(See Adan reference section 4.5) Consider an M/M/1 queue with two types of customers. The mean service time of all customers is 5 minutes. The arrival rate of type 1 customers is 4 customers per hour and for type 2 customers it is 5 customers per hour. Type 1 customers are treated with priority over type 2 customers. (1) Determine the mean sojourn time of type 1 and 2 customers under the preemptive resume priority rule. (ii) Determine the mean sojourn time of type 1 and 2 customers under the non-preemptive priority rule. (See Adan reference section 4.5) Consider an M/M/1 queue with two types of customers. The mean service time of all customers is 5 minutes. The arrival rate of type 1 customers is 4 customers per hour and for type 2 customers it is 5 customers per hour. Type 1 customers are treated with priority over type 2 customers. (1) Determine the mean sojourn time of type 1 and 2 customers under the preemptive resume priority rule. (ii) Determine the mean sojourn time of type 1 and 2 customers under the non-preemptive priority rule