Students arrive at the Administrative Services Office randomly at the rate of 4 per hour, and their requests require a random amount of time to be processed. On average one request is processed by 10 minutes. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day.

1.What is the queue system type in the format ___/___/___?

2. Determine the average length of the queue in the office____. (Two decimal points. For example, if you answer is 5.7486, write it as 5.75.)

3.Determine the average waiting time in the office measured in hours: ____. (Two decimal points. For example, if you answer is 5.7486, write it as 5.75.)

4. Suppose the time a student spends waiting in line costs them (due to goodwill loss and so on) $10 per hour. How much goodwill cost does the office incur for each student measured in dollars? (Two decimal points. For example, if you answer is 5.7486, write it as 5.75.)

5.If each order is processed by exactly 10 minutes, what is the goodwill cost per day in the previous question measured in dollars? (Two decimal points. For example, if you answer is 5.7486, write it as 5.75.)