Lobster King wants to be sure that its customers enjoy a quality service experience. You have been studying a 2 server queue for the past 8 weeks and has determined that customers arrive at a rate of 28.3286 customers per minute (believed to follow a Poisson process). Moreover, you has determined that on average, it takes 0.0438 minutes to serve a customer, and service times are believed to follow an exponential distribution.

The COO, Darren Warner, has asked you to estimate the average number of customers waiting and the average number of customers in the system.

La

0.776

L = 2.017

Note: Enter answers to 3 decimal places.

In addition, Darren has been flirting with the idea of having "priority" customers who would, for a small fee of course, receive preferential treatment including skipping past all waiting customers with a lower priority. At present, Darren is thinking about assigning each customer to one of 2 priority classes based on the preferred customer option s//he purchases (he hasn't yet decided what to call each of the preferred customer classes). Darren currently estimates that 5% of customers will upgrade to priority class 1, and 95% of customers will upgrade to priority class 2.

Please determine the following to help Darren evaluate whether the preferred customer plan is a good one.

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Li =

Lq2

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