Question: If the optimal decision variable values in an ordinary linear program (without integer restrictions) are rounded to the nearest whole number in order to obtain

If the optimal decision variable values in an ordinary linear program (without integer restrictions) are rounded to the nearest whole number in order to obtain a solution to the corresponding integer program, this solution is for the integer program. never optimal or feasible. sometimes optimal and feasible. always optimal and feasible. always feasible but never optimal

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