A linear programming problem has two constraints 2X + 4Y = 100 and 1X + 8Y less than or equals 100, plus nonminusnegativity constraints on X and Y. Which of the following statements about its feasible region is true?

A.

The two corner points are (33-1/3, 8-1/3) and (50, 0).

B.

The graphical origin (0, 0) is not in the feasible region.

C.

The points (100, 0) and (0, 25) both lie outside the feasible region.

D.

The feasible region is a straight line segment, not an area.

E.

All of the above are true.