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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applied across a wide range of development environments and throughout the life of a development project‚ from early requirements definition to full operational use. Other business measures‚ such as the productivity of the development process and the cost per unit to support the software‚ can also be
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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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spreadsheet‚ next step is to use the Solver to find the solution. In the Solver‚ we need to identify the locations (cells) of objective function‚ decision variables‚ nature of the objective function (maximize/minimize) and constraints. Example One (Linear model): Investment Problem Our first example illustrates how to allocate money to different bonds to maximize the total return (Ragsdale 2011‚ p. 121). A trust office at the Blacksburg National Bank needs to determine how to invest $100‚000 in following
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(2003) 1 OPERATIONS RESEARCH: 343 1. LINEAR PROGRAMMING 2. INTEGER PROGRAMMING 3. GAMES Books: Ð3Ñ IntroÞ to OR ÐF.Hillier & J. LiebermanÑ; Ð33Ñ OR ÐH. TahaÑ; Ð333Ñ IntroÞ to Mathematical Prog ÐF.Hillier & J. LiebermanÑ; Ð3@Ñ IntroÞ to OR ÐJ.Eckert & M. KupferschmidÑÞ LP (2003) 2 LINEAR PROGRAMMING (LP) LP is an optimal decision making tool in which the objective is a linear function and the constraints on the decision problem are linear equalities and inequalities. It is a very popular
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Regular Mix Deluxe Mix Holding Mix Almond 15% 20% 25% Brazil 25% 20% 15% Filbert 25% 20% 15% Pecan 10% 20% 25% Walnut 25% 20% 20% TJ’s has just purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Cost per Shipments($) Amount(Pounds) Almond 6000 7500 I I Brazil 7500 7125 Filbert 6750 7500 Pecan 6000 7200 7875 Walnut 7500 I 1 The ~ r o f icontribution Der Pound and Customer orders are: t Profit contribution per Pound Customer Orders (Pounds)
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California. Manufacturing costs differ between the company’s production plants. The cost of each meter produced at the EI Paso plant is $10.50. The San Bernardino plant 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
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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 him/her
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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 on keeping costs low. He developed strong reciprocal relationships with his suppliers‚ such that they could be assured he would purchase whatever they produced. IKEA’s culture has evolved step-by-step and is seen by those within IKEA as being the cornerstone of its
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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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