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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

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 that will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows, shipment to each plant is also included:

Plant Location (X,Y) Shipment
A (7, 2) 200
B (4, 7) 400
C (5, 5) 300
D (6, 2) 300
E (8, 4) 200

What is the optimal location for the fabric plant?

A.) 6.2, 3.0

B.)6.0, 4.0

C.)6.5, 5.3

D.) 5.6, 4.4

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