Imagine you are a manager at Trader Dan's grocery store. You've been tasked with analyzing the checkout lines to see if anything needs to be changed from the current set-up. Complete the following problems.
a. After extensive observation, you've determined that there are normally 11 customers coming into the store per hour. When analyzing your cashiers, you've found that they can checkout a single customer in 0.9 minutes. Calculate the utilization rate of your cashier assuming you only have one cashier working. Report your answer in decimal form with two decimals, rounding to the nearest hundredth.
b. You now need to plan for the holiday rush! When the holidays hit, Trader Dan's has a massive increase in customers coming to the store. If during these holidays you have 4.2 customers per minute coming in and your cashiers can handle 1.16 customers per minute, how many cashier lines should you have open to handle these customers? Report the minimum number of cashiers needed.
c. Dan himself came to your store and wanted to know how long customers were waiting in line (this is very important to Dan!). Report the time customers wait in your queue if you have 4 cashiers open, 62 customers come into the store per hour and your cashiers take 2.8 minutes per customer to ring them up.