The Discipline and Complaints department of Southshore Nursing Homes is situated deep in the suburbs adjacent to the city where Southshore is located (by intent to minimize complaints). The infrastructure of the facility includes a single server which can manage 12 complainants per hour (on average). A complainant arrives at the facility once every 6 minutes on average.

Consider that the inter-arrival and service processes are both exponential. What is the average cycle-time of a complainant (in minutes)?