A 111 kg horizontal platform is a uniform disk of radius 1.91 m and can rotate about the vertical axis through its center. A 66.5 kg person stands on the platform at a distance of 1.09 m from the center, and a 29.3 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.