Constraint A $2 X_{1}+3 X_{2} \leq 90$ Constraint B $2 X_{1}-3 X_{2} \leq 120$

Multiple Choice

Constraint A: $2 X_{1}+3 X_{2} \leq 90$ Constraint B: $2 X_{1}-3 X_{2} \leq 120$
The feasible region with these two constraints and non-negativity constraints

A) is closed
B) open and hence does not have an optimal solution
C) open but has an optimal solution
D) non-existent (any objective with this as the constraint region will be infeasible)
E) is closed and will have an optimal solution for any linear objective function