Gamma Distribution is building a new distribution center to supply five of its regional warehouses. These warehouses are located in cities in the eastern portion of the United States, which Gamma has gridded to obtain the following coordinates: 

Questions 

1. Temporarily assume that Gamma Distribution will always ship identical amounts to each of the five regional warehouses. What are the coordinates of the best location for its new distribution center?

2. Now recognize that Gamma Distribution will be shipping differing amounts to the warehouses, as indicted by the data in the right-hand column of the table. What are the coordinates of the best location for its new distribution center?

3. Location planners at Gamma have just learned that senior management intends to sell the regional warehouse in Cleveland, because the land has become quite valu- able. As a result, the monthly shipping volume that formally went to Cleveland will be split evenly among the four remaining regional warehouses. Now what are the coordinates of the best location for Gamma's new distribution center?

Transcribed Image Text:

Regional Warehouse X-Coordinate Y-Coordinate Monthly Shipment Volume (tons) 2,000 Buffalo Cleveland Atlanta Baltimore Raleigh 52097 16 13 1,000 0 6,000 11 500 7 5 500