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

Multiple Choice

Constraint A: $2 X_{1}+2 X_{2} \leq 14$ Constraint B: $4 X_{1}+10 X_{2} \leq 40$
All variables are required to be non-negative. Let the objective function be Max: $X_{1}+X_{2}$ . 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 4
C) $(5,2)$ and 7
D) $(0,7)$ and 7
E) C and D