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Q.
For the following shaded area, the linear constraints except $x \geq 0$ and $y \geq 0$ , are
Linear Programming
Solution:
To test the origin for $2x + y = 2 ,x - y = 1$ and $x + 2y = 8$ in reference to shaded area,$ 0 + 0 < 2$ is true for $2x + y = 2$ . So for the region does not include origin (0, 0), $ 2x + y \geq 2. $ Again for $x - y = 1, 0 - 0 < 1, \therefore x - y \leq 1 $
Similarly for $x + 2y = 8, 0 + 0 < 8 : \, \, \, \, \, \, \therefore \, x + 2y \leq 8 . $
