Centre of Gravity-Class Exercise The following table gives the map co-ordinates and shipping loads for some local cities. We wish to build a new warehouse in a central location in order to minimize transportation costs. At what co-ordinates should this warehouse be located? Map Co-ordinates (x, y) Number of truckloads (6.0, 3.0) (9.0, 10.0) (6.0, 1.8) (2.0, 0.8) (0.9, 0.5) (1.2, 4.0) (1.8, 2.8) City Brampton Barrie Mississauga Oakville Hamilton Guelph Milton 9 10 15 6 18 12 8

The following table gives the map co-ordinates and shipping loads for some local cities. We wish to build a new warehouse in a central location in order to minimize transportation costs. At what co-ordinates should this warehouse be located