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Linear Programming Problem

CBSE · Class 12 · Applied Mathematics

Quick revision notes for Linear Programming Problem — CBSE Class 12 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.

50 questions22 flashcards5 concepts

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Key Topics to Revise

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

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Full Notes

Key Concepts

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

Frequently Asked Questions

What are the important topics in Linear Programming Problem for CBSE Class 12 Applied Mathematics?
Linear Programming Problem covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Programming Problem — CBSE Class 12 Applied Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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