Question: 2. (20 points) Consider the following linear programming problem: [ operatorname{Max} Z=5 x+2 y ] Subject to [ begin{array}{c} x+y leq 8 x+y geq

2. (20 points) Consider the following linear programming problem: \[ \operatorname{Max} Z=5 x+2 y \] Subject to \[ \begin{array}{c} x+y \leq 8 \\ x+y \geq 4 \\ x+2 y \leq 12 \\ x \geq 2 \\ y \geq 0 \e

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