MIP solvers like Gurobi Optimizer solve integer programs via a series of linear programming relaxations. A solution is deemed integer if all integer variables are within a tolerance value (IntFeasTol) of an integer solution. The default value of IntFeasTol is 1e-5, so a value like 1.000000465 would be considered an integer solution. Gurobi Optimizer does not provide a rounding feature because in many models, rounding to an exact integer value can create problems, such as making the solution infeasible.

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