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? 1) X = 12, Y = 32 2) The objective function value must be less than $253.67 3) X = 12, Y = 33 4) The objective function value will be greater than $253.67 5) The objective function value would still be equal to $253.67

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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?


1) X = 12, Y = 32
2) The objective function value must be less than $253.67
3) X = 12, Y = 33
4) The objective function value will be greater than $253.67
5) The objective function value would still be equal to $253.67

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