(Solved): (10 points) Four hospitals located within a city are cooperating to establish a centralized blood-b ...

(10 points) Four hospitals located within a city are cooperating to establish a centralized blood-bank facility that will serve the hospitals. The new facility is to be located such that the total distance traveled is minimized. The hospitals are located at the following coordinates: Pl=(5,10), P2=(7,6), P3=(4,2), and P4=(16,3). The number of deliveries to be made per week between the blood-bank facility and each hospital is estimated to be 3, 8, 2, and 10, respectively. Assuming rectilinear travel, determine the optimum location and the minimized total distance.