Williamsville Co is considering a project with an initial fixed asset cost of $$840,000$ which will be depreciated straight$-$line to a zero book value over the $4-$year life of the project. At the end of the project the equipment will be sold for an estimated $$440,000.$ The project will not directly produce any sales but will reduce operating costs by $$30,000$ a year. The tax rate is $35$ percent. The project will require $$28,000$ of net working capital which will be recouped when the project ends. Should this project be implemented if the firm requires a $12$ percent rate of return? Why or why not?

No; The NPV is $-$$$272,940\mathrm{.}28.$

No; The NPV is $-$$$385,973\mathrm{.}83.$

Yes; The NPV is $$252,860\mathrm{.}34$

Yes; The NPV is $$382,412\mathrm{.}94$