The LP relaxation of an ILP problem
A) always encompasses all the feasible integer solutions to the original ILP problem.
B) encompasses at least 90% of the feasible integer solutions to the original ILP problem.
C) encompasses different set of feasible integer solutions to the original ILP problem.
D) will not contain the feasible integer solutions to the original ILP problem.

Question

Quizplus · Accepted Answer

The LP relaxation of an ILP (Integer Linear Programming) problem involves removing the integer constraints and allowing the variables to take any real values. This process always encompasses all the feasible integer solutions of the original ILP problem because it broadens the feasible region to include all integer points and possibly additional non-integer points.

The LP Relaxation of an ILP Problem