The Cook County Authority is considering the purchase of a small plane to transport government officials. It is hoped that the plane will save money on travel costs for government employees. Assume the county requires an $8$ percent rate of return.

Using the present value tables in Exhibits $26-3$ and $26-4,$ If the plane$$s cost is $$306,840$ and it can likely be sold in six years for $$100,000,$ what minimum annual savings in transportation costs are needed to make the plane a good investment?

Note: Round Present value factor to $3$ decimal places. Round final answer to the nearest whole dollar.