Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 14.S, Problem 2P
The frequency of breakdown of a machine that issues lottery tickets is given in the following table. Repairs cost an average of $240. A service firm is willing to provide preventive maintenance under either of two options: #1 is $500 and covers all necessary repairs, and #2 is $350 and covers any repairs after the first one. Which option would have the lower expected cost: pay for all repairs, service option #1, or service option #2?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Shauna’s Fast-food Service is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poison probability distribution, with an arrival rate of 24 cars per hour and the service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered:
A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.
A single-server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.25 minutes
A two-server operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from…
Shauna’s Fast-food Service is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poison probability distribution, with an arrival rate of 24 cars per hour and the service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered:
A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.
A single-server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.25 minutes
A two-server operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from…
A hospital has three independent fire alarm systems, with reliabilities of .95, .97, and .99. In the event of a fire, what is the probability that a warning would be given?
Chapter 14 Solutions
Operations Management
Ch. 14.S - Prob. 1DRQCh. 14.S - Prob. 2DRQCh. 14.S - Prob. 3DRQCh. 14.S - Prob. 4DRQCh. 14.S - Prob. 5DRQCh. 14.S - Prob. 6DRQCh. 14.S - Prob. 7DRQCh. 14.S - Prob. 8DRQCh. 14.S - Prob. 9DRQCh. 14.S - Prob. 10DRQ
Ch. 14.S - The probability that equipment used in a hospital...Ch. 14.S - The frequency of breakdown of a machine that...Ch. 14.S - Prob. 3PCh. 14 - Prob. 1DRQCh. 14 - Prob. 2DRQCh. 14 - Prob. 3DRQCh. 14 - Prob. 4DRQCh. 14 - Prob. 5DRQCh. 14 - Prob. 6DRQCh. 14 - Prob. 7DRQCh. 14 - Contrast push and pull methods ofmovi.ttg goods...Ch. 14 - Prob. 9DRQCh. 14 - Prob. 10DRQCh. 14 - Prob. 1TSCh. 14 - Prob. 2TSCh. 14 - Prob. 3TSCh. 14 - Prob. 1CTECh. 14 - Prob. 2CTECh. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Prob. 3PCh. 14 - Determine the number of cycles per day and the...Ch. 14 - Given this set of daily service operations, and...Ch. 14 - Determine the number of cycles per day and a...Ch. 14 - Compute the takt time for a system where the total...Ch. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - What might Stephanie determine as the best...
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
- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.arrow_forwardIt costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.arrow_forwardThe Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.arrow_forward
- The College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the five copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days (or l = 0.40 failure/day). The college has a maintenance contract with the authorized dealer of the copy machines. Because the copy machines fail so frequently, the dealer has assigned one person to the college to repair them. The person can repair an average of 2.5 machines per day. Using the finite-source model, answer the followingquestions: a. What is the average utilization of the maintenance person?b. On average, how many copy machines are being repaired or waiting to be repaired?c. What is the average time spent by a copy machine in the repair system (waiting and being repaired)?arrow_forwardWillow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random. Assume that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4 customer per minute can be used to describe the arrival pattern. Assume further that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. a. Use the single-channel drive-up bank teller operation to determine the probability that no customers are in the system b. Use the single-channel drive-up bank teller operation to determine the average number of customers waiting c. Use the single-channel drive-up bank teller operation to determine the average number of customers in the systemarrow_forwardWillow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random. Assume that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4 customer per minute can be used to describe the arrival pattern. Assume further that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. a. Use the single-channel drive-up bank teller operation to determine the average time a customer spends waiting b. Use the single-channel drive-up bank teller operation to determine the average time a customer spends in the system c. Use the single-channel drive-up bank teller operation to determine the probability that arriving customers will have to wait for service d.Use the single-channel drive-up bank teller operation…arrow_forward
- Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random. Assume that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4 customer per minute can be used to describe the arrival pattern. Assume further that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. 1.) Use the single-channel drive-up bank teller operation to determine the probability of 4 customers in the system 2.) Use the single-channel drive-up bank teller operation to determine the average arrival time in minutes of customers 3.) Use the single-channel drive-up bank teller operation to determine the average service time in minutes of the drive-up tellerarrow_forwardJobs arrive at Loaf Machine Shop. Assume the arrival rate is five jobs per hour. Service times (in minutes per job) do not follow the exponential probability distribution. Two proposed designs for Loaf Machine Shop operation are shown. Design Mean Standard Deviation A 6.0 3.0 B 6.25 0.6 What is the service rate in jobs per hour for each design? For the service rate in part (a), what design appears to provide the best or fastest service rate?arrow_forwardWilliams Auto has a machine that installs tires. The machine is now in need of repair. The machineoriginally cost $10,000 and the repair will cost $1,000, but the machine will then last two years.The labor cost of operating the machine is $0.50 per tire. Instead of repairing the old machine,Williams could buy a new machine at a cost of $5,000 that would also last two years; the labor costwould then be reduced to $0.25 per tire. Should Williams repair or replace the machine if it expectsto install 10,000 tires in the next two years?arrow_forward
- On a certain route, an airline carries 8000 passengers per month, each paying $50. A market survey indicates that for each $1 increase in the ticket price, the airline will lose 100 passengers. Find the ticket price that will maximize the airline’s monthly revenue for the route. What is the maximum monthly revenue?arrow_forwardWill and Jason Najami are going to open a swimming pool service this summer. They will put in pools, repair damaged ones, and provide a pool cleaning service. They have decided to use a service guarantee as their primary service recovery tool. How can they make sure that their service guarantee is effective?arrow_forwardThe College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the five copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days (or π = 0.40 failure/day). The college has a maintenance contract with the authorized dealer of the copy machines. Because the copy machines fail so frequently, the dealer has assigned one person to the college to repair them. The person can repair an average of 2.5 machines per day. Using the finite-source model, answer the following questions:a. What is the average utilization of the maintenance person?b. On average, how many copy machines are being repaired or waiting to be repaired?c. What is the average time spent by a copy machine in the repair system (waiting and being repaired)?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,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Forecasting 2: Forecasting Types & Qualitative methods; Author: Adapala Academy & IES GS for Exams;https://www.youtube.com/watch?v=npWni9K6Z_g;License: Standard YouTube License, CC-BY
Introduction to Forecasting - with Examples; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=98K7AG32qv8;License: Standard Youtube License