Solve the following linear programming problem graphically: Minimize z = x +2 y subject to the constraints 2 x + y ≥ 3; x +2 y ≥ 6; x ≥ 0; y ≥ 0

Solve the following linear programming problem graphically : Minimize $\displaystyle \mathrm{z}=\mathrm{x}+2 \mathrm{y}$ subject to the constraints \[\begin{aligned} 2 \mathrm{x}+\mathrm{y} & \geq 3 \\ \mathrm{x}+2 \mathrm{y} & \geq 6 \\ \mathrm{x} & \geq 0 \\ \mathrm{y} & \geq 0 \end{aligned} \]