Please read the scenario and answer the question basis on the scenario.
Scenario Five: Your bank has decided to open a new drive-in widow complex at the Water Street location that is more accessible to its downtown customers. The new branch will operate three lanes and will be manned using customer service personnel that can service customers at the rate of 4.5 customers every twenty minutes. The plan is to keep one lane open all day (9:00 AM - 5:00 PM), a second lane open for 2 hours during lunch (Noon - 2:00 PM) and a third lane open for 3 hours during afternoon/evening peak times (2:00 PM - 5:00 PM). Assume the arrival rates for off-peak times is 2 customers every 10 minutes, the arrival rate during lunch is 3.5 customers every 15 minutes, and the arrival rate for peak time increases to 5.5 customers every 20 minutes. Because this location is downtown and services a more affluent client, the bank pays its customer service personnel $32.25 per hour (including benefits) and estimates the wait time cost at $80.00 per hour.
Question 1: What is the weighted average number of customers in the system?
Question 2: What is the weighted average number of customers in the queue?
Question 3: What is the weighted average time a customer spends in the system?
Question 4: What is the weighted average time a customer spends in the system?
Question 5: What is the total (non-weighted average) wait time customers spend in the system on a typical day?
Question 6: What is the total (non-weighted average) wait time customers spend in the queue on a typical day?
Question 7: What is the total daily service cost?
Question 8: What is the total daily cost of customers waiting in the system on a typical day?
Question 9: What is the total daily cost of customers waiting in the system plus the cost of service on a typical day?