Question: 1 [30pts]: Consider the following Linear Programming Problem: [ begin{array}{l} text { Max } z=4 x_{1}-4 x_{2}-x_{3} text { Subject to: } x_{1}+x_{2}+x_{3}

$1 [30pts]: Consider the following Linear Programming Problem: \[ \begin{array}{l} \text$

1 [30pts]: Consider the following Linear Programming Problem: \[ \begin{array}{l} \text { Max } z=4 x_{1}-4 x_{2}-x_{3} \\ \text { Subject to: } \\ x_{1}+x_{2}+x_{3} \leq 2 \\ 2 x_{1}+x_{2} \ ${ Max } z=4 x_{1}-4 x_{2}-x_{3} \\ \text { Subject to: }$

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