You are analyzing two mutually exclusive projects. The required rate of return is $14\mathrm{.}6$ percent per year for project A and $13\mathrm{.}8$ percent per year for project B$.$ Which project should you accept and why? Here are the cash flows for both projects. Although both projects require an initial $$50,000$ investment in Year $0($now$),$ the Year $1$ through $3$ cash inflows are different. For the project A$,$ Year $1$ through $3$ cash inflows are $$24,800,$ $$36,200,$ and $$21,000.$ For the project B$,$ Year $1$ through $3$ cash inflows are $$41,000,$ $$20,000,$ and $$10,000.$