Chapter 6.3, Problem 18E

In Problems 13-20,

(A) Form the dual problem.

(B) Find the solution to the original problem by applying the simplex method to the dual problem.

$\begin{array}{l}\text{Minimize }C=40x_1+10x_2\\ \text{subject to 2}{x}_1+x_2\ge 12\\ \text{ 3}{x}_1-x_2\ge 3\\ x_1,x_2\ge 0\end{array}$