Chapter 4.4, Problem 10E

In Problems 7-10, write the dual maximization problem and then solve both the primal and dual problems with the simplex method.

Minimize $g=2y_1+5y_2$ subject to

$\begin{array}{l}4y_1+y_2\ge 12\\ y_1+y_2\ge 9\\ y_1+3y_2\ge 15\end{array}$