Answer
$x = \sqrt {185}$, $y= \sqrt {185}$
Work Step by Step
We minimize $S = x+y$
$xy = 185$ or $y=185/x$
$S = x + 185/x$
$S' = 0 = 1- 185/x^2$ or $x = \sqrt {185}$
Plugging that back in,
$y = \sqrt {185}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 3 - Applications of Differentiation - 3.7 Exercises - Page 220: 4
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