Question: Use the simplex method to solve

.

Minimize \[w=3{{y}_{1}}+2y{}_{2}\]

Subject to \[{{y}_{1}}+2{{y}_{2}}\ge 10\]

\[{{y}_{1}}+{{y}_{2}}\ge 8\] \[2{{y}_{1}}+2{{y}_{2}}\ge 12\]

With \[{{y}_{1}}\ge 0\] \[{{y}_{2}}\ge 0\]

(Hint: Find transpose matrix for the dual problem)