$5.$ The Chen Company is considering the purchase of a new machine to replace an obsolete one. The machine being used for the operation has both a book value and a market value of zero; it is in good working order, however, and will last physically for at least another $10$ years. The proposed replacement machine will perform the operation so much more efficiently that Chen$$s engineers estimate it will produce after$-$tax cash flows $($labor savings and depreciation$)$ of $$9,000$ per year. The new machine will cost $$40,000$ delivered and installed, and its economic life is estimated to be $10$ years. It has zero salvage value. The firm$$s WACC is $10\%,$ and its marginal tax rate is $35\%.$ Should Chen buy the new machine?