It is to be noted that the feasible region for the pure integer linear programming (ILP) problem: " is a lattice consisting of points corresponding only to integer values of the decision variables" (Option B).
An integer programming (IP) issue is a linear programming (LP) problem in which the decision variables must be integers. The goal function as well as the restrictions must be linear. The branch-and-bound approach is the most widely utilized method for solving an IP.
The LP relaxation of an ILP problem is obtained by relaxing the integer constraints on the decision variables, allowing them to take on fractional values.
Thus, the feasible region for the LP relaxation is a superset of the feasible region for the corresponding ILP problem, as it includes all of the points that are feasible for the ILP problem as well as additional points that are feasible for the LP relaxation but not the ILP problem.
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