Solve the following linear programming problem using the lexicographic minimum ratio test .

max 3 4 4 205 + 1 2 6 + 67

s.t. 1 + 1 4 4 85 6 + 97 = 0

2 + 1 4 4 125 1 2 6 + 37 = 0

3 + 6 = 1

1,2,3,4,5,6,7 0