Customers arrive at a retail store at a rate of $25$ per hour during business hours. Each cashier, on average, takes $10$ minutes to process a customer. Recent changes in wage rates have caused the retail manager to reexamine the question of how many cashiers to use. The new hourly wage and benefits for each cashier is $$33$ per hour; On the other hand, the cost of waiting for one customer is $$27.$

Find the average wait time in the queue and the system for each customer.