Answer: Non-negative (x >= 0, y >= 0).
- A Negative values such as x less than zero
- B Non-negative (x >= 0, y >= 0)
- C Equal to zero in each feasible solution case
- D Irrational numbers like square roots
Correct answer: B. Non-negative (x >= 0, y >= 0)
Explanation: Since decision variables usually represent real quantities like units produced, they are restricted to non-negative values.
The feasible region (shaded) is bounded by the constraint lines; the fundamental theorem of LPP guarantees the optimal value of the objective function occurs at one of the corner points (O, A, B, C), so only these need to be checked, not the entire region.
Concept context
Optimizing a linear objective function subject to linear constraints using the graphical corner point method.