Solve the following Linear Programming Problem graphically: Maximize Z =20 x +10 y subject to constraints x +2 y ≤ 28; 3 x + y ≤ 24; x ≥ 2; x, y ≥ 0

Solve the following Linear Programming Problem graphically : \[\text { Maximize } \mathrm{Z}=20 \mathrm{x}+10 \mathrm{y} \] subject to constraints \[\begin{aligned} \mathrm{x}+2 \mathrm{y} & \leq 28 \\ 3 \mathrm{x}+\mathrm{y} & \leq 24 \\ \mathrm{x} & \geq 2 \\ \mathrm{x}, \mathrm{y} & \geq 0 \end{aligned} \]