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, 1) 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:

8a + 4 = b a = 2b b = 2a 8b + 4 = a

a = 2b

The correct answer is Option (2) → a = 2b