$1.$ EncryptCo is considering a project that has a first cost of $\backslash (\backslash$$ $40,000\backslash ),$ annual savings of $\backslash (\backslash$$ $8,000\backslash )$ at the end of each year, and a salvage value of $\backslash (\backslash$$ $3,000\backslash )$ after $9$ years. Its MARR is $\backslash (5\backslash \%\backslash )$ annual compounded annually.

$($a$)$ Calculate the discounted payback period of the project using a spreadsheet. Attach the spreadsheet to the assignment. $(3$ marks$)$

$($b$)$ Calculate the present worth of the project. $(2$ marks$)$

$($c$)$ Calculate the IRR of the project. $(2$ marks$)$

$($d$)$ Based on results from above, should EncryptCo pursue the project? $(2$ marks$)$