13.07.2022 - 04:51

The main post office in Ann Arbor, MI is due to be replaced with a much larger, more modern facility that can handle the tremendous flow of mail that has followed the city’s growth since 1970. Since a

Question:

The main post office in Ann Arbor, MI is due to be replaced with a much larger, more modern facility that can handle the tremendous flow of mail that has followed the city’s growth since 1970. Since all mail, incoming or outgoing, travels from the 3 regional post offices through the main post office, its site selection can mean a big difference in overall delivery and movement efficiency. Using the data in the following table, determine the map coordinates for the proposed new facility.

Regional Post Office Map Coordinates (x,y) Truck Round Trips per Day
Chelsea (10,11) 3
Ypsilanti (18,8) 8
Jackson (4,7) 2
  • a) None of the above/below
  • b) x=2.5, y=1.5
  • c) x=1.5, y=2.5
  • d) x=14, y=7.1
  • e) x=9.1, y=14
Answers (1)
  • Alleyne
    April 2, 2023 в 08:27
    The correct answer is d) x=14, y=7.1. To determine the map coordinates for the proposed new facility, we can use the method of center gravity. This involves finding the weighted average of the locations of the three regional post offices, where the weights are given by the number of truck round trips per day. To calculate the x-coordinate, we can take the weighted average of the x-coordinates: x = (10*3 + 18*8 + 4*2) / (3+8+2) = 14 To calculate the y-coordinate, we can take the weighted average of the y-coordinates: y = (11*3 + 8*8 + 7*2) / (3+8+2) = 7.1 Therefore, the map coordinates for the proposed new facility are x=14, y=7.1.
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