A pizza delivery service has decided to open a branch near off-campus student housing. The project manager has identified five student apartment complexes in the northwest area of the city, the locations of which, on an xy coordinate grid in miles, are C1=(1,2), C2=(2,6), C3=(3,3), C4=(4,1), and C5=(5,4). The expected demand is weighted as w1=5, w2=4, w3=3, w4=1, and w5=5. Using the metropolitan metric, recommend a location for the pizza branch that will minimize the total distance travelled.