$12.$ Millennium Motel $($MM$),$ a $50-$room facility, is to be constructed at a cost of $$2,000,000.$ One$-$half of the cost will be financed through the Penn National Bank at an annual rate of interest of $15$ percent. Other unallocable expenses are $$300,000,$ and room department expense is $$8$ per room sold. Assume $360$ operating days in a year and $65$ percent occupancy. The price per room using the Hubbart Formula where the MM breaks even is

a$.$ $$20\mathrm{.}83.$

b$.$ $$28\mathrm{.}83.$

c$.$ $$38\mathrm{.}46.$

d$.$ $$46\mathrm{.}46.$