EBK OPERATIONS MANAGEMENT
13th Edition
ISBN: 8220103675987
Author: Stevenson
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.S, Problem 3P
A system consists of three identical components. In order for the system to perform as intended, all of the components must perform. Each has the same probability of performance if the system is to have a .92 probability of performing, what is he minimum probability of performing needed by each of the individual components?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A system consists of three identical components. In order for the system to perform as intended, all of the components must perform. Each has the same probability of performance. If the system is to have a .92 probability of performing, what is the minimum probability of performing needed byeach of the individual components?
A product engineer has developed the following equation for the cost of a system component: C = (10P) 2, where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate forthe system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?
a factory that produces a small number of items per day. In about 30% of working days the factory produces 7 units of the product, in 45% of working days it produces 8 units, and the rest of working days it produces 9 units. After production is completed, each unit is thoroughly inspected. Each unit fails inspection with probability ??. If two or more units fail inspection on the same day, the factory closes for a week to re-calibrate equipment. Say the factory opens today after being closed for a week, write a mathematical expression to calculate the probability that the factory will remain open at least 30 days before closing again.
Chapter 4 Solutions
EBK OPERATIONS MANAGEMENT
Ch. 4.4 - Prob. 1.1RQCh. 4.4 - Prob. 1.2RQCh. 4.8 - LEGO A/S IN THE PINK Lego A/S overcame the recent...Ch. 4.8 - Prob. 2.1RQCh. 4.8 - Prob. 2.2RQCh. 4.11 - THE CHALLENGES OF MANAGING SERVICES Services can...Ch. 4.11 - THE CHALLENGES OF MANAGING SERVICES Services can...Ch. 4.S - Prob. 1DRQCh. 4.S - Prob. 2DRQCh. 4.S - Prob. 3DRQ
Ch. 4.S - Consider the following system: Determine the...Ch. 4.S - A product is composed of four parts. In order for...Ch. 4.S - A system consists of three identical components....Ch. 4.S - A product engineer has developed the following...Ch. 4.S - The guidance system of a ship is controlled by a...Ch. 4.S - One of the industrial robots designed by a leading...Ch. 4.S - A production line has three machines A, B, and C,...Ch. 4.S - Prob. 8PCh. 4.S - A Web server has five major components that must...Ch. 4.S - Repeat Problem 9 under the condition that one of...Ch. 4.S - Hoping to increase the chances of reaching a...Ch. 4.S - An electronic chess game has a useful life that is...Ch. 4.S - A manufacturer of programmable calculators is...Ch. 4.S - Lucky Lumen light bulbs have an expected life that...Ch. 4.S - Prob. 15PCh. 4.S - Prob. 16PCh. 4.S - A major television manufacturer has determined...Ch. 4.S - Prob. 18PCh. 4.S - Determine the availability for each of these...Ch. 4.S - Prob. 20PCh. 4.S - A manager must decide between two machines. The...Ch. 4.S - Prob. 22PCh. 4.S - Auto batteries have an average life of 2.7 years....Ch. 4 - Prob. 1DRQCh. 4 - Prob. 2DRQCh. 4 - Prob. 3DRQCh. 4 - Prob. 4DRQCh. 4 - Prob. 5DRQCh. 4 - Prob. 6DRQCh. 4 - Prob. 7DRQCh. 4 - Prob. 8DRQCh. 4 - a. What is meant by the term life cycle? b. Why...Ch. 4 - Prob. 10DRQCh. 4 - Prob. 11DRQCh. 4 - Prob. 12DRQCh. 4 - Prob. 13DRQCh. 4 - Explain what quality function development is and...Ch. 4 - Prob. 15DRQCh. 4 - Prob. 16DRQCh. 4 - Prob. 17DRQCh. 4 - Prob. 18DRQCh. 4 - Prob. 19DRQCh. 4 - Describe some of the trade-off that are...Ch. 4 - Prob. 2TSCh. 4 - Prob. 3TSCh. 4 - Prob. 1CTECh. 4 - Prob. 2CTECh. 4 - Prob. 3CTECh. 4 - Prob. 4CTECh. 4 - Prob. 5CTECh. 4 - Give two examples of unethical conduct involving...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prepare a service blueprint for each of these...Ch. 4 - Prepare a service blueprint for each of these post...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prepare a table similar to that shown in Problem...
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_forwardA product engineer has developed the following equation for the cost of a system component: C = (10P)2, where is the cost in dollars and Pis the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate for the system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?arrow_forwardA product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a 0.96 probability of functioning, and two have a probability of 0.99. (Leave your answers in 4 decimal places).arrow_forward
- A product engineer has developed the following equation for the cost of a system component: C = (10P)2, where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of 3 identical components, all of which must operate for the system to operate. The engineer can spend $254 for the 3 components. What is the largest component probability that can be achieved? (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) Probability 0.8466arrow_forward9.19 In bottle production, bubbles that appear in the glass are considered defects. Any botle that has more than two bubbles is elassified as "nonconforming" and is sent to recycling Suppose that a particular production line produces bottles with bubbles at a rate of 1. bubbles per bottle. Bubbles occur independently of one another. a What is the probability that a randomly chosen bottle is nonconfornming? b Bottles are packed in cases of 12. An inspector chooses one bottle from each case and examines it for defects. If it is nonconforming, she inspects the entire case, re placing nonconforming bottles with good ones. This process is called rectification If the chosen bottle conforms (has two or fewer bubbles), then she passes the cuse. In total, 20 cases are produced. What is the probability that at least 18 of them pass! c What is the expected number of nonconforming bottles in the 20 cases after they have been inspected and rectified using the scheme described in part b?arrow_forwardThe mean repair time of a reproduction machine every time it becomes defective is 5 hours, and is assumed to be available 95% of the time. What is its mean time between failure (MTBF)?arrow_forward
- A company owns two adjacent builds, and in each building, there is one piece of equipment that operates separately from one another. Based on past history, equipment 1 is expected to break down 7 times a year, with a variance of 3, and costs $600 per breakdown. equipment 2 is expected to break down 9.2 times per year, with a variance of 2.1, and costing $245 per breakdown. 1. What is the company’s expected cost for equipment breakdowns? 2. What is the variance of the breakdown cost? Provide set up of work to compare notes.arrow_forwardMonte-Carlo Simulation: Run an MC by simulating 1000 versions of the GBM with the following parameters; Start Value=100 Expected change in each time step (drift): 0% (μ) Volatility (st-dev of random noise): 2% (sigma) Number of Time Steps: 500 According to the simulated 1000 scenarios, what is the probability of reaching a value below 100 (i.e. the starting value) after 500 steps? According to the simulated 1000 scenarios, what is the probability of reaching a value below 75 (i.e. the starting value) after 500 steps? Show with a Python code and the simulation output as a Histogram of values reached at the 500th step. (i.e. Histogram of 1000 final values observed in each of the simulated path)arrow_forwardA major television manufacturer has determined that its 40-inch LED televisions have a meanservice life that can be modeled by a normal distribution with a mean of six years and a standarddeviation of one-half year.a. What probability can you assign to service lives of at least (1) five years? (2) six years? (3)seven and one-half years?arrow_forward
- A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a .96 probability of functioning, and twohave a probability of .99. What is the overall probability that the product will function properly?arrow_forwardTopford supplies X-Data DVDs in lots of 50, and they have a reported defect rate of 0.5% so the probability of a disk being defective is 0.005. It follows that the probability of a disk being good is 0.995. What is the probability of getting at least one defective disk in a lot of 50? Group of answer choices None of the above 0.0562 Approximately 0 0.0246arrow_forwardA typical retail transaction consists of several smaller steps, which can be considered components subject to failure. A list of such components might include: Let the eight probabilities of success be .92, .94, .99, .99, .98, .97,.95, and .96. What is the reliability of the system; that is, the probabilitythat there will be a satisfied customer? If you were the storemanager, what do you think should be an acceptable value forthis probability? Which components would be good candidatesfor backup, which for redesign?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,
Process selection and facility layout; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=wjxS79880MM;License: Standard YouTube License, CC-BY