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Chapter 23 of 27
Syllabus

Linear ProgrammingSyllabus

WBJEE · Mathematics

Topics covered in Linear Programming for WBJEE Mathematics. Understand the syllabus structure and key areas to focus on.

Linear Programming — Syllabus & Topics

Topics covered in Linear Programming for WBJEE Mathematics.

Topics in Linear Programming

1

Fundamental Concepts and Definitions

  • Linear Programming deals with optimization of linear functions subject to linear constraints
  • All variables must be non-negative (x ≥ 0, y ≥ 0)
  • Constraints are represented as linear inequalities
2

Mathematical Formulation of LPP

  • Step 1: Identify decision variables (what we need to find)
  • Step 2: Formulate objective function (what to optimize)
  • Step 3: Write all constraints as linear inequalities
3

Graphical Method - Step by Step Solution

  • Step 1: Convert inequalities to equations and plot boundary lines
  • Step 2: Determine which side of each line satisfies the inequality
  • Step 3: Find the intersection region of all constraints (feasible region)
4

Worked Examples with Complete Solutions

  • Example 1: Maximization Problem
  • Example 2: Minimization Problem
  • Example 3: Unbounded Feasible Region

Key Concepts

A mathematical method to find optimalThe linear function to be maximizedLinear inequalities or equations that restrictThe area on a graph whereThe optimal solution occurs at corner

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Frequently Asked Questions

What topics are covered in Linear Programming for WBJEE?

Linear Programming is an important chapter in WBJEE Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Fundamental Concepts and Definitions, Mathematical Formulation of LPP, Graphical Method - Step by Step Solution, Worked Examples with Complete Solutions.

Linear Programming is a frequently tested chapter in WBJEE Mathematics. Questions from this chapter appear regularly in previous year papers. There are 48 practice questions available for this chapter.

Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.