Solve the following L.P.P. graphically: Maximise Z =60 x +40 y Subject to x +2 y ≤ 12 2 x + y ≤ 12; 4 x +5 y ≥ 20; x, y ≥ 0

Solve the following L.P.P. graphically : Maximise $\displaystyle \mathrm{Z}=60 \mathrm{x}+40 \mathrm{y}$ Subject to $\displaystyle \mathrm{x}+2 \mathrm{y} \leq 12$ \[\begin{aligned} & 2 \mathrm{x}+\mathrm{y} \leq 12 \\ & 4 \mathrm{x}+5 \mathrm{y} \geq 20 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \]