# Solver can't find a feasible solution....but why?

I'm using the basic Solver in Excel 2013. It's a big problem (for it) but I don't think it's too big. Basically there are 182 vehicles that need to be allocated to one of five locations. Each vehicle has a different "value" that it brings to each location. So there are 182 decision variables restricted to the range [1,5], and there is the objective function which is the sum of the selected values, which should be maximized. Each of the five locations also has a maximum number of vehicles that can be assigned to it. The sum of these maximums is 182, so each vehicle should be allocated to a location. Using both the evolutionary and GRG engines, Solver tells me that it cannot find a *feasible* solution. I don't understand, as any random allocation that just gives each location its maximum number of vehicles would be feasible...there should easily be thousands of feasible solutions.

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