For the first four minutes of the day, the arrival rate at the gas station is 50 vehicles per minute. The gas station is capable of serving- 44 vehicles per minute. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for vehicles during this time period (in minutes)? minute
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- For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The donut shop is capable of serving 8 customers per hour. Assume that the system is empty at the start and that no customer who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for customers during this time period (in hours)? hourFor the first three minutes of the day, the arrival rate at the book store is 23 customers per minute. The book store is capable of serving 21 customers per minute. Assume that the system is empty at the start and that no customer who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for customers during this time period (in minutes)? minuteFor the first five seconds of the day, the arrival rate at the dentist's office is 19 patients per second. The dentist's office is capable of serving 16 patients per second. The last patients arrives exactly five seconds after the start of the day. Assume that the system is empty at the start and that no patient who arrives leaves without being served. (Round your answer to 2 decimal places.) How long will that patients be in the dentist's office (in seconds)? second
- In queuing theory and modeling, if 1/μ represents mean service time. Whatdoes μ represent? Service rateInterarrival time Arrival rate NoneWhat effect will decreasing the variability of the service rate have on the performance of the queuing system (all else being the same)? reduce customer average waiting time in the system cannot be determined without additional information while more customers, they arrive at separate times & create a shorter queue the queue moves faster thanks to a faster arrival rateCustomers arrive at Rich Dunn's Styling Shop at a rate of 3 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 8 haircuts per hour. What is the number of average customers waiting for haircuts? (Round to two decimals) What is the average number of customers in the shop? (Round to two decimals) The average time a customer waits until it is his or her turn = minutes (Round to two decimals) The average time a customer spends in the shop = munites (Round to two decimals) The percentage of time that Rich is busy = percent (Roound to nearest whole number)