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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Linear Programming Application Transportation Problem The Navy has 9‚000 pounds of material in Albany‚ Georgia that it wishes to ship to three installations: San Diego‚ Norfolk‚ and Pensacola. They require 4‚000‚ 2‚500‚ and 2‚500 pounds‚ respectively. Government regulations require equal distribution of shipping among the three carriers. The shipping costs per pound for truck‚ railroad‚ and airplane transit are shown below. Formulate and solve a linear program to determine the shipping
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Big-M method The Big-M method of handling instances with artificial variables is the “common sense approach”. Essentially‚ the notion is to make the artificial variables‚ through their coefficients in the objective function‚ so costly or unprofitable that any feasible solution to the real problem would be preferred....unless the original instance possessed no feasible solutions at all. But this means that we need to assign‚ in the objective function‚ coefficients to the artificial variables that
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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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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 to use as input to the Solver add-in. I use this strategy because I first like to set up the problem solution before I worry about setting up the parameters for using Solver. 24. Universal Claims Processors
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Linear Programming in Finance‚ Accounting and Economics Sijia Lu 7289928683 Abstract This article is literatures review about five articles‚ which apply linear programming to Finance‚ accounting and economics. The mathematical method is found of crucial importance in those fields. The paper shows how theoretical inference in linear programming throws light upon realistic practice‚ and how empirical evidence supports those theories. Keywords: finance; accounting; economics; linear programming; investment
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AVR Programming Methods There are many ways to program AVR microcontrollers. Since many people ask about different ones at one time or another‚ I thought I’d outline them here so that their questions can be answered quickly and efficiently. Please forgive me if I miss a method or make an error. 1 - In System Programming (ISP) Supported By: Most MEGA and TINY devices Supported Programmers: AVRISP MKI/II‚ JTAG MKII‚ STK500‚ STK600‚ Dragon‚ AVRISP clones‚ AVR910 Programmers‚ AVRONE In System
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Reviewer for MANSCIE 1. Introduction to Quantitative Analysis 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
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cost or the time of transportation. In previous lessons we have considered a number of specific linear programming problems. Transportation problems are also linear programming problems and can be solved by simplex method but because of practical significance the transportation problems are of special interest and it is tedious to solve them through simplex method. Is there any alternative method to solve such problems? 63.2 OBJECTIVES After completion of this lesson you will be able to:
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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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