A Linear Programming Problem Has Two Constraints 2X + 4Y

question 25

Multiple Choice

A linear programming problem has two constraints 2X + 4Y = 100 and 1X + 8Y ≤ 100, plus non-negativity constraints on X and Y. Which of the following statements about its feasible region is true?

• A) The points (100, 0) and (0, 25) both lie outside the feasible region.
• B) The two corner points are (33-1/3, 8-1/3) and (50, 0).
• C) The graphical origin (0, 0) is not in the feasible region.
• D) The feasible region is a straight line segment, not an area.
• E) All of the above are true.