The constraints of a two-variable linear programming problem is stated here: X 1;Y 1;X + Y 9.

Which of the following statements regarding the (X, Y) points is NOT TRUE?

A. The optimal solution might be X=1, Y=8

B. The optimal solution might be X=4, Y=4

C. The optimal solution might be X=4, Y=5

D. The optimal solution might be X=8, Y=1

E. We need to know the objective function to make a better statement.

F. All of the above is TRUE