A Clothing Manufacturer Produces Clothing in Five Locations in the United

A clothing manufacturer produces clothing in five locations in the United States. 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

Shipments of fabric to each plant vary per week as follows: plant A, 200 units; plant B, 400 units; plant C, 300 units; plant D, 300 units; and plant E, 200 units. 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
E) 5.0, 3.0