CheckPoint: Programming Problems Complete the programming problems 1 and 2 as described below. DO NOT COMPLETE THE PROBLEMS FROM THE TEXT For each of the following problems‚ use the top-down modular approach when writing the pseudocode to design a suitable program to solve each problem. Be sure to include an “analysis” for each problem. Note: you need to write 2 separate programs that will handle each problem separately. That means you will also have 2 analyses. Problem 1 Design a program
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Q.1. What is a linear programming problem ? Discuss the steps and role of linear programming is solving management problems. Discuss and describe the role of liner programming in managerial decision-making bringing out limitations‚ if any. Ans : Linear Programming is a mathematical technique useful for allocation of scarce or limited resources to several competing activities on the basis of given criterion of optimality. The usefulness of linear programming as a tool for optimal decision-making
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7. Constraint-Based Reasoning 7. Constraint-Based Reasoning 7.1 Introduction 7.2 Systematic Search for CSPs 7.3 Constraint Propagation 7.4 Heuristics for CSPs 7.5 Iterative (non systematic) Algorithms for CSPs 7.6 Tree-structured CSPs 7.7 Constraint-Based Systems CS 820 2 7.1 Introduction 7.1 Introduction “Constraint programming represents one of the closest approaches computer science has yet made to the holy grail of programming : the user states the problem‚ the computer
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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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Approach Quantitative Analysis involves the use of mathematical equations or relationships in analyzing a particular problem. Steps in Quantitative Analysis Approach 1. Define the problem 2. Develop a model 3. Acquire input data 4. Develop a solution 5. Test the solution 6. Analyze the results 7. Implement the results 2. Decision Theory Six steps in decision making 1. Define the problem 2. List possible alternatives 3. Identify possible outcome or state of nature 4. List the payoff or profit of each
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The homework problems for Module 4 are: 2-24‚ 34‚ 36‚ 38 (you only have to do part A for these problems. You do not have to do the part B graphical solutions) and 3-10‚ 12 (parts B and C for Problem 12)‚ 28‚ 30. Please use Excel solver function. I posted an annotated solution to Problem 2-5. This problem is an examplar for both the chapter 2 and 3 problems. In this example I show how I typically set up a problem. First I set up the linear programming model and then develop a parallel set-up
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Level 2 - Semester 2 Examination: MA 2030 LINEAR ALGEBRA Time Allowed: 2 hours 2010 September 2010 ADDITIONAL MATERIAL: None INSTRUCTIONS TO CANDIDATES: This paper contains 6 questions and 5 pages. Answer FIVE questions and NO MORE. This is a closed book examination. Only the calculators approved and labeled by the Faculty of Engineering are permitted. This examination accounts for 70% of the module assessment. Assume reasonable values for any data not given in or with the
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INTRODUCTION My topic is oil refinering using linear programming‚ this is under petrochemical industries which mean it will deal more about chemicals‚ this is about optimising the cost using a modelling method in mathematics called linear programming. This is very important because it links what is done in petrochemical industries with mathematics. Since there is a huge need of the products that are produced after petroleum refinering which are petrol‚ gasoline‚ oil‚ diesel and etc so in the
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Graphical and Simplex Methods of Linear Programming The graphical method is the more popular method to use because they are easy to use and understand. Working with only a few variables at a time they allow operations managers to compare projected demand to existing capacity. The graphical method is a trial and error approach that can be easily done by a manager or even a clerical staff. Since it is trial and error though‚ it does not necessarily generate the optimal plan. One downside of this
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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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