CAN I GET HELP WITH Q 1 AND Q2

A company is considering opening a fast-food service operation (drive through). Prior research shows that customer arrivals would follow a Poisson process, with an arrival rate of 24 cars per hour, and that service times would follow a negative exponential probability distribution. Arriving customers would place orders at an intercom station at the back of the parking lot and then drive to the service area to pay for and receive their orders. The following service alternatives are being considered:

Q1. A single-server operation in one service window in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.

- What is the average number of cars waiting for service in the line?

- What is the average number of cars in the system?

- What is the average time a car waits for service in the line?

- What is the average time in the system?

- What is the utilization factor of the system?

Q2. A single-server operation in one service window in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.25 minutes.

- What is the average number of cars waiting for service in the line?

- What is the average number of cars in the system?

- What is the average time a car waits for service in the line?

- What is the average time in the system?

- What is the utilization factor of the system?