College Algebra (6th Edition)

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

Chapter 3 - Summary, Review, and Test - Test - Page 439: 5

Answer

$49$

Work Step by Step

Let one of the numbers be $x$, then the other one is $14-x$, then their product is $x(14-x)=-x^2+14x$ The maximum value is at $x=-\frac{b}{2a}=-\frac{14}{2\cdot(-1)}=7.$ Hence the maximum value is $f(7)=-(7)^2+14(7)=49.$
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