Question: Four hospitals located in one county are cooperating to establish a centralized blood bank facility to serve them all. On an x y 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 metropolitan metric, recommend a location for the blood bank that will minimize the total distance traveled.

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