Sunland Auto Repair Company owns a garage and is contemplating purchasing a tire retreading machine. Sunland projects a net cash inflow from the retreading machine of $$12,000\mathrm{.}00$ annually for $5$ years. It feels it could sell the machine for $$11,800\mathrm{.}00$ when done using it$.$ Sunland hopes to earn a return of $8\%$ on such investments. What is the net present value if machine costs $$50,000\mathrm{.}00?($For calculation purposes, use $5$ decimal places as displayed in the factor table provided. Round answer to $2$ decimal places, e$.$g$.52\mathrm{.}75.)$

Click here to view the factor table.

Net present value $ $$

Should Sunland purchase the retreading machine if it costs $$50,000\mathrm{.}00?$

$$