Question: Question 4- A Starbucks shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing

Question 4- A Starbucks shop decides to install an automatic coffee

Question 4- A Starbucks shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing in line inside. The cost of one coffee on the machine is 3.50S. The service time is a constant 3 minutes, and the arrival rate is 15 person per hour with a Poisson distribution. (You can use the Excel calculator to solve this question) 1- What is the average wait in line? 2- What is the average number of people in line? 3- Starbucks decides to increase the price to 5$ per cup and take 60 seconds off the service time. But this increase in the price reduce the arrival rate to 10 person per hour. Now, what is the average wait time and the average number of people in the line

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