A manufacturer of stamped metal auto parts has four parts factories in one city at the location coordinates shown below. Each coordinate unit represents a city block (roughly 100 meters). The yearly demand at each factory is also given
Factories Demand X-Coord. Y-Coord.
Rayburn Industrial Park 19,000 20 130
Port of Zavalla 3,000 60 40
Henderson Mfg. Center 5,000 70 100
Wax Mills Site 6,000 90 30
Management has decided to build a new sheet metal mill, to supply these factories, at a location central to these plants. What should be the map coordinates of the new plant?
The mill should be located near (44, 99 ).
Sheet Metal Mill Solution
Weighted # trips x-coord y-coord X multiplied Y multiplied
Rayburn 19. 20. 130. 380. 2,470.
Zavalla 3. 60. 40. 180. 120.
Henderson 5. 70. 100. 350. 500.
Wax MIlls 6. 90. 30. 540. 180.
Total 33. 240. 300. 1,450. 3,270.
Average 60. 75.
Weighted Average 43.9394. 99.0909.
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