four hospitals located in an urban area are collaborating to establish a centralized blood bank facility that will serve them all. the hospitals are located at the following coordinates: (5,10), (7,6), (4,2), (16,3). the number of deliveries to be made to each hospital each year is estimated as 450, 1200, 300 and 1500, respectively. due to the urban location, rectilinear travel can be assumed.
a) compute the optimal location for the blood bank if the total distance travelled each year is to be minimized, under the assumption that the delivery vehicle will deliver to only one hospital on each trip. (is this realistic? )
b) compute the location that minimizes the maximum rectilinear travel distance from the blood bank to any existing hospital.
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four hospitals located in an urban area are collaborating to establish a ce...