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? Explain why.

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