Question;MAT540;Week;9 Homework;Chapter 5;6.;The Livewright Medical Supplies Company has a total of 12 salespeople it;wants to assign to three regions ? the South, the East, and the Midwest. A;salesperson in the South earns $600 in profit per month of the company, a;salesperson in the East earns $540, and a salesperson in the Midwest earns $375.;The southern region can have a maximum assignment of 5 salespeople. The company has a total of $750 per day;available for expenses for all 12 salespeople.;A salesperson in the South has average expenses of $80 per day, a;salesperson in the East has average expenses of $70 per day, and a salesperson;in the Midwest has average daily expenses of $50. The company wants to determine the number of;salespeople to assign to each region to maximize profit.;a.;Formulate an integer programming model for this problem;b.;Solve this model by using the computer.;10.;Solve the following mixed integer linear programming model by using the;computer;Maximize Z = 5 x1 + 6 x2 + 4;x3;Subject to;5 x1 + 3 x2 + 6 x3;? 20;x1 + 3 x2? 12;x1, x3? 0;x2;? 0 and integer;14.;The Texas Consolidated;Electronics Company is contemplating a;research and development program encompassing eight research projects. The company is constrained from embarking on;all projects by the number of available management scientists (40) and the;budget available for R&D projects ($300,000). Further, if project 2 is selected, project 5;must also be selected (but not vice versa).;Following are the resource requirements and the estimated profit for;each project.;Project;Expense ($1,000s);Management Scientists required;Estimated;Profit;(1,000,000s);1;$ 60;7;$0.36;2;110;9;0.82;3;53;8;0.29;4;47;4;0.16;5;92;7;0.56;6;85;6;0.61;7;73;8;0.48;8;65;5;0.41;Formulate the;integer programming model for this problem and solve it using the computer.;20.;During the war with Iraq in;1991, the Terraco Motor Company produced a lightweight, all-terrain vehicle;code-named ?J99-Terra? for the military.;The company is now planning to sell the Terra to the public. It has five plants that manufacture the;vehicle and four regional distribution centers.;The company is unsure of public demand for the Terra, so it is considering;reducing its fixed operating costs by closing one or more plants, even though;it would incur an increase in transportation costs. The relevant costs for the problem are;provided in the following table. The;transportation costs are per thousand vehicles shipped, for example, the cost of shipping 1,000 vehicles;from plant 1 to warehouse C is $32,000.;From Plant;Transportation Costs ($1000s);to Warehouse;Annual Production Capacity;Annual Fixed Operating Costs;A;B;C;D;1;$56;$21;$32;$65;12,000;$2,100,000;2;18;46;7;35;18,000;850,000;3;12;71;41;52;14,000;1,800,000;4;30;24;61;28;10,000;1,100,000;5;45;50;26;31;16,000;900,000;Annual;Demand;6,000;14,000;8,000;10,000;Formulate and solve an integer;programming model for this problem to assist the company in determining which;plants should remain open and which should be closed and the number of vehicles;that should be shipped from each plan to each warehouse to minimize total cost.
Paper#60682 | Written in 18-Jul-2015Price : $36