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30. Consider the following LP problem: MIN: Subject to: [ begin{aligned} 5 X_{1}+3 X_{2}+4 X_{3} & X_{1}+X_{2}+2 X_{3} & geq 2 5 X_{1}+3
30. Consider the following LP problem: MIN: Subject to: \[ \begin{aligned} 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
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