Question: 4. Solve the following linear program using first the Big-M method and then the two-phase simplex method. [ begin{array}{ll} max & 2 x_{1}+5 x_{2}+3 x_{3}

4. Solve the following linear program using first the Big-M method and then the two-phase simplex method. \\[ \\begin{array}{ll} \\max & 2 x_{1}+5 x_{2}+3 x_{3} \\\\ \\text { st } & x_{1}-2 x_{2}+x_{3} \\geq 20 \\\\ & x_{1}+4 x_{2}+x_{3}=20 \\\\ & x_{1} \\geq 0, x_{2} \\geq 0, x_{3} \\geq 0 \\end{array} \\]

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