Linear Programming - Applications & Optimization
Maths Higher · Grade 12 · Week 36 · 25 questions
Linear Programming is a core Grade 12 mathematics chapter carrying significant board weight, covering Applications & Optimization. For JEE, speed on these standard problem types is critical — build fluency through timed practice.
What you'll practise
- Identify Applications & Optimization
- Master the key derivations and worked examples from NCERT for linear programming
- Solve CBSE board-pattern problems from linear programming including NCERT exemplar-level questions
All 25 questions in this Linear Programming - Applications & Optimization quiz
Grade 12 Maths Higher — Linear Programming - Applications & Optimization: 25 practice questions with instant scoring and explanations.
- Practical LP: resource allocation, diet problem, transportation:
- Diet problem minimizes cost subject to:
- Transportation problem optimizes:
- Production optimization variables are:
- Assignment problem uses:
- Blending problem constraints include:
- Inventory optimization balances:
- Maximizing profit = selling price × quantity - costs:
- Constraint 3x + 2y ≤ 20 for workshop hours means:
- Dual problem in LP:
- Shadow price is:
- LP for workforce scheduling:
- Sensitivity analysis asks:
- Post-optimality analysis examines:
- Integer programming restricts variables to:
- Binary variables are used for:
- Branch and bound solves:
- Gomory cuts in integer LP:
- LP with uncertainty uses:
- Multi-objective LP balances:
- Network flow problems:
- Critical path method uses:
- Queuing theory optimizes:
- Real-world LP rarely has:
- If objective function Z = 3x + 2y is to be maximised and corner points are (0,0), (4,0), (2,3), (0,5), max Z is:
Question 1 of 250 correct so far