PRC-2 · Chapter 4 · Question 17 of 60
A factory produces items X and Y. Production is restricted by the inequalities x ≤ 20, y ≤ 30, and x ≤ 50. Which of these constraints is mathematically considered 'redundant'?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) x ≤ 50
Explanation
A redundant constraint is one that does not actively limit the feasible region because another constraint is stricter. Since x is already strictly limited to 20 or less by the first constraint, the restriction x ≤ 50 has no further impact.
More Linear Programming MCQs
- Q19The specific mathematical equation that a company seeks to maximize (such as total profit) or minimize (such as total costs) is formally…
- Q20According to the fundamental theorems of linear programming, where does the optimal mathematical solution always occur within a defined…
- Q21Why are non-negativity constraints (x ≥ 0, y ≥ 0) standard requirements in production-based linear programming models?
- Q22Given an objective function to maximize profit P = 50x + 40y, and the feasible corner points are (0,0), (10,0), (0,15), and (5,10). What…
- Q23At what exact coordinate point do the linear boundary constraints x + y = 100 and 2x + y = 150 intersect?