Consider the Following Constraints from a Two-Variable Linear Program

Multiple Choice

Consider the following constraints from a two-variable linear program. (1) X ≥1
(2) Y ≥1
(3) X + Y ≤ 9
If these are the only constraints, which of the following points (X, Y) cannot be the optimal solution?

A) (1, 1)
B) (1, 8)
C) (8, 1)
D) (4, 4)
E) The question cannot be answered without knowing the objective function.