When no solution to the linear programming problem satisfies all the constraints,including the nonnegativity conditions,it is considered
A)optimal.
B)feasible.
C)infeasible.
D)semifeasible.

Question

Quizplus · Accepted Answer

When no solution satisfies all the constraints including the nonnegativity conditions, it means that the problem is infeasible. Infeasibility occurs when the constraints are contradictory or inconsistent, or when the feasible region is empty. Therefore, option C is the correct answer. Option A, optimal, refers to a feasible solution that optimizes the objective function. Option B, feasible, is a solution that satisfies all the constraints, including the nonnegativity conditions. Option D, semifeasible, is not a valid term in linear programming.

When No Solution to the Linear Programming Problem Satisfies All