Paper , Order, or Assignment Requirements

please see questions below

The Main Street branch of the bank is much larger than the Elm Street location and services more customers on a daily base. Additionally it has upgraded it computer services and facilities making it quicker to service customers at its drive in window. On average each customer service representative can service 7 customers every twenty minutes at a cost of salary and benefits for a bank teller is $19.50 per hour. The bank is open 8 hours each day. If it has been estimated that the waiting time cost per hour is $72.00 per hour in line. The branch operates one lane for the entire 8 hours per day but opens a second lane during peak times four hoursper day. Assume the arrival rate for off-peak hours is 5 customers every twenty minutes and the arrival rate for peak time increases to 6.5 customers every fifteen minutes.

Question 28: What is the weighted average number of customers in the system?

Question 29: What is the weighted average number of customers in the queue?

Question 30: What is the weighted average time a customer spends in the system?

Question 31: What is the weighted average time a customer spends in the queue?

Question 32: What is the total (non-weighted) average wait time customers spend in the system on a typical day?

Question 33: What is the total (non-weighted) average wait time customers spend in the queue on a typical day?

Question 34: What is the total daily service cost?

Question 35: What is the total daily cost of customers waiting in the system on a typical day?

Question 36: What is the total daily cost of customers waiting in the system plus the cost of service on a typical day?

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 6 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 3.5 customers every fifteen minutes, the arrival rate during lunch is 7 customers every twenty minutes, and the arrival rate for peak time increases to 4 customers every ten minutes. Because this location is downtown and services a more affluent client, the bank pays its customer service personnel $30.25 per hour (including benefits) and estimates the wait time cost at $75.00 per hour.

Question 37: What is the weighted average number of customers in the system?

Question 38: What is the weighted average number of customers in the queue?

Question 39: What is the weighted average time a customer spends in the system?

Question 40: What is the weighted average time a customer spends in the queue?

Question 41: What is the total (non-weighted average) wait time customers spend in the system on a typical day?

Question 42: What is the total (non-weighted average) wait time customers spend in the queue on a typical day?

Question 43: What is the total daily service cost?

Question 44: What is the total daily cost of customers waiting in the system on a typical day?

Question 45: What is the total daily cost of customers waiting in the system plus the cost of service on a typical day?