## Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

# Chapter 14 - Section 14.8 - Lagrange Multipliers - 14.8 Exercise - Page 977: 1

#### Answer

Maximum value: $\approx 59$ and Minimum value: $30$.

#### Work Step by Step

We are given a contour map of $f$ and a curve with equation $g(x,y)=8$. We need to find the maximum and minimum values of $f$ subject to $g(x,y)=8$. Since the constraint $g(x,y)=8$ comes under $60$ and $30$, the maximum value is: $\approx 59$ and minimum value is: $30$.

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