Problem 8-12 A toy manufacturer produces toys in five locations throughout the c
ID: 348848 • Letter: P
Question
Problem 8-12 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 8,3 6, 6 4,1 9,B x=Explanation / Answer
centralized coordinates
= Sum of product of each coordinates with their respective quantities / Sum of quantities
Since quantities to be shipped are same, we assume quantities to be 1
So, centralized coordinates for x coordinate
= (2 x 1 + 8 x 1 + 6 x 1 + 4 x 1 + 9 x 1) / (1 + 1 + 1 + 1 + 1)
= 29 / 5
= 5.8
centralized coordinates for y coordinate
= (7 x 1 + 3 x 1 + 6 x 1 + 1 x 1 + 8 x 1) / (1 + 1 + 1 + 1 + 1)
= 25 / 5
= 5