*Practice exam problem set-were difficult for me to figure out so need the answers

1) Little's Law Firm has two lawyers. Customers arrive randomly at an average rate of 1 per hour. Service times have a mean of 60 minutes and a standard deviation of 15 minutes. What is the average number of customers in Little's Law Firm?

Almost 0

Approximately 1.2

Exactly 0

Approximately 0.2

2) Which of the following measures does NOT achieve a reduction in the variability of process times?

Designing the process to minimize disruptions to the employees

Troubleshooting the process to eliminate hiccups

Providing discounts at high-demand times such that customers arrive less randomly

Applying a Standard Operating Procedure

3) Where should a fire station be located on the OM Triangle?

Somewhere in the middle, roughly equidistant from all corners

As close as possible to the Inventory corner

As close as possible to the Information corner

As close as possible the Capacity corner

4) On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute). There is a single line at the bank after which a customer goes to one of the five bank tellers. A bank teller takes on average 3 minutes to help a customer, with a standard deviation of 1.5 minutes. How long does a customer spend in this bank on average?

Approximately 3.3 minutes

Approximately 0.3 minutes

Approximately 60%

Approximately 0.05 minutes

5) When pooling several servers, while keeping everything else (e.g., total arrival rate, processing times, variability in arrivals and service times) the same, what happens to the average utilization?

Hint: does the total amount of work to be done go up? Or down? Or stay the same? And does the total resource capacity go up? Or down? Or stay the same?

Nothing: the average utilization stays the same

It decreases as the total risk has decreased

It increases as all servers are now working on all customers

Could be any of the other answers depending on the type of jobs