PRC-2 · Chapter 4 · Question 10 of 60
What is the primary business logic behind enforcing the non-negativity constraints x ≥ 0 and y ≥ 0 in linear programming models?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) Because physical quantities of products manufactured or sold cannot be negative.
Explanation
In physical reality, a company cannot produce a negative number of items. The non-negativity constraint restricts the feasible region to the first quadrant to reflect this business reality.
More Linear Programming MCQs
- Q12Identify the redundant constraint in the following system: x ≤ 5, y ≤ 6, and x ≤ 10.
- Q13Given the objective function to maximize profit P = 400x + 200y, and corner points of a feasible region at (0, 10), (8, 0), and (5, 5)…
- Q14Which of the following statements perfectly describes a feasible region?
- Q15A graphical boundary line is defined as x = 4. What does the inequality x ≥ 4 represent visually on the coordinate plane?
- Q16What is the primary overarching purpose of utilizing linear programming in a business scenario?