Question: 23. Consider this LP formulation:

\[\begin{aligned} & \min \,\,\,x+2y \\ & \text{s}\text{.t}\text{.} \\ & x+3y\ge \text{90} \\ & 8x+2y\ge 160 \\ & 3x+2y\ge 120 \\ & y\le 70 \\ & x,y\ge 0 \\ \end{aligned}\]

Graphically illustrate the feasible region and apply the isocost line procedure to indicate which corner point produces the optimal solution. What is the cost of this solution?