The city of Youngstown can send their garbage and recycling to two different facilities.

Facility A incinerates $8$ tons of garbage and sorts and bales $2$ tons of recycling per day.

Facility B incinerates $5$ tons of garbage and sorts and bales $3$ tons of recycling per day.

The city must dispose of at least $200$ tons of garbage and $90$ tons of recycling each

month. If the daily rate is $$550$ per day to use facility A and $$625$ per day to use

facility B$,$ how many days each month should Youngstown plan to use each facility to

minimize their costs?