5 Show that the following LP is unbounded:$$\begin{array}{lr}\max z=x_{1}+2 x_{2} \\\text { s.t. } \quad-x_{1}+x_{2} \leq 2 \\-2 x_{1}+x_{2} \leq 1 \\x_{1}, x_{2} \geq 0\end{array}$$SP.JG. 143

A linear program is unbounded if it is feasible but its objective function can be made arbitrarily…

Answered: $$ \begin{array}{lr} \max z=x_{1}+2…

$$ \begin{array}{lr} \max z=x_{1}+2 x_{2} \\ \text_{ s.t. } \quad-x_{1}+x_{2} \leq 2 \\ -2 x_{1}+x_{2} \leq 1 \\ x_{1}, x_{2} \geq 0 Tend{array}

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

5 Show that the following LP is unbounded:
$$
\begin{array}{lr}
\max z=x_{1}+2 x_{2} \\
\text { s.t. } \quad-x_{1}+x_{2} \leq 2 \\
-2 x_{1}+x_{2} \leq 1 \\
x_{1}, x_{2} \geq 0
\end{array}
$$
SP.JG. 143

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