Solve graphically the following linear programming problem: Maximise z =6 x +3 y, subject to the constraints 4 x + y ≥ 80; 3 x +2 y ≤ 150; x +5 y ≥…

Solve graphically the following linear programming problem : Maximise $\displaystyle \mathrm{z}=6 \mathrm{x}+3 \mathrm{y}$, subject to the constraints \[\begin{array}{r} 4 \mathrm{x}+\mathrm{y} \geq 80 \\ 3 \mathrm{x}+2 \mathrm{y} \leq 150 \\ \mathrm{x}+5 \mathrm{y} \geq 115 \\ \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{array} \]