Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Section 4.7 - Optimization Problems - 4.7 Exercises: 2

Answer

The two numbers are -50 and 50.

Work Step by Step

Let the two numbers be $x$ and $x+100$. We want to minimize their product, the function: $f(x)=x(x+100)=x^{2}+100x$. $f'(x)=2x+100$, so our critical value is at $x=-50$. Therefore our two values are -50 and 50 ($x$ and $x+100$).
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