An integer programming (maximization) problem was first solved as a linear programming problem, and ...

An integer programming (maximization) problem was first solved as a linear programming problem, and the objective function value (profit) was $253.67. The two decision variables (X, Y) in the problem had values of X = 12.45 and Y = 32.75. If there is a single optimal solution, which of the following must be true for the optimal integer solution to this problem?
A) X = 12 Y = 32
B) X = 12 Y = 33
C) The objective function value must be less than $253.67.
D) The objective function value will be greater than $253.67.
E) None of the above