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?

Part $2$

A$.$

$(4,4)$

B$.$

$(1,8)$

C$.$

$(1,1)$

D$.$

$(8,1)$

E$.$

The question cannot be answered without knowing the objective function.