Question

The constraints –x₁ + x₂ ≤ 1, –x₁ + 3x₂ ≤ 9, x₁x₂ ≥ 0 define on ______.

Options

• Bounded feasible space

• Unbounded feasible space

• Both bounded and unbounded feasible space

• None of these

Answer 1

The constraints –x₁ + x₂ ≤ 1, –x₁ + 3x₂ ≤ 9, x₁x₂ ≥ 0 define on unbounded feasible space.

Explanation:

It is clear from the graph, the constaints define the unbounded feasible space.