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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dealt with graphical analysis of linear programming problems. We discussed some basic definitions‚ graphical methods to solve LPP‚ some exceptional cases‚ advantages‚ limitations‚ and important geometric properties of LPP. In this unit‚ we will deal with the simplex method‚ which focuses on solving an LPP of any enormity involving two or more decision variables. The simplex algorithm is an iterative procedure for finding the optimal solution to a linear programming problem. The objective function
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Quantitative Methods in Business – Linear Programming 1- Statement of the Problem: Middle East for investment offers a bundle of investment options in many types of securities. Mr. Brown‚ an investor‚ would like to invest $ 5 million in various securities. He wishes to maximize his yearly profit over the next year. The investment company offered him a portfolio including Bonds‚ Stocks‚ Gold and Land. The expected return is 6% for Bonds‚ 14% for Stocks‚ 10% for Gold and 5% for Land. For diversification
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Take-Home Mid-Term Chapters 1-4 Saint Francis University – Spring 2015 – John S. Miko Due February 24‚ 2015 40 points (40 points – 10 points each) Please solve each problem fully and answer any follow-up questions. Circle all answers. For the Linear Program models done in Excel Solver‚ I would not only like you to print the spreadsheet with the end results but I also want to see the Decision Variables‚ Objective Function‚ and Constraints that you modeled using Excel Solver. This portion can be
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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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simplex tableau 4. Recognize special cases such as infeasibility‚ unboundedness‚ and degeneracy 5. Use the simplex tables to conduct sensitivity analysis 6. Construct the dual problem from the primal problem © 2009 Prentice-Hall‚ Inc. 9–2 Linear Programming: The Simplex Method © 2008 Prentice-Hall‚ Inc. Chapter Outline 9.1 Introduction 9.2 How to Set Up the Initial Simplex Solution 9.3 Simplex Solution Procedures 9.4 The Second Simplex Tableau 9.5 Developing the Third Tableau 9.6 Review
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Problem Introduction Julia Robertson‚ a senior at Tech‚ is investigating different way to finance her final year at school. She is considering opening a food booth outside the stadium at the home football games. We are asked to formulate and solve the linear program in excel‚ write the sensitivity ranges for the objective function coefficients and the constraint quantity values then determine if Julia were to borrow some money from a friend before the first game to purchase more ingredients‚ could she
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Assignment #3: Case Problem "Julia’s Food Booth" Page 1 Case Problem "Julia’s Food Booth" Jenna Kiragis Strayer University 8/24/2012 Assignment #3: Case Problem "Julia’s Food Booth" Page 2 A) Formulate and solve an L.P. model: Variables: x1 – Pizza Slices x2 – Hot Dogs x3 – Barbeque Sandwiches Subject to: $0.75x1 + $0.45x2 + $0.90x3 ? $1‚500 24x1 + 16x2 + 25x3 ? 55‚296
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Case Problem 3: Hart Venture Capital 1. Let S = fraction of the Security Systems project funded by HVC M = fraction of the Market Analysis project funded by HVC Max 1‚800‚000S + 1‚600‚000M s.t. 600‚000S + 500‚000M ≤ 800‚000 Year 1 600‚000S + 350‚000M ≤ 700‚000 Year 2 250‚000S + 400‚000M ≤ 500‚000 Year 3 S
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Solution to Homework #3 4. a. Y 10 8 6 Optimal Solution X = 2.5‚ Y = 2.5 4 8 (2 2 .5) +1 2 (2 2 .5) =5 0 4 X 6 8 10 b. The value of the optimal solution to the revised problem is 8(2.5) + 12(2.5) = 50. Compared to the original problem‚ the value of the optimal solution has increased by 50 48 = 2. Thus‚ the dual value is 2. c. The right-hand side range for constraint 1 is 5 to 11. As long as the right-hand side stays within this range‚ the dual value of 2 is applicable. Since increasing
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