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A manufacturer of oak barrels has factories in an area at the location coordinates provided in the following table. Each coordinate unit represents approximately 10 miles. The yearly demand at each factory is also given.
Factory
Demand
X-Coordinate
Y-Coordinate
Manchester
14,000
80
60
Fayetteville
17,000
10
Columbia
5,000
30
90
Lawrenceburg
3,000
20
Management has decided to build a new factory to supply raw material to these factories. The location of the new factory should be central to the existing factories.
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