TRANSPORTATION ALGORITHM

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Presentation transcript:

TRANSPORTATION ALGORITHM STRATEGIC RESOURCE ALLOCATION and PLANNING MGMT E-5050 Finnish Furniture TRANSPORTATION ALGORITHM Homework Solution

Finnish Furniture Finnish Furniture manufactures tables in facilities located in 3 cities - Reno, Denver, and Pittsburgh. The tables are then shipped to 3 retail stores loca- ted in Phoenix, Cleveland, and Chicago. Management wishes to develop a distribution sche- dule that will meet the demands at the lowest possi- ble cost. The shipping cost per unit from each of the sources to each of the destinations is shown in the following table:

Finnish Furniture from / to Phoenix Cleveland Chicago Reno 10 16 19 Denver 12 14 13 Pittsburgh 18 The available supplies are: 120 units from Reno 200 units from Denver 160 units from Pittsburgh The store demands are; 140 units from Phoenix 160 units from Cleveland 180 units from Chicago REQUIREMENT: How many units should be shipped from each facility to each of the retail stores if cost is to be minimized? 2. What is the total cost?

Finnish Furniture Finnish Furniture has experienced a decrease in the demand for tables in Chicago; demand has fallen to 150 units. REQUIREMENT: What special condition would exist? What is the minimum cost solution? Will there be any units remaining at any of the manufacturing facilities?