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Question 8 1 pts You are setting up a used clothing charity redistribution servi

ID: 378417 • Letter: Q

Question

Question 8 1 pts You are setting up a used clothing charity redistribution service for central Pennsylvania and are trying to determine where to locate your distribution facility. The operation will receive clothing from donors, store the items for up to two weeks, and repackage the different items to make deliveries to shelters. The number of beneficiaries is based on a census of maximum shelter population and is given in the table below: Beneficiaries 126 249 156 305 250 Location X-Coordinate Y-Coordinate 4 3.7 6.9 6 2.7 2.5 1 4.2 2 3.1 Near coordinates X = 4.6, Y = 4.2 Near coordinates X = 4.2, Y 4.6 Near coordinates X 3.6, Y 4.5 Near coordinates X = 4.6, Y = 2.4 Near coordinates X = 2.4, Y = 4.6

Explanation / Answer

Hence, to calculate the location of distribution facility :

X-Coordinate = XABA + XBBB + XCBC + XDBD + XEBE / BA + BB + BC + BD + BE

= 4(126) + 3.7(249) + 6.9(156) + 6(305) + 2.7(250) / (126 + 249 + 156 + 305 + 250)

= 5006.7/1086 = 4.61 ~ 4.6

Y-Coordinate = YABA + YBBB + YCBC + YDBD + YEBE / BA + BB + BC + BD + BE

= 2.5(126) + 1(249) + 4.2(156) + 2(305) + 3.1(250) / (126 + 249 + 156 + 305 + 250)

= 2604.2/1086 = 2.39 ~ 2.4

Hence, the answer is Near coordinates X = 4.6, Y = 2.4

Location X Coordinate Y Coordinate Beneficiaries(B) A 4 2.5 126 B 3.7 1 249 C 6.9 4.2 156 D 6 2 305 E 2.7 3.1 250
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