Question

Draw the rough graph and shade the feasible region for the inequalities x + y ≥ 2, 2x + y ≤ 8, x ≥ 0, y ≥ 0.

Answer 1

x + y ≥ 2, 2x + y ≤ 8, x ≥ 0, y ≥ 0

Consider, x + y = 2

When x = 0, y = 2 and When y = 0, x = 2

∴ A(0, 2), B(2, 0)

Consider 2x + y = 8

When x = 0, y = 8 and When y = 0, x = 4

∴ C(0, 8), D = (4, 0)

The feasible region is BDCAB.