Question

The LPP to maximize Z = x + y, subject to x + y ≤ 1, 2x + 2y ≥ 6, x ≥ 0, y ≥ 0 has ________.

Options

• infinite solutions

• one solution

• no solution

• two solutions

Answer 1

The LPP to maximize Z = x + y, subject to x + y ≤ 1, 2x + 2y ≥ 6, x ≥ 0, y ≥ 0 has no solution.

Explanation:

We have,

Maximize, Z = x + y

Subject to constraints

x + y ≤ 1

2x + 2y ≥ 6

x ≥ 0, y ≥ 0

Here, No feasible region

∴ No solution