$($Payback period, net present$$ value, profitability$$ index, and internal rate of return$$ calculations$)$ You are considering a project with an initial cash outlay of $$$$80,000$ and expected cash flows of $$$ $22,400$ at the end of each year for six years. The discount rate for this project is $9\mathrm{.}6$ percent. a$.$ What are the$$ project's payback and discounted payback$$ periods? b$.$ What is the$$ project's NPV$?$ c$.$ What is the$$ project's PI$?$ d$.$ What is the$$ project's IRR?