Four hospitals located in one county are cooperating to establish a centralized blood-bank facility to serve them all. On an xy coordinate grid of the county, the hospitals are found at the following locations: H ₁ = ( 5, 10), H _{2 =} ( 7, 6), H ₃ = ( 4, 2), and H ₄ = ( 16, 3). The expected number of deliveries per month from the blood bank to each hospital is estimated at 450, 1,200, 300, and 1,500, respectively. Using the cross- median approach, recommend a location for the blood bank that will minimize the total distance traveled.