Project P has an initial cost of $$50,000$ and creates inflows of $$10,000$ in Year $1,$ $$21,000$ in Year $2,$ $$17,000$ in Year $3,$ $$20,000$ in Year $4,$ and $$40,000$ in Year $5.$ What is the payback period?

a$.4$ years

b$.3\mathrm{.}4$ years

c$.3\mathrm{.}1$ years

d$.$ Not enough information to decide