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7. Consider the following LP: [ begin{aligned} max quad z=x_{1}+3 x_{2} text { s.t. } quad x_{1}+x_{2} leq 2 -x_{1}+2 x_{2} leq 4
7. Consider the following LP: \[ \begin{aligned} \max \quad z=x_{1}+3 x_{2} \\ \text { s.t. } \quad x_{1}+x_{2} \leq 2 \\ -x_{1}+2 x_{2} \leq 4 \\ x_{1} \quad \text { unrestricted } \\ x_{2} \geq 0 \e
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