Question

The constraints of an LPP are 7 ≤ x ≤ 12, 8 ≤ y ≤ 13. Determine the vertices of the feasible region formed by them.

Options

• (7, 8), (12, 8), (12, 13), (7, 13)

• (8, 7), (8, 12), (13, 12), (13, 7)

• (7, 8), (12, 8), (13, 12), (13, 7)

• (8, 7), (8, 12), (12, 13), (7, 13)

Answer 1

(7, 8), (12, 8), (12, 13), (7, 13)

Explanation:

Converting the given inequalities into equations,

we get x = 7, x = 12, y = 8 and y = 13

The feasible region is as shown in the figure

∴ The vertices of the feasible region are (7, 8), (12, 8), (12, 13), and (7, 13)