E-Me, a chain of personal electronics superstores, distributes merchandise to its 300 retail outlets from five regional warehouses. E-Me wants to locate a new central distribution center that would supply each of these five regional warehouses. E-Me has determined these coordinates of each regional warehouse:

a. Assuming that the amount of merchandise shipped from the new distribution center to each regional warehouse is equal, what should be the coordinates of the new distribution center?

b. Now assume that E-Me has provided the following additional information: 50 tons of personal electronics will be shipped to regional warehouse A annu- ally, 100 tons will be shipped to regional warehouse B, 100 tons will be shipped to regional warehouse C, 200 tons will be shipped to regional warehouse D, and 400 tons will be shipped to regional warehouse E. What should be the coordi- nates of the new distribution center?

c. Unfortunately, regional warehouse E has just burned down, and E-me does not plan to replace it. Rather, E-me will split the merchandise formally shipped to warehouse E equally among the remaining four warehouse locations. Given this new four-warehouse system, what should be the coordinates of the new distribu- tion center?

Transcribed Image Text:

Warehouse x Y A B 2 -8 C 0 72- 1 D E 25 2 6 -4