The Chattanooga Furniture store gets an average of 50 customers per shift. Marilyn Helms, the manager, wants to calculate whether she should hire 1, 2, 3, or 4 salespeople. She has determined that average waiting times will be 7 minutes withone salesperson, 4 minutes with two salespeople, 3 minutes with three salespeople, and 2 minutes with four salespeople. She has estimated the cost per minute that customers wait at $1. The cost per salesperson per shift (including fringebenefits) is $70.One Server:Total costpershiftdollars.%3D

Given data:Arrival rate = 50 customer/ shift Cost of waiting = $1 minute/customer Cost of sales…

Answered: The Chattanooga Furniture store gets an…

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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A Northwest Airlines ticket counter forecasts that 30 people per hour will need to check in. It takes an average of 1.5 minutes to service a customer. Assume that interarrival times and service times are exponential and that all customers wait in a single line for the first avaliable agent.If we want the average time a customer spends in line and in service to be 3 minutes or less, how many ticket agents should be on duty?
The bank manager is concerned with its waiting line system in his bank. Currently bank uses a single-server, single-line, single-phase system. Based on historical evidence, the average number of customers arriving per hour is C1 and is described by a Poisson distribution. The service rate is <=15 >11 customers per hour with the service times following an exponential distribution. The customers are come from an infinite population. The manager of the bank would like calculate the operational characteristics of the waiting line system that:(a) What is the average system utilization?(b) What is the average number of customers in the system? (c) What is the average number of customers waiting in line?(d) What is the average time a customer spends in the system?(e) What is the average time a customer spends waiting in line?
What is the answer in this number 2?
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
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.
A Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 4 workers, who produced an average of 87 carts per hour. Workers receive $13 per hour, and machine coast was $32 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $18 per hour while output increased by four carts per hour.a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/$) = ( ) (round to 4 decimal places).b) Compute the % growth in productivity between the Prior to and after buying the new equipment. The growth in productivity = ( ) % (round to 2 decimal places)
During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States, averaged loading or unloading 6.7 cargo ships per week. The average time to unload a ship is 1.90 days. Multiple cranes to load and unload the ship operate five days a week. Do not round intermediate calculations. 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) 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) If demand remains at 6.7 cargo ships per week and through better scheduling, training, and crane operations, the average time to unload a ship lowers to 1.10 days, how many ships are waiting? Round your answer up to the nearest whole number. ___ ship(s)
Give and explain briefly that in what kinds of situations is queuing analysis is most appropriate.
Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to nine. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.06 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.5 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 1 Lq = fill in the blank 2 L = fill in the blank 3 Wq = fill in the blank 4 hours W = fill in the blank 5 hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 6 Lq = fill in the blank 7 L = fill in the blank 8 Wq = fill…
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank

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