American Foods $($AF$)$ wants to increase its operating efficiency by installing a new inventory management system. The system requires an investment in equipment of $$19,616$ today. The equipment will be depreciated on a straight line basis to a value of zero over a five year life. The first depreciation charge will be recognized one year from now $($at Year $1).$ The system will allow AF to reduce its inventory levels one year from now by $$2,953.$ The system is expected to increase AF's revenue by $$27,150$ each year. Annual pre$-$tax expense of $$12,716$ is required to run the system. If the company's tax rate is $33\%,$ what is the incremental free cash flow for the system one year from now $($at Year $1)?$