The vertices of the feasible region for the constraints $x+y \leq 4, x \leq 2, y \leq 1, x+y \geq 1, x$, $y…
The vertices of the feasible region for the constraints $x+y \leq 4, x \leq 2, y \leq 1, x+y \geq 1, x$, $y \geq 0$ are
(1,0),(2,0),(2,1),(0,4)
(0,1),(4,0),(0,4),(1,0)
(1,0),(2,0),(2,1),(0,1)
(1,0),(4,0),(2,1),(0,4)
Solution
Feasible region lies on origin side of $x+y=4$, $x=2, y=1$ and non-origin side of $x+y=1$ and in first quadrant.
$\therefore \quad$ Vertices of feasible region are $\mathrm{A}(1,0), \mathrm{B}(2,0), \mathrm{C}(2,1), \mathrm{D}(0,1)$
