An Example of Two Phase Simplex Method Consider the following LP problem. max z = 2x1 + 3x2 + x3 s.t. x1 + x2 + x3 · 40 2x1 + x2 ¡ x3 ¸ 10 ¡x2 + x3 ¸ 10 x1; x2; x3 ¸ 0 It can be transformed into the standard form by introducing 3 slack variables x4‚ x5 and x6. max z = 2x1 + 3x2 + x3 s.t. x1 + x2 + x3 + x4 = 40 2x1 + x2 ¡ x3 ¡ x5 = 10 ¡x2 + x3 ¡ x6 = 10 x1; x2; x3; x4; x5; x6 ¸ 0 There is no obvious initial basic feasible solution‚ and it is not even known whether there exists one
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17th International Mining Congress and Exhibition of Turkey- IMCET 2001‚ © 2001‚ ISBN 975-395-417-4 Optimum Blending of Coal by Linear Programming for the Power Plant at Seyitömer Coal Mine K.Erarslan‚ H.Aykul‚ H.Akçakoca & N.Çetin Dumlupınar University‚ Department of Mining Engineering‚ 43100‚ Kütahya‚ Turkey ABSTRACT: In this study‚ a linear programming model is developed to determine the optimum coal blend in terms of quality and quantity. Coal with various features is mined from different
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Chapter 2 An Introduction to Linear Programming 18. a. Max 4A + 1B + 0S1 + 0S2 + 0S3 s.t. 10A + 2B + 1S1 = 30 3A + 2B + 1S2 = 12 2A + 2B + 1S3 = 10 A‚ B‚ S1‚ S2‚ S3 0 b. c. S1 = 0‚ S2 = 0‚ S3 = 4/7 23. a. Let E = number of units of the EZ-Rider produced L = number of units of the Lady-Sport produced Max 2400E + 1800L s.t. 6E + 3L 2100 Engine time L 280 Lady-Sport maximum
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PERSONAL FINANCIAL INVESTMENT STRATEGY ANALYSIS [pic] PROBLEM: Bob and Pina Ing‚ 31 and 28‚ a newly-wed couple found themselves in the midst of an interesting decision making problem. It appeared that their fortune had turned overnight when they won a mega lottery and received one million dollars after tax in price money. They were confused about how to invest their money‚ such that it gives them the maximum return on their investment. The couple consulted Jayhawks Financial Services LLC
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Linear Programming Model in Operation Research study is usually mathematical type of model which contains set of equations that represent objective function and constraints. The keywords in this article are Objective Function and Constraints‚ according to Heizer & Render (2008) Objective Function are mathematical expression expressed in linear programming designed to maximizes or minimizes some quantity‚ for example profit can maximized while the cost might be reduced. The objective function is also
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Table of Contents Task 1 3 Report 1 4 Logical Data Structure 4 Preliminary Program Structure 5 Program Specification 6 Report 2 9 Logical Data Structure 9 Preliminary Program Structure 10 Program Specification 10 Task 2 14 Pseudo code for Report 1 15 Pseudo code for report 2 16 Flowcharts for Report 1 18 Flowchart for Report 2 19 Task 3 21 Pseudo codes for a procedure that checks whether a member is paid-up member. 22 Pseudo code for main menu 23 Flowchart for Main menu 24 Testing
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Module A: The Simplex Solution Method PROBLEM SUMMARY 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. *13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. *28. *29. *30. 31. 32. 33. 34. Simplex short answer Simplex discussion short answer Simplex short answer Simplex short answer Simplex short answer Simplex short answer 4 tableaus 2 tableaus 3 tableaus 3 tableaus 2 tableaus 5 tableaus 5 tableaus 5 tableaus 6 tableaus 4 tableaus 3 tableaus 3 tableaus 3 tableaus Simplex short answer 3 tableaus 4
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APUNTES SOBRE EL MÉTODO SÍMPLEX DE PROGRAMACIÓN LINEAL Adriel R. Collazo Pedraja 2 INTRODUCCIÓN Este trabajo tiene como propósito proveer ayuda al estudiante para que pueda comprender y manejar más efectivamente el método símplex de programación lineal. Ilustraremos la aplicación a situaciones de maximización‚ minimización y análisis de sensibilidad. El Método Símplex como herramienta de programación lineal fue desarrollado para la época de los años cuarenta por George Dantzing‚ un joven matemático
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LIMITATIONS TO DUCKWORTH LEWIS METHOD Ravi Agarwal Abstract-The Duckworth Lewis method‚ or D/L method‚ was created by Frank Duckworth and Tony Lewis. The International Cricket Council (ICC) adopted D/L method in 1999 to address the issue of delayed one-day cricket matches due to interruptions such as inclement weather conditions‚ poor light and floodlight failures‚ and crowd problems. This paper deals with the evaluation of the Duckworth Lewis method‚ identifying its limitation‚ and
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There are multiple methods of English language teaching. Ever since the invention of what some may argue to be the pioneering method in the field‚ the Grammar Translation Method (GTM)‚ various other methods have been devised‚ in order to try and overcome the limitations of their predecessors. It is well known that each method has its strengths and limitations. The degree to which the strengths catalyse‚ and the limitations impeding the learning process of the student‚ depends mostly on the student
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