The management of an $8,000-$room gambling hotel in Vegas projected an average occupancy of $84\mathrm{.}00\%$ with an average occupancy of $2\mathrm{.}05$ people per room. Also, the management estimated that $1\mathrm{.}11$ meals will be needed for each checked$-$in guest. Nevertheless, the recent data demonstrates that $300$ people have not checked into any room. The management has decided to include those people in the forecast for the next year. If the forecasted meal revenue is $$200,956,$ what is the projected price per meal based on the #of meals to be sold for the next year based on the regression analysis?