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. The corner points of the feasible region for this constraint set (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $X_{2}$ ) is

A) $(0,0) ,(0,7) ,(7,0)$
B) $(0,0) ,(0,4) ,(7,0)$
C) $(0,0) ,(0,4) ,(10,0)$
D) $(0,0) ,(0,4) ,(5,2) ,(10,0)$
E) $(0,0) ,(0,4) ,(5,2) ,(7,0)$