Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.6 - Linear Programming - Exercise Set - Page 871: 1


$z(1,2) =17$, $z(2,10) =70$, $z(7,5) =65$, $z(8,3) =58$. maximum $z(2,10)=70$ minimum $z(1,2)=17$

Work Step by Step

Step 1. Given the objective function $z(x,y)=5x+6y$, we can obtain the function values at each corner as $z(1,2)=5(1)+6(2)=17$, $z(2,10)=5(2)+6(10)=70$, $z(7,5)=5(7)+6(5)=65$, $z(8,3)=5(8)+6(3)=58$. Step 2. We can find the maximum of $z$ as $z(2,10)=70$, Step 3. We can find the minimum of $z$ as $z(1,2)=17$,
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