In a Linear Programming Problem, the objective function Z =5 x +4 y needs to be maximised under constraints 3 x + y ≤ 6, x ≤ 1, x, y ≥ 0. Express the…

In a Linear Programming Problem, the objective function $\displaystyle \mathrm{Z}=5 \mathrm{x}+4 \mathrm{y}$ needs to be maximised under constraints $\displaystyle 3 \mathrm{x}+\mathrm{y} \leq 6, \mathrm{x} \leq 1, \mathrm{x}, \mathrm{y} \geq 0$. Express the LPP on the graph and shade the feasible region and mark the corner points.