Station A has $3$ parallel operators, A$1,$ A$2,$ and A$3.$ Station C has $2$ parallel operators, $C1$ and $C2.$ Each unit only needs to be processed by one of the operators A$1,$ A$2$ and A$3.$ After being processed at Station B$,$ a unit then needs to be processed by either $C1$ or $C2.$ The process time of the individual operators are given as follows.

$A1,A2,$ and $A3$:$12$ minutes

B: $9$ minutes

$C1$ and $C2$:$6$ minutes.

The process initiates the production of a new unit every $16$ minutes. What is the utilization of operator A$1$ in percentage?