Question: (a) Solve the system

\[\begin{aligned} & 2x-y\ge -2 \\ & -x+2y\ge -2 \\ & x+y\ge 1 \\ & x\ge 0 \\ & y\ge 0 \\ \end{aligned}\]

(b) Solve

\[\begin{aligned} & \min \,\,\,\,2x+3y \\ & s.t. \\ & 2x-y\ge -2 \\ & -x+2y\ge -2 \\ & x+y\ge 1 \\ & x,y\ge 0 \\ \end{aligned}\]