(Solved): Complete parts (A) and (B) below for the minimization problem to the right. MinimizeC=3x1+26 ...

Complete parts $(A)$ and $(B)$ below for the minimization problem to the right. $\begin{array}{rr}\text{ Minimize }C=3x_1+26x_2& \\ \text{ subject to }4x_1+x_2\ge 11& \\ x_1+4x_2\ge 11& \\ x_1\cdot x_2\ge & 0\end{array}$ (A) Form the dual problem. Maximize $P=11y_1+11y_2$ subject to $4y_1+y_2\le 3,y_1+4y_2\le 26$ and $y_1,y_2\ge 0$ (Simplify your answers. Type expressions using $y_1$ and $y_2$ as the variables. Use a comma to separate answers as needed.) (B) Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The minimum is $\mathrm{C}=$ at ${\mathrm{x}}_1=$ and ${\mathrm{x}}_2=$ (Simplify your answers.) B. The optimal solution does not exist.