A larger and more modem main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift 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 seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, ate shown in the following table. M will continue to act as a mail source point after relocation.

a. Calculate the center of gravity as a possible location for the new facility (round to the nearest whole number).

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b. Compare the load-distance scores for the location in part (a) and the current location, using rectilineardistance.

Mail Source Round Trips Per y Coordinates miles) Point Day (2,8) (8, 5) (13, 3) 15, 10) (6, 14 (10, 3)