Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrivaldistribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at arate of 4.0 per hour. It will take Benny an average of 8 minutes to give a haircut. Based on these figures, find the following:a. The average number of customers waiting.Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.Average number of customers waitingb. The average time a customer waits.Note: Round your answer to 2 decimal places.Average waiting timeminutes c. The average time a customer is in the shop.Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.Average timeminutesd. The average utilization of Benny's time.Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.Average utilization%

Arrival rate = 4.0 customers per hourBenny's average service time = 8 minutes to give a haircut.In,…

Answered: Benny the Barber owns a one-chair shop.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States, averaged loading or unloading 5.5 cargo ships per week. The average time to unload a ship is 1.95 days. Multiple cranes to load and unload the ship operate six days a week. Do not round intermediate calculations. a. How many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ship(s) b. During the pandemic, at times, demand doubled, how many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ship(s) C. If demand remains at 5.5 cargo ships per week and through better scheduling, training, and crane operations, the average time to unload a ship lowers to 1.05 days, how many ships are waiting? Round your answer up to the nearest whole number. ship(s)
A drive-through at a Fast Food serves 424 customers over a 10-hour day. On average, a customer spends 3 minutes waiting in line, 7 minutes placing the order, and 4 minutes completing the order before leaving the drive-through. How many customers on average are "in" the drive-through (i.e., from the time they enter to the time they exit the drive-through) on a typical day? (Specify your answer in two decimal points)
United Raiders Drive-In Market has one checkout counter where one employee operates the cash register. The combination of the cash resister and the operator is the server in this queuing system; the customers who line up at the counter to pay their selections form the waiting line. Customers arrive at a rate of 24 per hour according to a Poisson distribution, and service times are on average equal to 2 minutes per customer. What is the number of customers waiting in the queue on average?
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The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.a) What is the probability of having 0 patients in the system (P 0 )?
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ Wa { é L = P q = || W = W = h h (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W (in minutes) = What action do you recommend? (Select all that apply.) Increase the hours of operation. Increase the mean service rate. Hire another consultant. Decrease the mean service rate. There is no need to change the current operating parameters. min, which is greater ✓than…
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