For the following shaded area, the linear constraints except $x, y \geq 0$ are
For the following shaded area, the linear constraints except $x, y \geq 0$ are
$2 x+y \leq 2, x-y \leq 1, x+2 y \leq 8$
$2 x+y \geq 2, x-y \leq 1, x+2 y \leq 8$
$2 x+y \geq 2, x-y \geq 1, x+2 y \leq 8$
$2 x+y \geq 2, x-y \geq 1, x+2 y \geq 8$
Solution
Shaded region lies on non-origin side of $2 x+y=2$ and on origin side of the lines $x-y=1$ and $x+2 y=8$
$\therefore \quad 2 x+y \geq 2, x-y \leq 1, x+2 y \leq 8$
