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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?

A. 5,5
B. 6,4
C. 4,6
D. 6,2
E. 5,4

Respuesta :

Answer: D. 6, 2

Explanation:

The reason why the fabric plant needs to be built in 6 ,2 is because it is the only one closet to the other plant. For example if you built a plant in 6, 2 you would be right next to the 7,2 plant. It is on the same y-axis. This would be optimal because the fabric would be delivered quickly and less costly.

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