RESEARCH PAPER ON LINEAR PROGRAMMING Vikas Vasam ID: 100-11-5919 Faculty: Prof. Dr Goran Trajkovski CMP 561: Algorithm Analysis VIRGINIA INTERNATIONAL UNIVERSITY Introduction: One of the section of mathematical programming is linear programming. Methods and linear programming models are widely used in the optimization of processes in all sectors of the economy: the development of the production program of the company
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gallon per acre. What is the maximum profit he can make? SOLUTION TO PROBLEM NUMBER 1 let x = the number of acres of wheat let y = the number of acres of barley. since the farmer earns $5‚000 for each acre of wheat and $3‚000 for each acre of barley‚ then the total profit the farmer can earn is 5000*x + 3000*y. let p = total profit that can be earned. your equation for profit becomes: p = 5000x + 3000y that’s your objective function. it’s what you want to maximize the constraints are: number of
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MC-B TOPIC; LINEAR PROGRAMMING DATE; 5 JUNE‚ 14 UNIVERSITY OF CENTRAL PUNJAB INTRODUCTION TO LINEAR PROGRAMMING Linear programming (LP; also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical
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RESEARCH: 343 1. LINEAR PROGRAMMING 2. INTEGER PROGRAMMING 3. GAMES Books: Ð3Ñ IntroÞ to OR ÐF.Hillier & J. LiebermanÑ; Ð33Ñ OR ÐH. TahaÑ; Ð333Ñ IntroÞ to Mathematical Prog ÐF.Hillier & J. LiebermanÑ; Ð3@Ñ IntroÞ to OR ÐJ.Eckert & M. KupferschmidÑÞ LP (2003) 2 LINEAR PROGRAMMING (LP) LP is an optimal decision making tool in which the objective is a linear function and the constraints on the decision problem are linear equalities and inequalities. It is a very popular decision support tool:
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Chapter 8 Linear Programming Applications To accompany Quantitative Analysis for Management‚ Eleventh Edition‚ Global Edition by Render‚ Stair‚ and Hanna Power Point slides created by Brian Peterson Copyright © 2012 Pearson Education 8-1 Learning Objectives After completing this chapter‚ students will be able to: 1. Model a wide variety of medium to large LP problems. 2. Understand major application areas‚ including marketing‚ production‚ labor scheduling‚ fuel blending‚ transportation‚ and
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form of the product-mix linear programming seeks to find the quantities of items in the product mix that maximizes profit in the presence of limited resources. -True Linear programming helps operations managers make decisions necessary to allocate resources. -True In linear programming‚ the unit profit or unit contribution associated with one decision variable can be affected by the quantity made of that variable or of any other variable in the problem. -False What combination of x and y
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Linear Programming History of linear programming goes back as far as 1940s. Main motivation for the need of linear programming goes back to the war time when they needed ways to solve many complex planning problems. The simplex method which is used to solve linear programming was developed by George B. Dantzig‚ in 1947. Dantzig‚ was one in who did a lot of work on linear programming‚ he was reconzied by several honours. Dantzig’s discovery was through his personal contribution‚ during WWII when Dantzig
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Cars and 1950’s: They Go Hand in Hand Cars‚ during the 1950’s this new invention was amazing‚ it was thought of as a thing of the future. Cars and new fangled inventions were all the rage. However people didnt quite see the bad side of the car industry.No technology has had a greater impact on American everyday life than the automobile. Where we live‚ how we work‚ how we travel‚ what our landscape looks like‚ our environment have all been profoundly shaped by the car. Detroit was at
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Unrest in the Arab World Will the United States be on the right side of history? The Right Side of History? The wave of demonstrations‚ uprisings and revolutions in North Africa and the Middle East has presented the United States with a complex set of diplomatic problems. While a key component of U.S. foreign policy is promoting and supporting democracy‚ it is vital to U.S. interests that the Middle East remains relatively stable. A truly democratic Arab world is a new concept‚ and
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are not allowed to carry anything other than stationary and calculator. 2. Answer all questions only in the space provided following the question. 3. Show all work and give adequate explanations to get full credit. 4. You may use the backside of the last page for rough work only if needed. Do NOT attach any rough work/sheets. 5. Encircle or underline your final answer for each part. 6. No clarifications will be made during the exam. 7. Assume 95% confidence level if necessary
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