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 to 1 decimal place and optimal points to the nearest whole number.)

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.

Explanation / Answer

Co-ordinates of centralized ware house are the one which are near to the mean value of co-ordinates.

So ,

mean x co-ordinate = [6+8+7+4+6]/5 = 31/5 = 6.2

mean y co-ordinate = [7+3+6+1+5]/5 = 22/5 = 4.4

therefore expected co-ordinates of centralization are = [6.2,4.4]

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