Constraint A $-2 X_{1}+2 X_{2} \geq 14$ Constraint B $4 X_{1}+10 X_{2} \leq 40$

Multiple Choice

Constraint A: $-2 X_{1}+2 X_{2} \geq 14$ Constraint B: $4 X_{1}+10 X_{2} \leq 40$ All variables are required to be non-negative. Let the objective function be Max: $2 X_{1}+3 X_{2}$ . The optimal solution and the corresponding objective function value to this problem (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $X_{2}$ ) will be

A) $(0,0)$ and 0
B) $(0,4)$ and 18
C) problem is infeasible
D) solution is unbounded
E) $(10,0)$ and 20