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5. Consider the following problem. \text { Maximize } Z=5 x_{1}+x_{2}+3 x_{3}+4 x_{4} subject to x_{1}-2 x_{2}+4 x_{3}+3 x_{4} \leq 20 -4 x_{1}+6 x_{2}+5 x_{3}+-4 x_{4} \leq 40 2 x_{1}-3 x_{2}+3 x_{3}+8 x_{4} \leq 50 and x_{1} \geq 0, \quad x_{2} \geq 0, \quad x_{3} \geq 0, \quad x_{4} \geq 0 Work through the the simplex method step by step to demonstrate that Z is unbounded

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