A doctor's office has three resources: A receptionist registers and checks out patients; Two nurses do physical exams and prep patients to see a doctors; and three doctors see patients. Each patient is seen by the receptionists, one of the nurses and one of the doctors. The current capacity of the doctor's office is $61$ patients per day $($i$.$e$.,$ this is the maximum number of patients the doctor's office can see$).$ The utilizations of receptionist, nurses and physicians are $0\mathrm{.}38,0\mathrm{.}29$ and $0\mathrm{.}62,$ respectively. Assuming all the other resources are available in abundance, what is the doctor's office's current flow rate in patient's per day?

$($Specify your answer to $2$ decimal places$)$