If the number of customers in a queue is 8,the arrival rate is 2 customers per minute,and the customer service rate is 4 customers per minute,what is the average number of customers in the system?
A)10 customers
B)12 customers
C)8.5 customers
D)10.5 customers

Question

Quizplus · Accepted Answer

The average number of customers in the system can be calculated using the formula $L = \lambda / (\mu - \lambda)$, where $L$ is the average number of customers in the system, $\lambda$ is the arrival rate, and $\mu$ is the service rate. Plugging in the given values, $L = 2 / (4 - 2) = 2 / 2 = 1$. However, since the question states there are already 8 customers in the queue, the total average number of customers in the system is $8 + 1 = 9$. The provided options do not include 9, indicating a possible mistake in the interpretation of the question or in the provided options. Based on the given options, none directly reflect the correct calculation, suggesting a potential error in the question setup or a misunderstanding in the calculation process.

If the Number of Customers in a Queue Is 8,the