Question: Consider a problem of locating a central empty container depot in a region with the existing demand (importer-exporter) coordinates and corresponding density weights as given
Consider a problem of locating a central empty container depot in a region with the existing demand (importer-exporter) coordinates and corresponding density weights as given in table. The region is divided into 7 smaller areas where demand is concentrated and considered to be at one point in each region.
| Region | X | Y | Annual Load |
| 1 | 15 | 25 | 425 |
| 2 | 25 | 50 | 155 |
| 3 | 60 | 75 | 175 |
| 4 | 40 | 35 | 200 |
| 5 | 50 | 45 | 320 |
| 6 | 35 | 45 | 180 |
| 7 | 25 | 10 | 195 |
Using a simple median approach, locate the (x, y) coordinates for the required depot to be located in the region.
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