whereas each bracelet requires 2 ounces of gold and 5 ounces of platinum. The store has to use a minimum of two ounces of gold. The demand for bracelet is no less than three. A necklace earns $375 in profit and a bracelet‚ $225. Formulate a linear programming model for this problem with an appropriate objective function =number of necklaces to be made = number of bracelets to be made Maximize Profit (Z)= Subject to Maximum availability of gold Minimum usage quantity of gold Maximum availability
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performance of the system. Techniques and tools of operation research: Linear programming: You can use linear programming to find a solution for optimising a given objective. The objective may be to maximize profit or to minimize cost. Inventory control methods: The production‚ purchasing‚ and material managers are always confronted with questions‚ such as when To buy‚ and how much to keep in stock. Goal programming: In linear programming ‚ you take a single objective function and consider all other factors
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the current favorite cereal is 75 for each child. Formulate a linear programming model that can be used to determine the product design that will maximize the share of choices for the seven children in the sample. Determine the optimal solution. b. Assume the overall utility of the current favorite cereal for children 1-4 is 70‚ and the overall utility of the current favorite cereal for children 5-7 is 80. Modify the linear programming model used to determine the product design that will maximize
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Research Project Mathematical Programming Based Modeling For Supply Chain Management Control Muhammad Faisal Department of Engineering Management‚ Abasyn University‚ Islamabad‚ Pakistan. Abstract Economic globalization has forced and is still forcing enterprises to develop new global manufacturing and distribution concepts. A growing number of products are produced in multiple plants dispersed around the globe. This paper designs and discusses a mathematical model of international
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Each product requires 10 hours of processing time on line 1‚ while on line 2‚ product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit‚ and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis. 6) The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. The company has 80 hours of labor and 36 pounds of wood available
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| MERTON TRUCK | Memorandum To: President From: Date: ------------------------------------------------- Re: Merton Truck Company Introduction In response to your report and request regarding Merton’s financial performance and product mix‚ I have met with your controller‚ sales manager and production manager‚ and have provided a solution that will improve the company in these two areas. Using a systematic approach‚ I was able to analyze the current machine hours‚ standard costs‚ and
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CHAPTER 2 An Introduction to Linear Programming 21 KEY CONCEPTS ILLUSTRATED ANSWERED CONCEPT PROBLEMS PROBLEMS Formulation 7‚8 15‚16 Minimization 2‚5 9‚10‚15 Standard Form
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(units) 1 1500 2 1500 3 1000 Product Machine A B C 1 $1.00 $1.20 $0.90 2 $1.30 $1.40 $1.20 3 $1.10 $1.00 $1.20 Use the transportation model to develop the minimum-cost production schedule for the products and machines. Show the linear programming formulation. 2. Scott and Associates‚ Inc. is a consulting firm that has 4 new clients. Based on different background and experiences of the leaders‚ the various leader-client assignments differ in terms of projected completion times. The
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between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. A technician can contact on average 1.2 regular customers per hour and 1 new customer per hour. Develop a linear programming model that will enable HTS to allocate technician time between regular customers and new customers. Report the optimal solution. Management of High Tech Services (HTS) would like to develop a model that will help allocate its technician’s
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Research. Briefly explain the techniques and tools of Operations Research. Operations Research Methodology 10 Techniques and tools of Operations Research 2 Explain the steps involved in linear programming problem formulation with an example. Discuss in brief the advantages of linear programming. Q1 : Discuss the various stages involved in the methodology of Operations Research. Briefly explain the techniques and tools of Operations Research. 1. Operations Research Methodology 2. Techniques
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