College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Mid-Chapter Check Point - Page 390: 20


See below.

Work Step by Step

The maximum value is at $x=-\frac{b}{2a}=-\frac{150}{2\cdot(-1)}=75.$ Hence the maximum value is $f(75)=-(75)^2+150(75)-4425=1200.$
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