Diego sells cakes at his bakery. There are two types of customers: new customers and club...

 

Transcribed Image Text:

Diego sells cakes at his bakery. There are two types of customers: new customers and club members. New customers arrive at a rate of 8 customers per hour, and club members return at a rate of 2 customers per hour. The inter-arrival times for each customer type are exponentially distributed. Currently, there are two waiting lines: one waiting line for new customers and a different line for club members. Each line has a dedicated staff member to provide service to customers in that line, and the staff member only provides service to their assigned line. Each staff member has the same average service rate of 12 customers per hour, and the service times are exponentially distributed., Notes: For questions 11, 12, 13, and 15, input your answer in minutes; that is, if your answer is 100.25 minutes, then input 100.25. For question 14, input your answer in customers per hour; that is, if your answer is 100.25 customers per hour, then input 100.25. Question 15 is a continuation of question 14. Question 11 On average, how long do new customers have to wait in line? (Answer in minutes) Question 12 On average, how long do club members have to wait in line? (Answer in minutes) 2 pts 2 pts Diego sells cakes at his bakery. There are two types of customers: new customers and club members. New customers arrive at a rate of 8 customers per hour, and club members return at a rate of 2 customers per hour. The inter-arrival times for each customer type are exponentially distributed. Currently, there are two waiting lines: one waiting line for new customers and a different line for club members. Each line has a dedicated staff member to provide service to customers in that line, and the staff member only provides service to their assigned line. Each staff member has the same average service rate of 12 customers per hour, and the service times are exponentially distributed., Notes: For questions 11, 12, 13, and 15, input your answer in minutes; that is, if your answer is 100.25 minutes, then input 100.25. For question 14, input your answer in customers per hour; that is, if your answer is 100.25 customers per hour, then input 100.25. Question 15 is a continuation of question 14. Question 11 On average, how long do new customers have to wait in line? (Answer in minutes) Question 12 On average, how long do club members have to wait in line? (Answer in minutes) 2 pts 2 pts