Question

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:

Location (X,Y)
A 7,2
B 4,7
C 5,5
D 2,2
E 9,4
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 of X for the fabric plant?

Answer 1

The optimal location of X for the fabric plant is 4.9

Step-by-step explanation:

X Y W X.W Y.W

A 7 2 200 1400 400

B 4 7 400 1600 2800

C 5 5 300 1500 1500

D 2 2 300 600 600

E 9 4 200 1800 800

Total = 1,400 6,900 6,100

X= 6,900 / 1,400 = 4.9

Y= 6,100 / 1,400 = 4.4