Question

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?

Answer 1

D) 5.6 , 4.4

Step-by-step explanation:

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

we have to calculate the weighted average values for x and y to determine the optimal location of the new fabric production plant:

units weight weighted x weighted y

plant A 200 0.143 1.001 0.286

plant B 400 0.286 1.144 2.002

plant C 300 0.214 1.07 1.07

plant D 300 0.214 1.284 0.428

plant E 200 0.143 1.144 0.572

total 1,400 1 5.643 4.358