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Linear Programming — Revision Notes

IISER Aptitude Test · Mathematics

Free Linear Programming revision notes for IISER Aptitude Test Mathematics 2026 — key concepts, formulas, and definitions for quick revision.

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Revision Notes — Linear Programming

Key concepts, formulas, and definitions from Linear Programming for IISER Aptitude Test Mathematics preparation.

Key Topics to Revise

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

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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

Frequently Asked Questions

What topics are covered in Linear Programming for IISER Aptitude Test?
Linear Programming is an important chapter in IISER Aptitude Test 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.
How important is Linear Programming for IISER Aptitude Test?
Linear Programming is a frequently tested chapter in IISER Aptitude Test Mathematics. Questions from this chapter appear regularly in previous year papers. There are 89 practice questions available for this chapter.
How to prepare Linear Programming for IISER Aptitude Test?
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.

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