The corner points of the feasible region determined by
x + y ≤ 8, 2x + y ≥ 8, x ≥ 0, y ≥ 0
are A(0, 8), B(4, 0) and C(8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is :
1
8a + 4 = b
2
a = 2b
3
b = 2a
4
8b + 4 = a