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) X ≤ -5

Question

Quizplus · Accepted Answer

Constraint D, X + Y ≥ 100 and X + Y ≤ 50, is contradictory as it is impossible for X + Y to be both greater than or equal to 100 and less than or equal to 50. Therefore, there is no feasible region for this set of constraints.

Which of the Following Combinations of Constraints Has No Feasible