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Linear Programming

Uttarakhand Board · Class 12 · Mathematics

Quick revision notes for Linear Programming — Uttarakhand Board Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards5 concepts

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A comparison chart showing two graphs: one with a bounded feasible region and another with an unbounded feasible region, explaining the implications for optimal solutions.
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Key Topics to Revise

1

Introduction and Basic Concepts

  • Linear Programming Problems arise from real-world optimization situations
  • These problems involve finding maximum profit, minimum cost, or optimal resource allocation
  • The furniture dealer example: maximizing profit from buying tables and chairs with limited money and storage
2

Mathematical Formulation

  • Decision variables represent the quantities to be determined (x and y)
  • Objective function is the linear function to be optimized
  • Constraints are linear inequalities that limit the feasible solutions
3

Graphical Method of Solution

  • Graph each constraint as a line and identify the feasible half-plane
  • The feasible region is the intersection of all constraint half-planes
  • Corner points (vertices) of the feasible region are potential optimal solutions
4

Corner Point Method

  • Step 1: Find the feasible region and identify all corner points
  • Step 2: Evaluate the objective function at each corner point
  • Step 3: Select the corner point giving maximum/minimum value as required

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Full Notes

Key Concepts

An optimization problem that seeksA linear function Z = axLinear inequalities or equations that restrictThe common region determined by allA systematic approach to find optimal

Frequently Asked Questions

What are the important topics in Linear Programming for Uttarakhand Board Class 12 Mathematics?
Linear Programming covers several key topics that are frequently asked in Uttarakhand Board 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 — Uttarakhand Board Class 12 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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