Question: Write the simplex tableau for the following system:

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