Question: Consider the following LP problem

\(\begin{aligned} & Maximize:z=2{{x}_{1}}+3{{x}_{2}}+4{{x}_{3}} \\ & subject\,\,to:{{x}_{1}}+{{x}_{2}}+{{x}_{3}}\ge 100 \\ & 2{{x}_{1}}+3{{x}_{2}}\,\,\,\,\,\le 500 \\ & {{x}_{1}}\,\,\,\,\,\,\,\,+2{{x}_{3}}\le 350 \\ & with{{x}_{1}}\ge 0,\,\,{{x}_{2}}\ge 0,\,\,{{x}_{3}}\ge 0 \\ & \\ \end{aligned}\)

1. Add slack variables or subtract surplus variables.
2. Set up the initial simplex tableau.

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