Marty's Barber Shop has one barber. On average, every 25 minutes one customer arrives to the...

   

Transcribed Image Text:

Marty's Barber Shop has one barber. On average, every 25 minutes one customer arrives to the store and it takes 10 minutes to complete one haircut. The waiting line model assumptions of Poisson arrivals and exponential service times appear reasonable for this service system. Marty is concerned to lose his customers to the new barbershop in the neighborhood. Answer to the following questions to help Marty assess his business performance. (Each question 5 points) A) What percentage of the customers will take less than 12 minutes to receive service? B) What is the total probability of receiving exactly 1 or exactly 2 customers in half an hour? C) What is the utilization of Marty as a server? D) Can you help Marty estimate the average and variation of service time in terms of minutes? E) What percentage of time Marty has no customer (i.e. he is idle)? F) Marty works 8 hours per day. Marty has to pay $120 per day for hair products. He gains $30 per customer's haircut. How many customers he needs to have per day to cover his hair products expenses? What is the probability of having that many customers in the system in a day? Marty's Barber Shop has one barber. On average, every 25 minutes one customer arrives to the store and it takes 10 minutes to complete one haircut. The waiting line model assumptions of Poisson arrivals and exponential service times appear reasonable for this service system. Marty is concerned to lose his customers to the new barbershop in the neighborhood. Answer to the following questions to help Marty assess his business performance. (Each question 5 points) A) What percentage of the customers will take less than 12 minutes to receive service? B) What is the total probability of receiving exactly 1 or exactly 2 customers in half an hour? C) What is the utilization of Marty as a server? D) Can you help Marty estimate the average and variation of service time in terms of minutes? E) What percentage of time Marty has no customer (i.e. he is idle)? F) Marty works 8 hours per day. Marty has to pay $120 per day for hair products. He gains $30 per customer's haircut. How many customers he needs to have per day to cover his hair products expenses? What is the probability of having that many customers in the system in a day?

Answer rating: 100% (QA)

a what pecentage of the customers will take less than 12 minutes to ne ceive Sesvice So z... View the full answer