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: 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?

Answer 1

(6,4)

Step-by-step explanation:

The computation of optimal location for the fabric plant is shown below:-

X Y

A 7 2

B 4 7

C 5 5

D 6 2

E 8 4

Total 30 20

`\bar X = (Total\ of\ X)/(Total\ number\ of\ locations)`

`\bar X = (30)/(5)`

= 6

`\bar Y = (Total\ of\ Y)/(Total\ number\ of\ locations)`

`\bar Y = (20)/(5)`

= 4

So, the optimal location for the fabric plant is (6,4)