Question: (25 pts) For the coffee shop described above, consider the following change, which describes how it used to be set up. Originally all arrivals joined a single line. For that line the total arrival rate is the sum of the arrival rates of the two lines in the previous problem (Poisson distributed). There was a single server. The average service time was 25 seconds with a standard deviation of 20 seconds (these arrivals are a mix of drip-coffee customers and the other customers). For this setup, determine the average time in line (time spent waiting, not including service time) and average time in the system. Assuming that the employee is paid $12 per hour and the value the coffee shop places on customer waiting time is $8 per hour, calculate the total cost per hour for the system. Please give, in your solution, the model used and the values for lambda and mu.

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