Four hospitals are located within a city at coordinate points P1=(10,20), P2=(14,12), P3=(8,4) and P4=(32,6). The hospitals are served by a centralized blood bank facility that is located in the city. The number of deliveries to be made each year between the blood bank facility and each hospital is estimated to be 450, 1200, 300, and 1500 respectively. If it is desired to locate the blood bank at a point that minimizes the weighted distance traveled per year, where should it be located (i) if travel is rectilinear in the city
(ii) if travel is measured in Euclidean distance.