,\:25\:$ fewer books will be sold. If we increase the price by "$x\:$ times $\:\$5\:$", then $\:25x\:$ fewer books will be sold. So, the new price of the book would be $\:40+5x\:$ and the new number of books sold would be $\:300-25x.$ The new revenue function would be: $R=(300-25x)(40+5x)$
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