Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
9th Edition
ISBN: 9781119371618
Author: Roberta S. Russell
Publisher: Wiley (WileyPLUS Products)
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 21P
Summary Introduction
To explain: Determine if the company should add extra workers to reduce the processing time from the current 1.2 minutes to 0.90 minutes per unit. The current cost is $31 per unit per day and the faster
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of work-inprocess inventory at the workstation costs $31 per day (on average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit, at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.
Partially completed products arrive at a workstation in amanufacturing operation at a mean rate of 40 per hour(Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unitof in-process inventory at the workstation costs $31 perday (on the average). However, the company can add extraemployees and reduce the processing time to 0.90 minuteper unit at a cost of $52 per day. Determine whether thecompany should continue the present operation or addextra employees.
Customers arrive in a barber shop at an average rte of five per hour, the actual arrivals being Poisson distributed. There is one barber on duty at all times and there are four chairs for customers who arrive
when the barber is busy. Local fire ordinances limit the total number of customers in the shop at the same time to maximum of five. Customers who arrive when the shop is full are denied entrance and
their business is presumed lost. The barber's service time is exponentially distributed, but the mean changes with the number of customers in the shop. As the shop fills, the barber tries to speed service,
but actually becomes less efficient, as shown in the following table:
Number in Shop
Mean Service Time, minute
1
9
2
10
Determine:
a) the probability that the barber is idle. Answer in 4 decimal places.
b) the average number of people in the shop at the same time. Answer in 3 decimal places.
3
12
4
15
5
20
Chapter 5 Solutions
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Prob. 2.1ASCCh. 5 - Prob. 2.2ASCCh. 5 - Prob. 2.3ASCCh. 5 - Prob. 3.1ASCCh. 5 - Prob. 3.2ASCCh. 5 - Prob. 1QCh. 5 - Prob. 2Q
Ch. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9QCh. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 17QCh. 5 - Prob. 19QCh. 5 - Prob. 20QCh. 5 - Under what conditions will the single-channel,...Ch. 5 - Prob. 22QCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Annie Campbell is a nurse on the evening shift...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Drivers who come to get their licenses at the...Ch. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - The Waterfall Buffet in the lower level of the...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - The Baytown Post Office has four stations for...Ch. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - After reviewing your report above, Tech has...Ch. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 1.1CPCh. 5 - Prob. 1.2CPCh. 5 - Prob. 2.1CPCh. 5 - Prob. 2.2CPCh. 5 - Prob. 3.1CPCh. 5 - Prob. 4.1CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- During nearly four decades of business operations, Memphis-based FedEx has earned a reputation for reliable, on-time delivery of packages to homes and offices around the country. Founder Fred Smith originally focused on overnight deliveries, choosing Memphis as the company’s headquarters because the airport rarely closes due to bad weather. With FedEx’s planes departing and arriving on schedule nearly all the time, its express shipments usually remained on schedule, then and now. To reassure customers that delivery will take place when and where promised, the firm offers a money-back guarantee on time-sensitive express shipments, among other services. FedEx has steadily expanded its portfolio of services since the 1970s. Its original overnight express delivery is currently available to U.S. customers in various forms, including “first-overnight” delivery, next-morning delivery, next-afternoon delivery, and budget-pleasing two- or three-day delivery. The company’s services also include cost-effective ground delivery for parcels and extra-speedy same-day delivery for urgent deliveries within 1,800 cities. Over the years, FedEx has widened its delivery network to more than 220 countries. It has purchased more cargo jets and acquired specialized shipping firms, including Tiger International, Roberts Express, RPS, and TNT Express, to support global growth. For international business customers needing products, parts, or raw materials shipped across countries or continents, the company now offers time-saving services such as commercial freight forwarding and cross-border logistical support. To add the convenience of local drop-off and pickup points for U.S. consumers and small businesses, FedEx acquired the Kinko’s office services company in 2004 and later rebranded it as FedEx Office. This acquisition also added printing and copying to the menu of services offered. Then the company arranged for large U.S. retailers such as Walgreens, Albertsons, Kroger, and Safeway to accept packages for shipment and receive package delivery for customer pickup in thousands of store locations. This means people who want to send a package can head to a nearby retailer and ship where they shop, rather than making a separate trip to the FedEx location. It’s also a safe alternative for packages to be picked up by people who don’t want FedEx shipments left by the front door. Another service FedEx offers to small and mid-sized businesses, including retailers, is FedEx Fulfillment. The purpose is to expedite order fulfillment by having each business store its products in a FedEx warehouse. Then, when the business’s customers place orders, FedEx puts the products into boxes bearing the business’s own logo and ships directly to those customers. The business doesn’t need a separate warehouse or staff for fulfillment, and packages are on their way to customers more quickly because the products were in FedEx’s warehouse, ready to be packed and shipped. This service puts FedEx into direct competition with Amazon.com, which offers a similar service to merchants that sell through the online Amazon Marketplace. But it also gives businesses that don’t sell via Amazon a fast and professional fulfillment alternative. FedEx is careful to let customers know, through media and social-media announcements, when it anticipates that extreme weather or other conditions will cause delays or force it to halt pickups and deliveries. For the duration of Hurricane Irma, for example, FedEx said it would suspend deliveries in Florida. Some Florida customers who had ordered generators to be delivered via FedEx were unhappy, because they worried about being without power during and after the storm. But one FedEx employee loaded several generator orders into his car and took them to customers himself. When a customer posted a grateful compliment to FedEx on Facebook, the message generated thousands of likes, shares, and positive comments. The company also received positive comments for its donations of cash and transportation services to areas devastated by Hurricanes Irma, Harvey, and Maria. According to the American Customer Satisfaction Index (ACSI), FedEx often tops the list of U.S. shipping companies as ranked by customers surveyed. Every day, the company delivers 13 million packages—and during the busy year-end holiday season, it delivers many more. By meeting customers’ expectations for on-time deliveries, FedEx has increased annual revenues beyond $60 billion and positioned itself for continued growth in the future. How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?arrow_forwardTrucks arrive at a warehouse at a rate of 15 per hour during business hours. Crews canunload the trucks at a rate of five per hour. The high unloading rate is due to cargo beingcontainerized. Recent changes in wage rates have caused the warehouse manager to reexamine the question of how many crews to use. The new rates are: Crew and dock cost is$100 per hour; truck and driver cost is $120 per hour.arrow_forwardA chemical plant stores spare parts for maintenance in a large warehouse. Throughout the working day, maintenance personnel go to the warehouse to pick up supplies needed for their jobs. The warehouse receives a request for supplies, on average, every 2 minutes (Poisson distributed). The average request requires 1.7 minutes to fill (exponential service times). Maintenance employees are paid $20 per hour, and warehouse employees are paid $12 per hour. The warehouse is open 8 hours each day. What is the optimal number of warehouse employees to hire? (Hint: Time spent by maintenance workers waiting in line for supplies should be considered an expense.) What is the total cost per hour (waiting plus warehouse employee labor cost) of your solution?arrow_forward
- There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or μ=90 per hour (according to a negative exponential distribution). If the percentage of time used is 44% and the average length of the queue is 35 students and the average number is 80 then what is the average time spent waiting in the queue and the average time in the system (round your response to two decimal points).arrow_forwardThe local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arriveat the window at the rate of 10 per hour (Poisson distributed). It requires an average of4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a servicegoal of an average waiting time of 3 minutes. If the restaurant is not meeting its service goal, it can add a second drive-through window that will reduce the service time per customer to 2.5 minutes. Will the additional window enable the restaurant to meet its service goal?arrow_forwardAn ice cream stand has a single window and one employee to serve customers. During their busy season, 30 customers arrive each hour on average. It takes 1.5 minutes on average to serve a customer. What is the utilization of the employee?arrow_forward
- Please build and simulate the following model in ARENA.In this model, car loan applications arrive at processing center approximately every 5 minutes. At this point, 1 of 5 loan officers will review the application to ensure that it is complete. This review step usually takes 15 minutes, but can be as short as 12 minutes or as long as 18 minutes. Applications are sent to an automatic processing machine where they are processed. This process can take from 0.5 to 1.5 hours to complete, but usually requires 1 hour. It is assumed that the automatic processor can process as many applications as needed.After processing, the results are reviewed by a loan officer who will write either an acceptance or rejection document. This task usually takes 7 minutes, but can require anywhere from 5 to 10 minutes to complete.At this point the loan application process is complete, and the acceptance or rejection document is sent to the customer.Run this simulation for one 8-hour day (5 replications).arrow_forwardAt the stadium, there are seven lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 180 per minute and each customer takes (on average) 2.1 seconds for a worker to process. The coefficient of variation for arrival time is 1.3 and the coefficient of variation for service time is 1.3. (Round your answer to three decimal places) On average, how many customers will be waiting in the queue? customersarrow_forwardAn average of 36 customers per hour arrives at a bank branch office (Poisson arrival) and wait in a single line to be served by the first available teller. The average time for each teller to service a customer is 4 minutes (exponentially distributed). Each teller earns $160/day and the bank branch office assesses a waiting cost of $50/day that a customer waits in the system. How many tellers should be on duty in this bank branch office to minimize the total cost of this waiting line system? 2 4 5arrow_forward
- The Riverton Police Department has eight patrol cars thatare on constant call 24 hours per day. A patrol car requires repairs every 30 days, on average, according to an exponen-tial distribution. When a patrol car is in need of repair it is driven into the motor pool, which has a repairperson on duty at all times. The average time required to repair a pa-trol car is 12 hours (exponentially distributed). Determine the average time a patrol car is not available for use and theaverage number of patrol cars out of service at any onetime, and indicate if the repair service seems adequate.arrow_forwardSuppose a coffee shop order and fulfillment process is configured simply as a single queue with two steps: wait and service. Customers enter, wait their turn, and then are served, by placing and receiving their order all at once. Suppose that an average of 10 customers per hour enter the coffee shop while the shop is open. On average, there are two customers waiting in line to place their orders. It takes an average of 2 minutes to go through the service step, that is, it takes 2 minutes to complete the second step of placing and receiving the order. In steady state, O The average wait time before placing an order is 12 minutes. O The average time between customer arrivals is 5 minutes. O None of the answers are correct. There is an average of one customer being served at a time. O The average total time to wait and be served is 15 minutes.arrow_forwardI ONLY NEED HELP WITH PARTS B,C,D PLEASE The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.2 hours and a standard deviation of 1.4 hours. The company's cost of the repair operation is $27 per hour. In the economic analysis of the waiting line system, Robotics uses $36 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) ?= 0.375 IS CORRECT ?= 0.4545 IS CORRECT (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) Lq= 1.4622 IS WRONG L= Wq= h W= h Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,MarketingMarketingISBN:9780357033791Author:Pride, William MPublisher:South Western Educational Publishing
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Marketing
Marketing
ISBN:9780357033791
Author:Pride, William M
Publisher:South Western Educational Publishing