A larger and more modern main post office is to be constructedat a new location in? Davis, California. Growing suburbs caused ashift in the population density from where it was 40 years? ago,when the current facility was built. Annette? Werk, the?postmaster, asked her assistants to draw a grid map of the sevenpoints where mail is picked up and delivered in bulk. Thecoordinates and trips per day to and from the seven mail sourcepoints and the current main post? office, M, are shown in thefollowing table. M will continue to act as a mail source pointafter relocation.??
Mail Source Point | Round trips per day | ?x, y, Coordinates? (miles) |
1 | 4 | ?(7?, 2?) |
2 | 2 | ?(3?, 8) |
3 | 2 | ?(18?, 14) |
4 | 13 | ?(9?, 8) |
5 | 6 | ?(13?, 9?) |
6 | 5 | ?(16?, 6?) |
7 | 7 | ?(8, 11) |
M | 8 | ?(12?, 12) |
a. Calculate the center of gravity as apossible location for the new facility. ?(Enter your responsesrounded to the nearest whole? number.)
The center of gravity? "X" coordinate? =
The center of gravity? "Y" coordinate? =
b. Compare the? load-distance scores for thelocation in part? (a) and the current? location, using rectilineardistance. ?(Round all intermediate calculations to the nearestwhole? number.)
The? load-distance score to? "M" is
? (Enter your response as an? integer.)
The? load-distance score to the center of gravity is
?(Enter your response rounded to the nearest whole?number.)
