A $100$ room hotel was projected to cost $$10,000,000.$

The hotel would have fixed annual costs of $$2,000,000$ and an overall Net Income margin on variable costs $($only$)$ of $63\%.$

The market portion of the feasibility study indicated that the REVPAR for this market was projected to be $$82\mathrm{.}50$ in year $1,$ $$85\mathrm{.}00$ in year $2,$ and $$87\mathrm{.}00$ in year $3.$

Is this hotel a feasible investment over this three year period?$$ Show your calculations.