Question: The following is a final tableau of minimization a problem. State the solution and the minimum value of the objective function.

\(\begin{aligned} & \begin{matrix} {{y}_{1}} & {{y}_{2}} & {{y}_{3}} & {{s}_{1}} & {{s}_{2}} & {{s}_{3}} & z \\ \end{matrix} \\ & \left[ \begin{matrix} 1 & 0 & 0 & 3 & 1 & 2 & 0 & 12 \\ 0 & 0 & 1 & 4 & 5 & 3 & 0 & 5 \\ 0 & 1 & 0 & -2 & 7 & -6 & 0 & 8 \\ 0 & 0 & 0 & 5 & 7 & 3 & 1 & -172 \\ \end{matrix} \right] \\ \end{aligned}\)