The factory building is essentially a square shape, with no walls or obstructions within the building itself. The supervisor has measured the distance for each of the 4 production lines by measuring from a fixed point, which is from the southwest most corner of the building. The supervisor has converted the measurements into an xy coordinate system, whereby x represents the number meters to the east, and y represents the number meters to the north. The table below shows the location of each of the production line in terms of those coordinates, along with the number of inspection checks the supervisor has to perform for each line. Using the same x,y (east, north) method, calculate where the supervisor should relocate his office within the building? Please your work. Meters Meters Number of Production East ('x') North ('y') Inspections Line 1 3 11 12 2 8 17 18 3 16 5 15 4 10 8 15