[See Steps] At the drive-through counter of a fast food outlet, an average of 10 cars waits in line. The manager studies the system and concludes that 2


Question:

At the drive-through counter of a fast food outlet, an average of 10 cars waits in line. The manager studies the system and concludes that 2 cars per minute enter the drive-through area. Assume that no car that enters the line leaves without service. On average, how long does a car spend in the drive-through line? Assume that we have a single server and exponentially distributed inter-arrival and service times. Hint: a useful equation for Lq in an M|M|1 system is Lq = ρ2/(1-ρ).

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