Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 3.0 per hour. It will take Benny an average of 14 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 waiting b. The average time a customer waits. Note: Round your answer to 2 decimal places. Average waiting time minutes

Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 3.0 per hour. It will take Benny an average of 14 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 waiting b. The average time a customer waits. Note: Round your answer to 2 decimal places. Average waiting time minutes

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...

See similar textbooks

Related questions

Q: A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and…

A: Arrival rate (λ) = 6 Service rate(μ) = 2 every 15 minutes μ = 60*215 = 8

Q: Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson…

A: Here, given the data stated below, The arrival rate is 2 per hour and the service rate is 6 per…

Q: Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute.…

A: Queuing theory is the mathematical formulation of the queuing system its waiting time, service rate,…

Q: a. Customers queue at the express aisle of a supermarket checkout at the rate of 16 per hour.…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: The common measures of a queuing system's performance include: O probability that the service…

A: Concept of waiting lines in a system give rise to the need of studying queue system. Waiting line is…

Q: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal…

A: Benny's market survey data- customers arrive at a rate = 4.0 per hour Benny's average time of 11…

Q: Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso 2000…

A: Arrival Rate = Service Rate =

Q: Explain how the design of a waiting system can negatively affect customers.

A: The waiting line is built on the customer's estimated service time and is used in the philosophy of…

Q: a. What is the average length of the waiting line? (Round your answer to 2 decimal places.) b.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Demand at the Krispy Kreme drive-through has jumped up with the new restrictions on inside dining.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Agan Interior Design provides home and office decorating assistance to its customers. In normal…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please Hwlp!!!!!!!

Q: Customers arrive at Rich Dunn's Styling Shop at a rate of 4 per hour, distributed in a Poisson…

Q: In an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6…

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to…

A: Note:- We’ll answer the first three subparts of the question since the exact one wasn’t specified.…

Q: 3c. Customers arrive at a Starbucks that has 1 barista and they wait in line on a first-come, first-…

A: Given, Arrival rate,λ =12 per hour Service rate, μ=60/3.5 =17.14 customers per hour Standard…

Q: Agan Interior Design provides home and office decorating assistance to its customers. In normal…

A: Given data Average consultant time with each customer = 10 minutes with each customer Service rate…

Q: C) A carpentry shop receives orders according to the Poisson distribution with a mean of 6/day. On…

A: Given data:Arrival rate (λ) = 6 orders per hourService rate (μ) = 2.2 orders per hourNumber of…

Q: A post office clerk operates with 75% utilization. The coefficient of variation for the service…

A: Given that,Ce = Coefficient for service process Ca = Coefficient for arrival process U = Server…

Q: Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would…

A: Given that - Arrival Time (λ) =2 customers per hour Service Time (μ) = 20 minutes, or 6020= 3…

Q: #9

A: Given Information - λ=10 customers per hour one customer served in 3 minutes. μ = 603=20…

Q: 13. Suppose AirOM passengers arrive to the check-in desk every 100 seconds (on average). The desk is…

Q: Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Below are the data of the gasoline station. Number of gas pumps = 1 Policy of the gasoline station…

A: Given- Price of Gasoline if a customer will wait = Php 45 Price of Gasoline if a customer will not…

Q: Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would…

A: Two fundamental ideas in queuing theory, the study of waiting for lines or queues, are arrival rate…

Q: During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States,…

A: The objective of the question is to calculate the average number of ships waiting to be unloaded at…

Question

Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival
distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a
rate of 3.0 per hour. It will take Benny an average of 14 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 waiting
b. The average time a customer waits.
Note: Round your answer to 2 decimal places.
Average waiting time
minutes

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 time
minutes
d. 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
%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduce the given data:

VIEW

Step 2: Determine the average number of customers waiting:

VIEW

Step 3: Determine the average time a customer waits:

VIEW

Step 4: Determine the average time a customer is in the shop:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

are you able to solve part D as well? thank you!

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

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)
Please do not give solution in image format thanku
Need answer asap
What is the answer in this number 2?
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…
A call centre operates with two customer service representatives. Customers call the centre according to a Poisson process with an average rate of 10 calls per hour. The service times follow an exponential distribution with a mean service rate of 6 calls per hour per representative. The goal is to analyse the performance of this queuing system and determine key metrics.
Pasquist Water Company (PWC) operates a 24-hour facil-ity designed to efficiently fill water-hauling tanker trucks.Trucks arrive randomly to the facility and wait in line to ac-cess a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the timeto fill a truck is also random.a. If the manager of PWC uses the multiple-server modelto calculate the operating characteristics of the facility’swaiting line, list three assumptions she must make regard-ing the behavior of waiting trucks and the truck arrivalprocess.b. Suppose an average of 336 trucks arrive each day, thereare four wellhead pumps, and each pump can serve anaverage of four trucks per hour.▪ What is the probability that exactly 10 trucks will arrivebetween 1:00 p.m. and 2:00 p.m. on any given day?▪ How likely is it that once a truck is in position at a well-head, the filling time will be less than 15 minutes?c. Contrast and comment on the performance differencesbetween:▪…
Picture
Josh’s Hot Dogs is a one-person hot dog stand, and normally gets about 14 customers per hour. Assuming that Josh can serve one customer in about 3 minutes. What impact does this have on the queuing characteristics? Specifically, the following questions:a. Mean number of customer in the queue b. Mean number of customer in the system: c. Mean waiting time in the queue:d. Mean waiting time in the system:e. Utilization factor for the system:f. Probability of more than 1 customer in the system at any given time.g. Do you think he has an acceptable queuing system?
. At a car washing service facility customers arrive at the rate of 8 cars per hour. The service can manage an average of 12 cars per hour. The arrivals follow a Poisson distribution and the service follows a Exponential distribution. Calculate a) Utilization of the system b) Average number of customers in the system c) Average time customers spend in the system
The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested:(a) Give the average utilization of the service system with the three tellers.b) What is the probability of arriving at the bank with no one there?c) What is the average number of customers waiting in line?d) On average how long does a customer wait in line to be served?e) On average how many customers would be served at a teller and waiting in line?
Last National Bank is concerned about the level of service at its single drive-in window. A study of customer arrivals during the window’s busy period revealed that, on average, 20 customers per hour arrive, with a Poisson distribution, and they are given FCFS service, requiring an average of 2 minutes, with service times having a negative exponential distribution. a. What is the expected number of customers waiting in queue? b. If Last National were using an automated teller machine with a constant service time of 2 minutes, what would be the expected number of drive-in customers in the system? c. There is space in the drive for three cars (including the one being served). What is the probability of traffic on the street being blocked by cars waiting to turn into the bank driveway? d. Last National is considering adding tellers at the current drive-in facility. It has decided on $5 per hour as the imputed cost of customer waiting time in the system. The hourly cost of a teller is $10.…