A 113-kg horizontal platform is a uniform disk of radius 1.75 m and can rotate about the vertical axis through its center. A 64.7-kg person stands on the platform at a distance of 1.05 m from the center and a 30.1-kg dog sits on the platform near the person, 1.35 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.