Question: Use the simplex method to solve the following maximization problem with the given tableau. You may use an applet or something from the internet to help you, but you must explain each step. If you have it worked without an explanation for each step, you will receive no credit.

\[\begin{aligned} & \,\,\,\begin{matrix} {{x}_{1}} & {{x}_{2}} & {{s}_{1}} & {{s}_{2}} & z \\ \end{matrix} \\ & \left[ \begin{matrix} 2 & 1 & 1 & 0 & 0 & 10 \\ 1 & 3 & 0 & 1 & 0 & 16 \\ -2 & -3 & 0 & 0 & 1 & 0 \\ \end{matrix} \right] \\ \end{aligned}\]