Question: In the formulation of this optimization problem, we put in a constraint that limits the number of warehouses to P. If we did not have

In the formulation of this optimization problem, we put in a constraint that limits the number of warehouses to P. If we did not have this in the model, why, in general, would the optimization choose to open and use every potential warehouse? Why is it likely to be a bad decision to open and use every potential warehouse (even though this minimizes the transportation costs to the customers)

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