For maximization problems, the optimal objective function value to the LP relaxation provides what for the optimal objective function value of the ILP problem?
A) An upper bound.
B) A lower bound.
C) An alternative optimal solution.
D) An additional constraint for the ILP problem.

Question

Quizplus · Accepted Answer

The LP relaxation provides an upper bound on the optimal objective function value of the ILP problem because it relaxes the integer constraints and allows for non-integer solutions, which can potentially exceed the optimal integer solution.

For Maximization Problems, the Optimal Objective Function Value to the LP