5 5 5 Compute: ATB(3 marks) tr (AB)(1 mark) (e) Determine if (2‚ -1) is in the set generated by = (3‚ 1)‚ (2‚ 2) (5 marks) Question Two (20 marks) Let T: R2 R2 be defined by T(x‚ y) = (x + y‚ x). Show that T is a linear transformation.(7 marks) Find the basis and dimension of the row space of the matrix.(6 marks) 2 -1 3 A= 1 1 5 -1 2 2 Compute A-1 using row reduction method.(7 marks) 1 4 3 A= -1 -2 0 2
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CH1 60. (p. 2) What are the three reasons negotiations occur? Negotiations occur for several reasons: (1) to agree on how to share or divide a limited resource‚ such as land‚ or property‚ or time; (2) to create something new that neither party could do on his or her own‚ or (3) to resolve a problem or dispute between the parties. 70. (p. 15) Describe the strategies and tactics a negotiator would employ in a distributive bargaining situation. In distributive situations negotiators are motivated
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Optimization is the problem of finding the best feasible solution to the problem. Optimization in healthcare is in the industry from past three decades. But now-a-days optimizations in healthcare have become noticeably and is attracting operation researchers because of the decreasing birth rates in nearly all the developed countries. Optimization has been applied in healthcare for various problems from operational level decisions to the designing of national healthcare policies. This case study
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Introduction Markowitz (1952‚ 1956) pioneered the development of a quantitative method that takes the diversification benefits of portfolio allocation into account. Modern portfolio theory is the result of his work on portfolio optimization. Ideally‚ in a mean-variance optimization model‚ the complete investment opportunity set‚ i.e. all assets‚ should be considered simultaneously. However‚ in practice‚ most investors distinguish between different asset classes within their portfolio-allocation frameworks
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Portfolio Optimization A Selection of Stocks from the Heng Seng Index 17 August 2012 Introduction A typical investor purchases an asset with the hope that it will generate income or appreciate in the future. Given the plethora of choices in the market‚ a rational investor would choose an investment with the highest expected return. The Hong Kong Stock Exchange is the sixth largest stock exchange in the world with 1‚477 listed companies and a combined market capitalization of HKD 17 trillion
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Management World and European economy The role of logistics and transportation sector Authors: 2011 CULS TABLE OF CONTENTS Introduction 1. Logistics and transportation in global and individual economies 1.1 Major channel drivers 1.2 Competitive global marketplace of logistics and transportation 2. Logistics contribution to the economy 2.1 The close relationship between economic growth and logistics 3. Logistics and internationalization Conclusion Introduction With
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time 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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By Hossam El- Deen Mustafa Dawood Under the supervision of Dr. Amr Elsaeed Third Party Logistics ( 3PL ) 3PL stands for a third-party logistics provider. This is a company that provides third-party (or outsourced) logistics services for the partial or complete functions of their supply chain management. These types of logistics providers usually specialize in transportation‚ warehousing or integrated operation services that are able to be customized and scaled to the requirements of
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outsourcing to keep up. Currently‚ we outsource only coarse and medium-sized yarn‚ but we believe that it would be more efficient to look at outsourcing all types. There are so many potential suppliers and constraints to consider that we constructed a linear programming model to identify our best option and check our solution’s sensitivity to changes in our situation. We’ve analyzed our potential suppliers for each gauge‚ taking into account their capacity‚ cost of production for each plant‚ and transportation
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the diet plan: The chicken food type should contribute at most 25% of the total calories intake that will result from the diet plan. The vegetable food type should provide at least 30% of the minimum daily requirements for vitamins. Provide a linear programming formulation for the above case. (No need to solve the problem.) Element | Milk | Chicken | Bread | Vegetables | Calories (X1) | 160 | 25% * 210 | 120 | 150 | Carbohydrates (X2) | 110 | 130 | 110 | 120 | Protein (X3) | 90 | 190
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