Question - La Boulangerie Chocolaterie is looking to establish a distribution centre in the City of Vancouver to service its four mall retail locations. Location scouts have plotted the mall locations on a 10 x 10 grid overlying the city. The following information represents each mall's xy grid coordinates and the weight attached to each mall, representing the total number of deliveries per month.
Location Coordinates Weight
A (3, 8) 50
B (4, 4) 30
C (7, 2) 70
D (9, 6) 20
a. Using the cross-median approach, identify the optimal location of the distribution centre. A plot of a graph is not required.
b. Assuming each grid step represents 10 km of travel distance; calculate the weighted distance for the distribution centre. A plot of a graph is not required.