A toy manufacturer produces toys in five locations throughout the country. Raw m

Question

A toy manufacturer produces toys in five locations throughout the country. Raw materials (primarily barrels of powdered plastic) will be shipped from a new, centralized warehouse whose location is to be determined. The monthly quantities to be shipped to each location are the same. A coordinate system has been established, and the coordinates of each location have been determined as shown. Determine the coordinates of the centralized warehouse. (Round and y to 1 decimal place.) Location (x,y) 2,7 10,2 6,6 4,1 6,5

Explanation / Answer

The coordinates of the centralized warehouse can be found out using the center of gravity method.

As the shipments to each of the locations are equal, the X and Y coordinate of the centralized warehouse is simply the average value of the X and Y coordinates of the 5 locations where toys are manufactured respectively.

Thus, the X coordinate of the centralized warehouse = (2 + 10 + 6 + 4 + 6) / 5

= 5.6

The Y coordinate of the centralized warehouse = (7 + 2 + 6 + 1 + 5) / 5

= 4.2

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