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.

45 questions22 flashcards5 concepts

Key Topics to Revise

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)

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

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

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

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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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