A manufacturer wants to construct warehouses in six different locations of the city to supply dry cells to his customers on time. The manufacturer wants to construct the minimum number of warehouses, to meet the market demand on time, such that at least one warehouse is within 40 miles from each other warehouse. The following table provides the distance (in miles) between the locations.
Formulate and solve an integer linear program that can be used to determine the minimum number of warehouses needed to be constructed. What are their locations?
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