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

Multiple Choice

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

A) There are four corner points including (50, 0) and (0, 12.5) .
B) The two corner points are (0, 0) and (50, 12.5) .
C) The graphical origin (0, 0) is in the feasible region.
D) The feasible region is triangular in shape, bounded by (50, 0) , (33-1/3, 8-1/3) , and (100, 0) .
E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.