Solve the following L.P.P. graphically: Minimise Z =6 x +3 y Subject to constraints 4 x + y ≥ 80; x +5 y ≥ 115; 3 x +2 y ≤ 150; x, y ≥ 0

Solve the following L.P.P. graphically : Minimise $\displaystyle \mathrm{Z}=6 \mathrm{x}+3 \mathrm{y}$ Subject to constraints \[\begin{aligned} & 4 \mathrm{x}+\mathrm{y} \geq 80 \\ & \mathrm{x}+5 \mathrm{y} \geq 115 \\ & 3 \mathrm{x}+2 \mathrm{y} \leq 150 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \]