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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?

Respuesta :

Answer:

(6,4)

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

[tex]\bar X = \frac{Total\ of\ X}{Total\ number\ of\ locations}[/tex]

[tex]\bar X = \frac{30}{5}[/tex]

= 6

[tex]\bar Y = \frac{Total\ of\ Y}{Total\ number\ of\ locations}[/tex]

[tex]\bar Y = \frac{20}{5}[/tex]

= 4

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

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