[See Steps] Write the simplex tableau for the following system: Maximize z=2x_1+3x_2 , subject to: 3x_1+5x_2≤ 29 , 2x_1+x_2≤ 10 , x_1,x_2≥ 0


Question: Write the simplex tableau for the following system:

\[\begin{aligned} & \text{Maximize }z=2{{x}_{1}}+3{{x}_{2}} \\ & \text{subject to:}\,\,\,\,\,\,\,\,\,\,\,\,\,3{{x}_{1}}+5{{x}_{2}}\le 29 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2{{x}_{1}}+{{x}_{2}}\le 10 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{x}_{1}},{{x}_{2}}\ge 0 \\ \end{aligned}\]

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