Dr$.$ Henry is analyzing the profitability of his medical practice based on $12$ months of data. Dr$.$ Henry's medical facility average cost is $$250\mathrm{.}00.$ The goal of covering costs and providing a profit requires a profit margin of $25\%$ from insurance reimbursement. What should the dollar amount be for Dr$.$ Henry to make a profit?

a$.$ $$300\mathrm{.}00$

b$.$ $$312\mathrm{.}50$

c$.$ $$350\mathrm{.}00$

d$.$ $$350\mathrm{.}50$

please provide formula for determination