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Linear Programming Problem — Syllabus

CBSE · Class 12 · Applied Mathematics

What Linear Programming Problem covers in CBSE Class 12 Applied Mathematics: 4 topics, for the 2026-27 session.

49 questions22 flashcards5 concepts

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4 Topics · CBSE Class 12 Applied Mathematics · 2026-27

Topics in Linear Programming Problem

1

Basic Concepts and Components of LPP

  • Linear Programming deals with optimization of a linear objective function subject to linear constraints
  • Three main components: Decision Variables, Objective Function, and Linear Constraints
  • Decision variables represent quantities to be determined (usually x, y)
2

Types of LPP and Real-Life Applications

  • Manufacturing Problem: Optimizing production with limited resources
  • Diet Problem: Finding minimum cost diet satisfying nutritional requirements
  • Transportation Problem: Minimizing transportation cost from sources to destinations
3

Solution Concepts and Terminology

  • Solution: Set of values satisfying constraints
  • Feasible Solution: Solution satisfying all constraints including non-negativity
  • Infeasible Solution: Solution violating one or more constraints
4

Fundamental Theorems of Linear Programming

  • Theorem 1: Optimal value occurs at corner point of feasible region
  • Theorem 2: For bounded region - both max and min exist at corner points
  • For unbounded region - max/min may not exist, but if exists, occurs at corner point

Key Concepts

A mathematical optimization technique that dealsVariables (usually xA linear function Z = axLinear inequalities or equations that representThe common region on the graph

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Frequently Asked Questions

What are the important topics in Linear Programming Problem for CBSE Class 12 Applied Mathematics?
Key topics in Linear Programming Problem include Basic Concepts and Components of LPP, Types of LPP and Real-Life Applications, Solution Concepts and Terminology, Fundamental Theorems of Linear Programming. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How should I revise Linear Programming Problem for the CBSE Class 12 board exam?
Learn the core ideas first, then work through the 49 practice questions on Linear Programming Problem. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 12 Applied Mathematics Syllabus

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