You are considering a luxury apartment building project that requires an investment of $$$$.$ The building has units. You expect the maintenance cost for the apartment building to be $$$ the first year and $$$ the second year. The maintenance cost will continue to increase by $$$ in subsequent years. The cost to hire a manager for the building is estimated to be $$$ per year. After five years of$$ operation, the apartment building can be sold for $$$$.$ What is the annual rent per apartment unit that will provide a return on investment of $\%?$ Assume that the building will remain fully occupied during its five years of operation.