Ervin and Freda are looking for a home; their combined incomes total $$77,000.$ The couple were able to negotiate a rate of $5\mathrm{.}25\%$ for a $5-$year fixed term on a $25-$year amortization. The taxes are estimated at $$1,800,$ and heating costs are $$1,200$; their personal debt consumption is $$725$ per month. The bank's guideline is $40\%$ for the TDS and $32\%$ for the GDS$.$ Using the TDS guideline, determine the maximum mortgage they qualify for.

Select one:

a$.$ None of the above

b$.$ $$254,658\mathrm{.}19$

c$.$ $$254,723\mathrm{.}19$

d$.$ $$154,685\mathrm{.}19$

e$.$ $$267,094\mathrm{.}91$