Kiera makes $$100,000$ per year. She pays $$500$ every month for her student loan.

Ciri bank has a front$-$end PTI ratio of $35\%$ and a back$-$end PTI ratio of $40\%.$ Based on these ratios, what is the maximum amount Ciri bank will allow Kiera to spend every month on $($mortgage payments$+$property tax$+$home insurance$)?$