Assigned spots
Reformer 4 is Reformer 4, on every booking.
A place belongs to a booking
Every booking claims a place, even in a room with no numbers. That is what stops you overselling a class.
Per room, not per studio
Run numbered reformers in one room and an open mat floor in another.
She picks, or you do
Let a member choose her machine, or keep that decision at the desk.
Take one out of service
Retire a place for the day and bookings carry on around it.
Everything a studio runs
If one of the three costs you money, tell us how much.
The first conversation is questions, not a deck.