The purchase of this machine will result in an increase in earnings before interest and taxes of $$70,000$ per year. The machine has a purchase price of $$250,000,$ and it will cost an additional $$10,000$ to install this machine correctly. In addition, to operate this machine properly, inventory must be increased by $$15,000.$ This machine has an expected life of $10$ years, after which time it will have no salvage value. Assume the equipment will be equally depreciated $($straight$-$line method$)$ over the $10$ years of use. The company has a $34\%$ marginal tax rate, and a required rate of return of $15\%.$

a$.$ What is the prowitial cash outlay associated with this project $($FCF in Year $0)?(3$ points$)$