Requiring an integer solution to a linear programming problem decreases the size of the feasible region.

Question

Quizplus · Accepted Answer

Requiring an integer solution effectively reduces the number of possible solutions to the problem, which in turn reduces the size of the feasible region. This is because the feasible region in a linear programming problem is typically a continuous region, and requiring integer solutions restricts the possible values that the decision variables can take on. As a result, the feasible region becomes smaller and may even disappear altogether, making it more difficult to find a feasible solution.

Requiring an Integer Solution to a Linear Programming Problem Decreases