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A clothing manufacturer produces clothing in five locations in the U. S. In a move to vertical integration, the company is planning a new fabric production plant which will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows: Location (X,Y) A 7,2 B 4,7 C 5,5 D 6,2 E 8,4 If the amount of fabric shipped to each plant are equal, what is the optimal location for the fabric plant?

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Answer:

The optimal location is E) 8,4, because when you graph the five locations on the coordinate system, E) would be located almost in the middle of the other four locations. This means that if plant was placed in E, it would be equidistant from the other four, which is what the clothing manufacturer needs.

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