Local University in Problem S7-3 is attempting to locate the best site for a new student center and athletic complex. The university administration would like to know what the best location is relative to the four main concentrations of student housing and classroom activity on campus. The coordinates of these housing and classroom areas (in meters) and daily student populations are shown below.

Determine the best site using the center of gravity method.

Problem S7-3

Local University is going to construct a new student center and athletic complex that will include a bookstore, post office, theaters, market, mini-mall, meeting rooms, swimming pool, and weight and exercise rooms. The university administration has hired a site selection specialist to identify the best potential sites on campus for the new facility. The site specialist has identified four sites and has rated the important location factors for each site as follows.

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Campus Student Concentrations Derring Laurier Anderson Dorm Ball Housing Classroom Classroom Complex Complex Complex Complex X, = 1000 X, = 1500 Xc = 2000 X, = 32 Y. = 700 Y, = 2700 YA = 1250 Yp = 25 Wp = 4300 W, = 7000 W = 9000 Wc= 11,500 %3D Scores (0 to 100) Location Factor Weight South West A West B East Proximity to 0.23 70 90 65 80 housing Student traffic 0.22 75 80 60 85 Parking 0.16 90 60 80 70 availability Plot size, terrain 0.12 80 70 90 65 Infrastructure 0.10 50 60 40 Off-campus 0.06 90 70 70 70 accessibility Proximity to 0.05 80 70 80 dining facilities Visitor traffic 0.04 70 80 65 55 Landscape/ 0.02 50 40 60 70 aesthetics