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Locating the position of hub

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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

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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.

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 provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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