$2.(20$ points$)$ ETP Co$.$ has an investment opportunity costing $($ initial investment$)($$$120,000)$ that is expected to yield the following cash flows over the next ten years: $($a negative number means a cash outflow$)$

Year $1$: $$24,000$

Year $2$: $$27,000$

Year $3$: $$24,000$

Year $4$: $$69,000$

Disinvestment payment at Year $4$: $($$$9,000)$ This is a negative number

a$.$ Find the NPV of the investment at a discount rate of $10\%.$

b$.$ Does this capital project appear to be a favorable investment based on NPV$?$ Why or Why Not?

c$.$ What is the profitability Index of this project

d$.$ If a second project $($X$)$ with an initial investment of $$50,000$ which has a profitability index of $1\mathrm{.}85$ was also being considered, which project $($ETP or X$)$ would be best and why?