Solve the following Linear Programming Problem graphically: Maximise Z =12 x +18 y subject to the constraints x + y ≤ 1200; x -2 y ≥ 0; x +3 y ≥ 600;…

Solve the following Linear Programming Problem graphically : Maximise $\displaystyle \mathrm{Z}=12 \mathrm{x}+18 \mathrm{y}$ subject to the constraints \[\begin{array}{r} \mathrm{x}+\mathrm{y} \leq 1200 \\ \mathrm{x}-2 \mathrm{y} \geq 0 \\ \mathrm{x}+3 \mathrm{y} \geq 600 \\ \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{array} \]