only problem 7

Discussion Questions 9-1 In facility location problems, how many transporta- tion models need to be developed to determine the best location of a new production facility? 9-2 Explain how to determine the number of variables and constraints in a transportation problem when only the number of sources and the number of desti- nations are known. 9-3 In assignment problems, why are variables always Oor 1? 9.4 If a transportation problem has nine variables, how many sources are being considered? 9.5 What kind of problems can be solved with the minimal-spanning tree model? 9-6 Describe a business operation problem that can be modelled as a transhipment problem Problems* 9-7 The management of the Executive Furniture Corpo ration decided to expand the production capacity at its Des Moines factory and to cut back the produc- tion capacities at its other two factories. It also rec- ognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse Find the least-cost way to meet the requirements given the capacity at cach factory. 9-8 The Hardrock Concrete Company has plants in three locations and is currently working on three major construction projects, each located at a different site. The shipping cost per truckload of concrete, daily TO FROM DES MOINES EVANSVILLE FORT LAUDERDALE REQUIREMENTS ALBUQUERQUE BOSTON CLEVELAND CAPACITY S5 S4 $3 300 S8 S4 $3 150 $9 S7 SS 250 200 200 300 Discussion Questions 9-1 In facility location problems, how many transporta- tion models need to be developed to determine the best location of a new production facility? 9-2 Explain how to determine the number of variables and constraints in a transportation problem when only the number of sources and the number of desti- nations are known. 9-3 In assignment problems, why are variables always Oor 1? 9.4 If a transportation problem has nine variables, how many sources are being considered? 9.5 What kind of problems can be solved with the minimal-spanning tree model? 9-6 Describe a business operation problem that can be modelled as a transhipment problem Problems* 9-7 The management of the Executive Furniture Corpo ration decided to expand the production capacity at its Des Moines factory and to cut back the produc- tion capacities at its other two factories. It also rec- ognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse Find the least-cost way to meet the requirements given the capacity at cach factory. 9-8 The Hardrock Concrete Company has plants in three locations and is currently working on three major construction projects, each located at a different site. The shipping cost per truckload of concrete, daily TO FROM DES MOINES EVANSVILLE FORT LAUDERDALE REQUIREMENTS ALBUQUERQUE BOSTON CLEVELAND CAPACITY S5 S4 $3 300 S8 S4 $3 150 $9 S7 SS 250 200 200 300