$5.(2$ point$)$ Two mutually exclusive projects have an initial cost of $$47,500$ each. Project A produces cash inflows of $$25,300,$ $$37,100,$ and $$22,000$ for Years $1$ through $3,$ respectively. Project B produces cash inflows of $$43,600,$ $$19,800$ and $$10,400$ for Years $1$ through $3,$ respectively. The required rate of return is $14\mathrm{.}70\%$ percent for Project A and $14\mathrm{.}90\%$ for Project B$.$ Which project$($s$)$ should be accepted and why? Show your work. Round to the nearest $$0\mathrm{.}01$