Students are going through a three$-$step process to obtain their ID cards. Each student will spend $2$ minutes at the single registration desk before going to one of three cashiers to pay a fee for the card. After that, he$/$she will visit one of four ID processing stations to have his$/$her picture taken and the ID card printed. Registration takes $2$ minutes. Visits to the cashier and ID processing station take $7$ and $22$ minutes respectively. If the demand rate is $1/10$ students per minute, calculate the flow rate in students per minute $($accurate to three decimal places$)?$