Maryherry Corp, is planning on purchasing a certain machine. The expected cost of this machine is $$100,000,$ and it is expected to have a useful life of $8$ years winh an estimated salvage value of $$20,000.$ The mnchine is expected to produce cash. savings of $$36,000$ per year in reduced labor costs and the cash operating costs to run this machine are estimated to be $$12,000$ per year. Assuming Mayberry Corp is in the $40\%$ tax bracket and has a minimum desired rate of return of $10\%$ on this investment, determine the:

$($a$)($a$)$ payback period, $($b$)$ ARR, and $($c$)$ NPV $\{$IGNORING TAXES$\},$ and $($ii$)($a$)$ payback period, $($b$)$ ARR, and $($c$)$ NPV $\{$ASSUMING TAXES $\}.$