A toy manufacturer uses $51,030$ rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of $800$ per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is $$1\mathrm{.}50$ per wheel per year. Setup cost for a production run is $$47.$ The firm operates $243$ days per year. Determine the following: