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
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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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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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LP (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
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going beyond email: How to Master Marketing Automation ; The Advanced Guide to Optimizing Your Marketing Funnel with Lead Nurturing A publication of 2 GOING BEYOND EMAIL: HOW TO MASTER MARKETING AUTOMATION 3 GOING BEYOND EMAIL: HOW TO MASTER MARKETING AUTOMATION IS THIS BOOK RIGHT FOR ME? Not quite sure if this ebook is right for you? See the below description to determine if your level matches the content you are about to read. INTRODUCTORY Introductory
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customer base throughout Texas. A distribution center was established in Fort Worth‚ Texas‚ and later‚ as business expanded‚ a second distribution center was established in Santa Fe‚ New Mexico. The EI Paso plant was expanded when the company began marketing its meters in Arizona‚ California‚ Nevada‚ and Utah. With the growth of the West Coast business‚ the Darby Company opened a third distribution center in Las Vegas and just two years ago openeda second production plant in San Bernardino‚ California
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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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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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Phoenix Computer 1. The incremental salary and training cost associated with hiring a new employee and training him/her to be laptop specialist. * Annual salary for new employee = $27‚000 * Cost for three month training program = $1‚500 per person * New employee undergoes three month training $27‚000/12 = $2‚250 $2‚250*3 months = $6‚750 $6‚750 + $1‚500 =$8‚250 per person The incremental salary and training cost associated with hiring a new employee and training
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DQ 17 A 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
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