$($Please answer all questions$)($Payback period, net present value, profitability index, and internal rate of return calculations$)$ You are considering a project with an initial cash outlay of $$71,000$ and expected cash flows of $$19,170$ at the end of each year for six years. The discount rate for this project is $10\mathrm{.}3$ 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?