The linear constraints, for which the shaded area in the figure is the feasible region of an LPP, are:

$x + y ≥50$ $2x+y≤80$ $x,y≥0$ $x + y ≤50$ $2x + y ≥ 80$ $x,y≥0$ $x + y ≤50$ $2x + y ≤ 80$ $x,y≥0$ $x + y ≥50$ $2x + y ≥ 80$ $x,y≥0$

$x + y ≤50$ $2x + y ≤ 80$ $x,y≥0$

corner points → (0, 0), (0, 50), (40, 0), (30, 20) from corner points and graph $x,y≥0$ and line $x + y ≤50$ $2x + y ≤ 80$ as both curves are under the line $x+y=50$ and $2x+y=80$ respectively.