There are 10 vehicles in a queue when an attendent opens a, Civil Engineering

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There are 10 vehicles in a queue when an attendent opens a

There are 10 vehicles in a queue when an attendent opens a toll booth. Vehicles arrive at the booth at a rate of 4 vehicles per minute. The attendent opens the booth and improves the service rate over time following the function u(t)= 1.1 +0.3t, where u(t) is in vehicles per minute and t is in minutes. When will the queue clear, what is the total delay, and what is the maximum queue length?

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