The Combamere School district is considering a new location for its main office which it has determined must be located at an existing school for cost reasons. There are presently five schools within the district. The locations and size of the schools have been recorded and provided in the table below.
i. Calculate the total number of students within the school district.
ii. Using the center-of-gravity method, determine at which school the central office should be placed in order minimize the average distance between the office and students.
Location (X,Y) Size (Enrollment)
A (5,5) 2500
B (0,5) 1000
C (0,0) 10,000
D (5,0) 4500
E (2,1) 7500