Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.8 Linear Programming - 10.8 Assess Your Understanding - Page 810: 6

Answer

maximum $56$, minimum $3$.

Work Step by Step

For $z=10x+y$, we have the corner point values (starting from the y-axis, clockwise) as $z=3,6,56,52,40$. Thus the maximum is at $(5,6)$ with $z=56$, and the minimum is at $(0,3)$ with $z=3$.
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