Three particles of masses: m1 = 2 kg, m2 = 3 kg and m3 = 5 kg, are fixed at the points (4 m, 0 m), (9 m, 5 m) and (7 m, 5 m), respectively, in the xy plane. An axis A is perpendicular to the xy plane and the moment of inertia IA of this three-particle system is computed. Determine the smallest possible value of IA.
(a) 40 kg·m2
(b) 50 kg·m2
(c) 60 kg·m2
(d) 70 kg·m2
(e) 80 kg·m2
(f) None of the above.