Answer:
Task a:
What is the average customer time in the system?
Answer: 30 seconds
Task b:
What would be the effect on customer time in the system of having a second ticket taker doing nothing, but validations and card punching, thereby cutting the average service time to 20 seconds?
Answer: 33.34 minutes
Task c:
Would system waiting time be less than you found in b if a second window was opened with each service doing all three tasks?
Answer: 16.67 minutes
Explanation:
Task a:
What is the average customer time in the system?
Solution:
Average customer time = 30 seconds per customer.
Total number of customers in an hour = 100.
Total time taken to attend customers = time per customer*total customers
= 30*100 = 3,000 seconds or 50 minutes.
So, 100 customers are attended in 50 minutes.
Average time = 50/100 = 0.5 minutes or 30 seconds
Task b:
What would be the effect on customer time in the system of having a second ticket taker doing nothing, but validations and card punching, thereby cutting the average service time to 20 seconds?
Solution:
If the average service time is reduced to 20 seconds, the customer time will reduce in the system.
For 100 customers, total time taken = 20*100 = 2,000 seconds or 33.34 minutes
Thus waiting time for the 100th customer has fallen from 50 minutes to 33.34 minutes.
Task c:
Would system waiting time be less than you found in b if a second window was opened with each service doing all three tasks?
Solution:
In this case, 100 customers will be divided into 1/3rd each i.e. 100/3 in each line.
So, waiting time for the 100/3th customer = 100/3*original time = 100/3*30 seconds = 1,000 seconds or 16.67 minutes.
Thus, within 16.67 minutes the line would be serviced.
Therefore, System waiting time will be less than as calculated in b.
