Solve the following Linear Programming problem graphically: Maximise Z =300 x +600 y Subject to x +2 y ≤ 12 2 x + y ≤ 12; x +5/4 y ≥ 5; x ≥ 0, y ≥ 0

Solve the following Linear Programming problem graphically : Maximise $\displaystyle \mathrm{Z}=300 \mathrm{x}+600 \mathrm{y}$ Subject to $\displaystyle \mathrm{x}+2 \mathrm{y} \leq 12$ \[\begin{aligned} & 2 \mathrm{x}+\mathrm{y} \leq 12 \\ & \mathrm{x}+\frac{5}{4} \mathrm{y} \geq 5 \\ & \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{aligned} \]