Feasible Region and Optimal Solution MCQs
Feasible Region & Optimal Solution – MCQs with Answers & Explanations
Class: CBSE Class 12
Subject: Mathematics
Section: Linear Programming
Topic: Feasible Region and Optimal Solution MCQs
Exam Focus: CBSE Board Examinations
Subject: Mathematics
Section: Linear Programming
Topic: Feasible Region and Optimal Solution MCQs
Exam Focus: CBSE Board Examinations
These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 12 Board Examination practice. Each solution includes a clear explanation for conceptual understanding.
1. Feasible region is the set of points which:
Answer: B
Feasible region contains all points satisfying every constraint simultaneously.
Feasible region contains all points satisfying every constraint simultaneously.
2. Optimal solution of LPP occurs at:
Answer: B
Fundamental theorem: optimum lies at vertices/extreme points.
Fundamental theorem: optimum lies at vertices/extreme points.
3. Feasible region formed by linear constraints is:
Answer: A
Intersection of half-planes forms a convex set.
Intersection of half-planes forms a convex set.
4. If feasible region is empty, solution is:
Answer: B
No common region ⇒ no feasible solution.
No common region ⇒ no feasible solution.
5. Bounded feasible region guarantees:
Answer: B
Closed bounded region ensures max/min exists.
Closed bounded region ensures max/min exists.
6. Unbounded feasible region optimum:
Answer: B
7. Extreme point means:
Answer: A
8. Feasible region lies in first quadrant when:
Answer: A
9. Optimal value is obtained by evaluating objective function at:
Answer: B
10. Multiple optimal solutions occur when:
Answer: A
11. Feasible region may be:
Answer: D
12. Interior point lies:
Answer: B
13. Constraint boundaries are:
Answer: A
14. Feasible region formed by:
Answer: A
15. Objective function represents:
Answer: A
16. Optimal solution means:
Answer: A
17. Vertex evaluation method:
Answer: A
18. Convex region property:
Answer: A
19. Feasible solution satisfies:
Answer: B
20. Optimal value may be:
Answer: C