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I have a data set that contains a list of 100 cities within the US (Target). I also have a list of all the zip codes in the US with they're associated populations (Universe). With that information, I've managed to calculate the total population within 100 miles of all the cities.
However, if I am limited to choosing only 10 cities in my target list, how do I know which 10 cities to pick to maximize population reach? Meaning, is there a way to calculate an optimized model that favors trade areas with the highest populations, trade areas with the least overlap, etc.?