Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13.2, Problem 9P
a
Summary Introduction
Interpretation:
Reliability and CDF of the time until failure.
Concept Introduction:
Cumulative distribution function is a probability function in which probability is calculated that the variable takes less than or equal to x.
b
Summary Introduction
Interpretation:
Value of t
Concept Introduction:
Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In designing a new space vehicle, NASA needs to decide whether to provide 0, 1 or 2 backup systems for a critical component of the vehicle. The first backup system, if included, comes into use only if the original system fails. The second backup system, if included, comes into use only if the original system and the first backup system both fail. NASA engineers claim that each system, independent of the others, has a 1.5% chance of failing if called into use. Each backup system costs $70,000 to produce and install within the vehicle. Once the vehicle is in flight, the mission will be scrubbed (ended early) only if the original system and all backups fail. The cost of a scrubbed mission, in addition to production costs, is assessed to be $5,000,000. How many backup systems are needed to minimize NASA’s expected total cost?
Cassette tapes are still used in some handheld recording devices and in less expensive portable musical instrument recording devices. The desired speed of a cassette tape is 1.900 inches per second. Any deviation from this value causes a change in pitch and tempo and thus poor sound quality. Suppose that adjusting the tape speed under warranty when a customer complains and returns a device costs a manufacturer $20. Based on past information, the company knows the average customer will return a device if the tape speed is off the target by at least 0.200 inches per second; in other words, when the speed is either 2.100 or 1.700. Suppose that a technician tests the tape speed prior to packaging and can adjust the speed to the target of 1.900 at a cost of $6. What should the economic specification limit be? The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.
Questions
1. In the Taguchi…
Cassette tapes are still used in some handheld recording devices and in less expensive portable musical instrument recording devices. The desired speed of a cassette tape is 1.900 inches per second. Any deviation from this value causes a change in pitch and tempo and thus poor sound quality. Suppose that adjusting the tape speed under warranty when a customer complains and returns a device costs a manufacturer $20. Based on past information, the company knows the average customer will return a device if the tape speed is off the target by at least 0.200 inches per second; in other words, when the speed is either 2.100 or 1.700. Suppose that a technician tests the tape speed prior to packaging and can adjust the speed to the target of 1.900 at a cost of $6. What should the economic specification limit be? The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.
Question
4. What are the…
Chapter 13 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 13.1 - Prob. 3PCh. 13.1 - Prob. 4PCh. 13.1 - Prob. 5PCh. 13.1 - Prob. 6PCh. 13.2 - Prob. 7PCh. 13.2 - Prob. 9PCh. 13.3 - Prob. 13PCh. 13.3 - Prob. 14PCh. 13.4 - Prob. 15PCh. 13.4 - Prob. 16P
Ch. 13.4 - Prob. 17PCh. 13.4 - Prob. 18PCh. 13.4 - Prob. 19PCh. 13.4 - Prob. 20PCh. 13.6 - Prob. 21PCh. 13.6 - Prob. 22PCh. 13.6 - Prob. 23PCh. 13.6 - Prob. 24PCh. 13.6 - Prob. 25PCh. 13.7 - Prob. 26PCh. 13.7 - Prob. 27PCh. 13.7 - Prob. 28PCh. 13.7 - Prob. 30PCh. 13.7 - Prob. 31PCh. 13.7 - Prob. 32PCh. 13.7 - Prob. 33PCh. 13.7 - Prob. 34PCh. 13.8 - Prob. 35PCh. 13.8 - Prob. 36PCh. 13.8 - Prob. 37PCh. 13.8 - Prob. 38PCh. 13.8 - Prob. 39PCh. 13.8 - Prob. 40PCh. 13.8 - Prob. 41PCh. 13 - Prob. 42APCh. 13 - Prob. 43APCh. 13 - Prob. 44APCh. 13 - Prob. 45APCh. 13 - Prob. 46APCh. 13 - Prob. 48APCh. 13 - Prob. 49APCh. 13 - Prob. 51APCh. 13 - Prob. 52APCh. 13 - Prob. 53AP
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
- Deborah Kellogg buys Breathalyzer test sets for the Winter Park Police Department. The quality of the test sets from her two suppliers is indicated in the following table: For example, the probability of getting a batch of tests that are 1% defective from Winter Park Technology is .70. Because Kellogg orders 10,000 tests per order, this would mean that there is a .70 probability of getting 100 defective tests out of the 10,000 tests if Winter Park Technology is used to fill the order. A defective Breathalyzer test set can be repaired for $0.50. Although the quality of the test sets of the second supplier, Dayton Enterprises, is lower, it will sell an order of 10,000 test sets for $37 less than Winter Park. a) Develop a decision tree. b) Which supplier should Kellogg use?arrow_forwardDeborah Kellogg buys Breathalyzer test sets for the Winter Park Police Department. The quality of the test sets from her two suppliers is indicated in the following table: For example, the probability of getting a batch of tests that are 1% defective from Winter Park Technology is .70. Because Kellogg orders 10,000 tests per order, this would mean that there is a .70 probability of getting 100 defective tests out of the 10,000 tests if Winter Park Technology is used to fill the order. A defective Breathalyzer test set can be repaired for $0.50. Although the quality of the test sets of the second supplier, Dayton Enterprises, is lower, it will sell an order of 10,000 test sets for $37 less than Winter Park. a) Develop a Decision Treeb) Which supplier should Kellog use? Percent Defective Probability for Winter Park Technology Probability for Dayton Enterprises 1 0.70 0.30 3 0.20 0.30 5 0.10 0.40arrow_forwardAt DataTech Solutions, the reliability of their server systems is a critical factor in maintaining smooth operations. The company knows that the probability of a server experiencing no downtime due to technical issues is 0.95. When a server is functioning smoothly, there is a 0.9 probability that the network performance is also optimal. However, if a server encounters technical problems, the probability of having optimal network performance drops to 0.3. A server is chosen at random for assessment, and its network performance is found to be optimal. What is the updated probability that the server is running without any technical issues?arrow_forward
- Zemansky’s sells tires with a pro rata warranty. The tires are warranted to deliver50,000 miles with the rebate based on the remaining tread on the tire. The tires failon the average after 35,000 miles of wear. Suppose the tires sell for $50 each withthe warranty. If failures occur completely at random, what would be a consistentprice for the tires if no warranty were offered?arrow_forwardDeborah Kellogg buys Breathalyzer test sets for the Denver Police Department. The quality of the test sets from her two suppliers is indicated in the following table: percent defective probability for winter park probability for technology dayton enterprise 1% 0.65 0.25 3% 0.25 0.25 5% 0.10 0.50 For example the probability of getting a batch of tests that are 1% defective from Winter park technology is 0.65. Because Kellogg orders 10,000 tests per order, this would mean there is a 0.65 probability of getting 100 defective tests out of the 10,000 tests if Winter park technology is used to fill the order. A defectice breathalyzer test can be repaired for $0.50. Although the quality of the…arrow_forwardIf the probability of a defective light bulb is 0.07, to be 90 % confident, up to how many defective lightbulbs should you expect in a sample of 39 lightbulbs? F-1(0.9)= (Specify your answer as a whole number.)arrow_forward
- What is an example of a learning objective for a lesson on Integrating Writing in Math in a first-grade classroom? The learning objective should include the following required components: behavior, condition, and measurable criterion that aligns with both of the below standards. Math Standard Solve real-world problems involving addition and subtraction within 20 in situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all parts of the addition or subtraction problem (e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem). Writing Standard Produce (when writing or speaking) a topic sentence or main idea, provide some facts or details about the topic, and provide a concluding statement.arrow_forwardA producer of pocket calculators estimates that the calculators fail at a rate of oneevery five years. The calculators are sold for $25 each with a one-year freereplacement warranty but can be purchased from an unregistered mail-ordersource for $18.50 without the warranty. Is it worth purchasing the calculator withthe warranty? For Problem 37, what length of period of the warranty equates the replacementcosts of the calculator with and without the warranty?arrow_forwardJankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 20 percent are returned. If nine rings are sold today, what is the probability that fewer than four will be returned? A- 0.914 B- 0.962 C- 0.923 D- 0.935arrow_forward
- A software company recently designed and developed a new service for its customers. However, it needs to decide whether to launch the service next month or wait for six months. The company performs research and discovers the probability of success for both options, along with their potential revenue. It also learns the probability of failure and corresponding losses for each. *Option A: Launching the service next month has a 55% probability of success with potential revenue of $250,000. It has a 45% probability of failure with a potential loss of $125,000.* *Option B: Launching the service in six months has a 65% probability of success with potential revenue of $400,000. It has a 35% probability of failure with a potential loss of $200,000.* Which option should the company pursue?arrow_forwardA component has a reliability that fits the exponential distribution. The Mean Time Between Failure for the component is 2500 cycles. What is the probability that the component will not fail before 7500 cycles? ( don't hand writing solution)arrow_forwardA family of mutual funds maintains a service that allows clients to switch money among accounts through a telephone call. It was estimated that 3.2% of callers either get a busy signal or are kept on hold so long that they may hang up. Fund management assesses any failure of this sort as a $10 goodwill loss. Suppose that 2,000 calls are attempted over a particular period. a. Find the mean and standard deviation of the number of callers who will either get a busy signal or may hang up after being kept on hold. b. Find the mean and standard deviation of the total goodwill loss to the mutual fund company from these 2,000 calls.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,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.