that any content on such websites is‚ or will remain‚ accurate or appropriate. For Anna‚ Nicholas‚ and Nora Dani¨l and Margriet e Contents Preface 1 Introduction 1.1 Mathematical optimization . . . . . . 1.2 Least-squares and linear programming 1.3 Convex optimization . . . . . . . . . . 1.4 Nonlinear optimization . . . . . . . . 1.5 Outline . . . . . . . .
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References: Bradley‚ S. P.‚ A. C. Hax‚ T. L. Magnanti. 1977. Applied Mathematical Programming. Addison-Wesley‚ Reading‚ MA. Hillier‚ F. S.‚ G. J. Lieberman. 2004. Introduction to Operations Research‚ 8th ed. McGraw Hill‚ Boston. Talluri‚ K.‚ G. van Ryzin. 2004. The Theory and Practice of Revenue Management. Kluwer‚ Boston. Tuck School of
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REVISED M09_REND6289_10_IM_C09.QXD 5/12/08 12:01 PM Page 115 9 C H A P T E R Linear Programming: The Simplex Method TEACHING SUGGESTIONS Teaching Suggestion 9.1: Meaning of Slack Variables. Slack variables have an important physical interpretation and represent a valuable commodity‚ such as unused labor‚ machine time‚ money‚ space‚ and so forth. Teaching Suggestion 9.2: Initial Solutions to LP Problems. Explain that all initial solutions begin with X1 ϭ 0‚ X2 ϭ 0 (that
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Julia’s Food Booth. Parts A thru C. Please provide linear programming model‚ graphical solution‚ sensitivity report‚ and answers to questions A thru C. (Problem on page 2) [pic] [pic] A) Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth. Let‚ X1 =No of pizza slices‚ X2 =No of hot dogs‚ X3 = barbeque sandwiches Formulation: 1. Calculating Objective function co-efficients:
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Ye Department of Management Science and Engineering Stanford University Stanford‚ CA 94305‚ U.S.A. http://www.stanford.edu/˜yyye (LY‚ Chapters 2.3-2.5‚ 3.1-3.4) Yinyu Ye‚ MS&E‚ Stanford MS&E310 Lecture Note #05 2 Geometry of linear programming Consider maximize subject to x1 x1 +2x2 ≤1 x2 ≤1 ≤ 1.5 ≥ 0. +x2 x2 x1 x1 ‚ Yinyu Ye‚ MS&E‚ Stanford MS&E310 Lecture Note #05 3 LP Geometry depicted in two variable space If the direction of c is contained by the norm
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Bibliography: 1. Bartle‚ Robert G. and Sherbert‚ Donald R. 1992: Introduction to Real Analysis‚ Wiley‚ New York. 3. Bazaraa‚ M. S. 1993: Nonlinear Programming‚ Wiley‚ New York. 4. Berberian‚ Sterling K. 1994: A First Course in Real Analysis‚ Spnnger-Verlag‚ New York. 5. Bertsekas‚ Dmiitri P. 1976: Dynamic Programming and Stochastic Control‚ Academic Press‚ New York. 8. Browder‚ Andrew‚ Halmos‚ P. R. and Axler‚ S. 1996: Mathematical Analysis: An Introduction‚ Springer Verlag‚ New
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MERTON TRUCK COMPANY Sol 1 : Given : Selling Price od Model 101 truck : 39000 Selling Price of Model 102 truck : 38000 We know‚ Contribution C = SP – VC VC for Model 101 : Direct Material + Direct Labor + Variable Overhead : 24000 + 4000 + 8000 = $36000 VC for Model 102: Direct Material + Direct Labor + Variable Overhead : 20000+ 4500+8500 = $33000 Let no of Model 101 produced be X Let no of Model 102 produced be Y Z= (39000-36000)X + (38000=33000)Y Z=3000X + 5000Y
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CONFIDENTIAL CS/SEPT 2014/QMT339 UNIVERSITI TEKNOLOGI MARA FINAL LAB TEST COURSE : SPREADSHEET MODELING AND DECISION ANALYSIS COURSE CODE : QMT339 EXAMINATION : SEPTEMBER 2014 TIME : 3 HOURS NAME : ____________________________________________________________ GROUP : ____________________ STUDENT ID LECTURER : ____________________________________________________________ : _________________________ INSTRUCTIONS TO CANDIDATES 1. 2. This question paper consists of two part: PART
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I. Evolution of Management Science DATE CONTRIBUTION CONTRIBUTOR Unknown Year BC Credited with a treatise on organization principles in Chapter 18 of the Book of Exodus. Jethro 212 BC Devised means on how to break the naval siege of Syracuse which was attacked then by the Romans. Known to be one of the earliest operations research evident on history. Archimedes Unknown Invention of work/operations specification (first evidence). Venice Skilled Ship Workers Unknown Institution of Hellenistic
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REPORT ON RED BRAND CANNERS – CASE STUDY Introduction: Red Brand Canners is a medium sized company that cans and distributes a variety of fruit and vegetable products under private brands in the western states. The company makes three different tomato products including whole tomatoes‚ tomato juice and tomato paste. They also distribute Choice peach halves‚ peach nectarine and cooking apple products. As part of their discussion over the amount of tomato products to pack in a particular
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