question archive Suppose that you solved a LP relaxed formulation of the maximization problem and found that the optimal objective function value is 500

Suppose that you solved a LP relaxed formulation of the maximization problem and found that the optimal objective function value is 500

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Suppose that you solved a LP relaxed formulation of the maximization problem and found that the optimal objective function value is 500. The objective function value for the optimal solution to the original ILP problem can never be:

a. Integer.  

b. Continuous.  

c. Lower than 500, which is the objective function value for the optimal solution to its LP relaxation.  

d. Higher than 500, which is the objective function value for the optimal solution to its LP relaxation.

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