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30. Consider the following LP problem: 8 [ begin{array}{l} 5 X_{1}+3 X_{2}+4 X_{3} X_{1}+X_{2}+2 X_{3} geq 2 5 X_{1}+3 X_{2}+2 X_{3} geq 1
30. Consider the following LP problem: 8 \[ \begin{array}{l} 5 X_{1}+3 X_{2}+4 X_{3} \\ X_{1}+X_{2}+2 X_{3} \geq 2 \\ 5 X_{1}+3 X_{2}+2 X_{3} \geq 1 \\ x_{1}, x_{2}, x_{3} \geq 0 \\ \end{array} \] MIN
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