Chapter 23 of 27
Revision Notes
Linear Programming — Revision Notes
CUSAT CAT · Mathematics
Free Linear Programming revision notes for CUSAT CAT Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Linear Programming for CUSAT CAT 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 CUSAT CAT?
Linear Programming is an important chapter in CUSAT CAT 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 CUSAT CAT?
Linear Programming is a frequently tested chapter in CUSAT CAT 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 CUSAT CAT?
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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