Jim has an annual income of $$250,000.$

Jim is looking to buy a house with monthly property taxes of $$100$ and monthly homeowner$$s insurance of $$125.$ He also has $$258$ in monthly student loan payments.

Mes Bank has a maximum front$-$end PTI limit of $28\%$ and a maximum back$-$end PTI limit of $36\%.$ Both limits must be satisfied.

Mes Bank is offering a fully amortizing $30-$year FRM at an annual rate of $8\mathrm{.}5\%$ p$.$a$.,$ compounded monthly.

Mes Bank will allow Jim to spend at most $$\_\_\_\_$ per month on mortgage payments $($principal and interest$)$