Question 1
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?
◦ The graphical origin (0, 0) is not in the feasible region.
◦ The points (100, 0) and (0, 25) both lie outside the feasible region.
◦ The feasible region is a straight line segment, not an area.
◦ The two corner points are (33-1/3, 8-1/3) and (50, 0).
◦ All of the above are true.
Question 2
A linear programming problem contains a restriction that reads "the quantity of X must be at least three times as large as the quantity of Y." Which of the following inequalities is the proper formulation of this constraint?
◦ X + Y≥3
◦ X ≤ 3Y
◦ X - 3Y ≥ 0
◦ 3X ≤ Y
◦ 3X ≥ Y
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