An integer programming (maximization) problem was first solved as a linear programming problem, and the objective function value (profit) was $473.27. The two decision variables (X, Y) in the problem had values of X=12.45 and Y=32.75. Which of the following must be true for the solution to this problem? A) X = 12 Y = 32 B) X = 12 Y = 33 C) The maximum value of the objective function is greater than $473.27. D) The maximum value of the objective function is less than $473.27.

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