Solve the LP problem: [ begin{aligned} & text { minimize: } g=x_{1}+x_{2} & 2 x_{1}+3 x_{2}

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Solve the LP problem:

\[ \begin{aligned} & \text { minimize: } g=x_{1}+x_{2} \\ & 2 x_{1}+3 x_{2} \geq 6 \\ & \text { subject to: } \\ & 4 x_{1}+3 x_{2} \geq 12 \\ & 6 x_{1}+x_{2} \geq 6 \\ & x_{1}, \quad x_{2} \geq 0 \end{aligned} \]

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