The Golden Goose is considering a project with an initial cost of $$46,700.$ The project will produce cash inflows of $$10,000$ for the first two years and $$12,000$ per year for the following four years. What is the payback period?

A$.4\mathrm{.}23$ years

B$.4\mathrm{.}19$ years

C$.4\mathrm{.}06$ years

D$.2\mathrm{.}87$ years

E$.3\mathrm{.}41$ years