Can you show a breakdown of how you answer the following multi step prompt?

Consider a small drive-through sample collection facility. Patients drive in their cars to the collection facility and are assigned to a specific station. At the station, a nurse collects the sample through the car window. Once the collection is done, the patient drives out of the facility immediately. The test results are provided electronically 24 hours later.

Early in the pandemic (March-June), the arrival rate to the collection facility is 12 patients per hour, and the time it takes each nurse to collect the sample is 10 minutes per patient. The facility has 3 collection stations. Lucia, the collection facility manager, is concerned with the average total time patients spend In the facility and has taken various measures to try to Improve this metric. Assume coefficients of variation are equal to 1 throughout.

1. At arrival, cars are immediately assigned to one of three lines in front of each of the three collection stations with equal probability (). What is the arrival rate to each of the stations?
2. Compute the utilization and the average total time (in minutes) patients spend at the collection facility.
3. Lucia attends an online class on operations and learns about the benefit of pooling. She decides to replace the previous facility layout with a single line of cars that feeds into the three collection stations. What is the utilization and the average total time patients spend in the collection facility under the new layout? How does it compare to the time computed in part a)?