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 not in the feasible region.
D) The feasible region includes all points that satisfy one constraint, the other, or both.
E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.