Axis Corp. is studying two mutually exclusive projects. Project Kelvin involves an overhaul of the existing$$ system; it will cost $$$$52,500$ and generate cash inflows of $$$$24\mathrm{.}500$ per year for the next $3$ years. Project Thompson replaces the existing$$ system; it will cost $$$$265,000$ and generate cash inflows of $$$$61,000$ per year for $6$ years. Using$$ a$($n$)8\mathrm{.}75\%$ cost of$$ capital, calculate each$$ project's NPV$,$ and make a recommendation based on your findings.