Answer:
7.139
Explanation:
From the given information:
By using the center of gravity method, we can calculate the optimal x-coordinate.
The center of gravity technique evaluates existing facilities, the distances and the length between them, and the amounts of products to be shipped when citing single facilities.
Center of gravity method can be expressed as:
[tex]X - coordinate = \dfrac{\sum X \times W}{\sum W}[/tex]
[tex]\implies \dfrac{(8 \times 100)+(2\times 220) + ( 6\times 80)+(4 \times 180) +(12\times 350)}{100+220+80+180+350}[/tex]
[tex]\implies \dfrac{(800)+(440) + ( 480)+(720) +(4200)}{930}[/tex]
[tex]\implies \dfrac{6640}{930}[/tex]
=7.139
