Constraint A $-3 X_{1}+X_{2} \leq 90$ Constraint B $4 X_{1}-2 X_{2} \geq 120$

Constraint A: $-3 X_{1}+X_{2} \leq 90$ Constraint B: $4 X_{1}-2 X_{2} \geq 120$ Constraint C: $X_{1}+2 X_{2} \leq 150$
All variables are required to be non-negative. Let the objective function be Min: $2 X_{1}-3 X_{2}$ . Corner points of the feasible region include (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $\left.X_{2}\right)$

A) $(0,0)$ and $(0,75)$
B) $(0,0)$ and $(-30,0)$
C) $(54,48)$ and $(150,0)$
D) $(0,-60)$ and $(0,90)$
E) A and B