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Locating the position of hub

The following table gives the map coordinates and the shipping loads for a set for a set of cities that we wish to connect through a central hub. Near which map coordinates should the hub be located?

City Map Coordinate (x,y) Shipping Load

A (5,10) 5
B (6,8) 10
C (4,9) 15
D (9,5) 5
E (7,9) 15
F (3,2) 10
G (2,6) 5

Solution Preview

Please refer attached file for complete solution and better clarity of tables. Formulas typed with the help of equation writer are missing here.

Solution

City X-cordinate y--cordinate Shipping load
dix diy Qi ...

Solution Summary

Solution explains the steps to find out the map co-ordinates of the location where hub should be located by centre of gravity method.

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