Z00_REND1011_11_SE_MOD7 PP2.QXD 2/21/11 12:39 PM Page 1 7 MODULE Linear Programming: The Simplex Method LEARNING OBJECTIVES After completing this chapter‚ students will be able to: 1. Convert LP constraints to equalities with slack‚ surplus‚ and artificial variables. 2. Set up and solve LP problems with simplex tableaus. 3. Interpret the meaning of every number in a simplex tableau. 4. Recognize special cases such as infeasibility‚ unboundedness and degeneracy. 5. Use the simplex
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spreadsheet modeling and Solver to find the optimal solution of optimization problems. If the model has two variables‚ the graphical method can be used to solve the model. Very few real world problems involve only two variables. For problems with more than two variables‚ we need to use complex techniques and tedious calculations to find the optimal solution. The spreadsheet and solver approach makes solving optimization problems a fairly simple task and it is more useful for students who do not have
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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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DUE: OCTOBER 16‚ 2014 CASE PROBLEM The Southern Textile Mill produces 5 different fabrics. Each fabric can be woven on one or more of the mill’s 38 looms. The sales department’s forecast of demand for the next month is shown in Table 1 along with data on the selling price per yard‚ variable cost per yard‚ and purchase price per yard. The mill operates 24 hours a day and is scheduled for 30 days during the coming month. Fabric Demand Selling Price Variable Cost Purchase Price (yards)
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PROBLEM NUMBER 1 A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5‚000 for every acre he plants with wheat and $3‚000 for every acre he plants with barley. His 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
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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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QUANTITATIVE METHODS II Mid-Term Examination Monday‚ October22‚ 2012 Time : 150 minutes Total No. of Pages :17 Name ________________________ Total No. of Questions: 3 Roll No. ________________________ Total marks:35 Section: _______________________ Instructions 1. This is a Closed Book Exam. You are not allowed to carry anything other than stationary and calculator. 2. Answer all questions only in the space provided following the question. 3.
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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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Case Study 6 IKEA: Culture as competitive advantage Suggested case discussion questions Q1 Explain how IKEA’s culture contributed to its early expansion efforts IKEA’s culture is encapsulated in the expression the “IKEA-way.” This is the philosophy Ingvar Kamprad formed during the early years of IKEA and drove its expansion efforts. His non-conformist ways gave him freedom to focus and innovate on all facets of distribution. His obsession with low prices‚ led to an unwavering focus
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common 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
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