(Solution Library) (a) Solve the system 2x-y≥ -2 , -x+2y≥ -2 , x+y≥ 1 , x≥ 0 , y≥ 0 , (b) Solve min 2x+3y , s.t. , 2x-y≥ -2 , -x+2y≥ -2 , x+y≥
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
\[\begin{aligned} & \min \,\,\,\,2x+3y \\ & s.t. \\ & 2x-y\ge -2 \\ & -x+2y\ge -2 \\ & x+y\ge 1 \\ & x,y\ge 0 \\ \end{aligned}\]
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