Students are going through a three$-$step process to obtain their ID cards. Each

student will first visit the only registration desk before going to one of $5$

cashiers to pay a fee for the card. After that, he$/$she will visit one of the $5$ ID

processing stations to have his$/$her picture taken and the ID card printed.

Registration takes $4$ minutes. Visits to the cashier and ID processing station take

$10$ and $15$ minutes, respectively.

If the bottleneck resource has the utilization of $87\%,$ what is the per hour flow

rate through the process?

Round your answer to the nearest integer.