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1. Use the simplex method in tabular form to solve the problem: subject to 3 x_{2}+x_{3} \leq 120 \text { Maximize } Z=-x_{1}+2 x_{2}+x_{3} x_{1}-x_{2}-4 x_{3} \leq 80 -3 x_{1}+x_{2}+2
x_{3} \leq 100 x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0 and
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