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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TOPIC – LINEAR PROGRAMMING Linear Programming is a mathematical procedure for determining optimal allocation of scarce resources. Requirements of Linear Programming • all problems seek to maximize or minimize some quantity • The presence of restrictions or constraints • There must be alternative courses of action • The objective and constraints in linear programming must be expressed in terms of linear equations or inequalities Objective
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with the question paper. Question 1 (15 points) Software effort estimation‚ measured in number of hours required to develop software‚ is an important activity associated with any software development company. It is used for investment planning and pricing of the software development. One approach usually used for software effort estimation is through Function Point Analysis (FPA). First made public by Allan Albrecht of IBM in 1979‚ the FPA technique quantifies the functions
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from another mill. Fabrics that cannot be woven at the Southern Mill because of limited loom capacity will be purchased from another mill. The purchase price of each fabric is also shown in Table 1. MANAGERIAL REPORT I. - Develop a Linear Programming Model that can be used to schedule production for the Southern Textile Mill‚ and at the same time to determine how many yards of each fabric must be purchased from another mill. The model should be clear and complete.
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use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 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
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(2003) 1 OPERATIONS 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
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King Fahd University of Petroleum & Minerals College of Industrial Management Second semester (052) 2005-2006 CASE PROBLEM ( PRODUCT MIX) Prepared for DR Taqi Al-Faraj Group J 225742 Bara’a Al-Jumbaz 4 226352 Mwuaffag Baswaid Ahmad Al-Abdul Muney" 205943 30 May 2006 Case Problem PRODUCT MIX Background: TJ’s Inc.‚ makes 3 nut mixes for sale to grocery chains located in the Southeast. The three mixes are: Regular Mix‚ Deluxe Mix and Holding Mix. They are made by mixing different percentages
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utilizes newerand more efficient equipment; as a result‚ manufacturing costs are $0.50 per meter less thanat the EI Paso plant. Due to the company’s rapid growth‚ not much attention had been paid to the efficiency of its supply chain‚ but Darby’s management decided that it is time to address this issue. The cost of shipping a meter from each of the two plants to each of the three distribution centers is shown in Table 10.10. The quarterly production capacity is 30‚000 meters at the older EI Paso
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SMEToolKit.org [pic]Linear programming is very important in various fields of life especially in managerial decision making. The reason is that it helps the company in minimizing the costs and maximizing the profits. Through linear programming managers can calculate the prices and the sales units which can maximize the profits of the company. Therefore‚ there are various issues which the company incurs regarding their costs and prices therefore‚ tools like linear programming can help the managers
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