$)$ FSH Company needs to know if the profitability of their project meets certain thresholds. FSH estimates that this project will have an initial cash outlay of $$1,000,000$ then cash outlays of $$2,000,000$ in years $2,3,$ and $4.$ Estimated cash inflows are $$1,500,000$ in year $1,$ $$3,000,000$ in year $2,$ $$2,500,000$ in year $3,$ and $$2,750,000$ in years $4$ and $5.$ With a required rate of return of $12\%,$ what is the profitability index for this investment? $($Round up to two decimal places$).$

Please select one answer choice from below.

A$)1\mathrm{.}89$

B$)1\mathrm{.}67$

C$)2\mathrm{.}65$

D$)1\mathrm{.}75$