Which of the following combinations of constraints has no feasible region? A) X + Y 15 and X - Y 5 and X 10 C) X 10 and Y 20 D) X + Y 100 and X + Y

Question

Which of the following combinations of constraints has no feasible region? A) X + Y > 15 and X - Y < 10 B) X + Y > 5 and X > 10 C) X > 10 and Y > 20 D) X + Y > 100 and X + Y < 50 E) All of the above have a feasible region.

Quizplus · Accepted Answer

Constraint D implies that the sum of X and Y is both greater than 100 and less than 50, which is impossible. Therefore, there is no feasible region for this set of constraints.

Which of the Following Combinations of Constraints Has No Feasible