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Assignment 1

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  4. Department of Statistics
  5. OR-I(Ann)
  6. 3.Linear programming
  7. Assignment 1
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Table of Contents

General
  • Important Announcements
  • Department of Statistics-website
  • Syllabus for M.Sc statistics
  • Announcements
1.About this course
  • Activity1.1
  • K.V. Mital and C. Mohan, “Optimization Methods in Operations Research and systems Analysis”
2.Operations Research.-definition and scope
  • Activity 2.1
  • Quiz on Introduction
3.Linear programming
  • Activity 3.1
  • Activity 3.2
  • Activity 3.3
  • Assignment 1
4.Simplex method, two phase simplex method, Big-M method
  • Activity 4.1-Simplex method
  • Activity 4.1.1
  • Activity 4.1.2
  • Activity 4.2-Big-M method
  • Activity 4.2.2
  • Activity 4.3-Two phase method
  • Activity 4.3.1
  • Voice
  • Query
  • Assignment 2
5.Duality concepts,duality theorems, dual simplex methods.
  • Activity 5.1
  • Activity 5.2 -Dual simplex method
  • Activity 5.3
  • Assignment 3
QUERIES AND HELP
  • Doubts and discussions
  • To Chat and clear doubts click here
Completion requirements
Opened: Monday, 29 June 2020, 12:00 AM
Due: Monday, 6 July 2020, 12:00 AM

1. Find some situations where LPP is used in your daily life and develop an LPP corresponding to it and solve it.

2.Find the solution of the following LPP using graphical method.

            Minimize \(  Z=5x_{1}+8x_{2} \)

            subject to

\( \\\qquad\qquad x_{1}\leq 4\\ \qquad\qquad x_{2}\geq 2\\ \qquad\qquad x_{1}+x_{2}=5\\ \qquad\qquad x_{1},x_{2}\geq0 \)

3.  Find the solution of the following LPP using graphical method.

 Maximize \(  Z=50x_{1}+30x_{2} \)

            subject to

\( \\\qquad\qquad 2x_{1}+x_{2}\geq 18\\ \qquad\qquad x_{1}+x_{2}\geq 12\\ \qquad\qquad 3x_{1}+2x_{2} \leq 34\\ \qquad\qquad x_{1},x_{2}\geq0 \)


◄ Activity 3.3
Activity 4.1-Simplex method ►
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