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Chapter 23 of 27
Syllabus

Linear ProgrammingSyllabus

MHT-CET · Mathematics

Free Linear Programming syllabus for MHT-CET Mathematics 2026 — topics covered, weightage, and preparation priorities for this chapter.

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An illustration showing a simple real-world problem, like a factory producing two types of products with limited resources (labor, raw materials) and aiming to maximize profit.
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Linear Programming — Syllabus & Topics

Topics covered in Linear Programming for MHT-CET 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

Frequently Asked Questions

What topics are covered in Linear Programming for MHT-CET?
Linear Programming is an important chapter in MHT-CET 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 MHT-CET?
Linear Programming is a frequently tested chapter in MHT-CET 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 MHT-CET?
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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