$6.$ Youngstown is considering an investment which will require the purchase of a machine. The machine costs $$850,000,$ has a class life of $8$ years, and will be depreciated using simplified straight$-$line depreciation. The firm's marginal tax rate is $35\%.$ The incremental revenues expected over the $5-$year life of the project are $$270,000$ per year, and cash expenses are $$152,000$ per year. In addition, the new machine will reduce defects by $$28,000$ per year. The new machine will require a one$-$time increase in net working capital of $$25,000$ at the time of installation. At the end of $5$ years, the machine will be worthless, and the firm will not replace it$.$ Calculate the annual cash flow resulting from this project in year $1.$

a$)$ $$98,630$

b$)$ $$132,087$

c$)$ $$138,287$

d$)$ $$84,238$

e$)$ $$76\mathrm{.}313$