a
Interpretation:
Probability of not requiring replacement of module which was sent on a six month mission.
Concept Introduction:
Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.
b
Interpretation:
Probability of fifth failure is more than one year after devices are placed into service.
Concept Introduction:
Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.
c
Expected time to use all 40 spares.
Concept Introduction:
Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.
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Chapter 13 Solutions
Production and Operations Analysis, Seventh Edition
- An injection molding system has a first cost of $90,000, and an annual operating cost of $42,000 in year 1, increasing by $5000 per year thereafter. The salvage value of the system is 30,000 if you sell after 1 year of use. The salvage value decreases by $5,000 each year thereafter. The maximum useful life of the machine is 4 years. Using a MARR of 20% per year, determine the ESL and the corresponding Equivalent Annual Cost of the system.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 machine with constant failure rate, has a probability of 0.5 that it will survive a period of 100 hrs operation. Determine the failure rate, MTTF, probability the machine survive in MTTF and determine the probability the machine will survive in 500Hours without failarrow_forward
- Statement of the Problem and Solutions Rollin King and Herb Kelleher started Southwest Airlines in 1971 with this idea: if they could take airline passengers where they want to go, on time, at the lowest possible price, and have a good time while doing it, people would love to fly their airline. The result? No other airline in the industry's history has enjoyed the customer loyalty and extended profitability for which Southwest is now famous. The company now flies more than 3,400 times each day to over 64 destinations across the United States There's more to the story, however, than making promises and hoping to fulfill them. A large part of Southwest Airlines' success lies in its ability to plan long-term capacity to better match demand, as also improving the utilization of its fleet by turning around an aircraft at the gate faster than its competitors. Capacity at Southwest is measured in seat miles, and even a single minute reduction in aircraft turnaround time system wide means…arrow_forwardThe local preschool resides at a church. Children that attend the church and other community members use the playground on a regular basis. What safety issues might result from the playground being available for use to other people other than the preschool? How might this affect the selection of equipment and storage for the playground?arrow_forwardA weather satellite has an expected life of 10 years from the time it is placed into earth orbit. Determine its probability of no wear-out before each of the following lengths of service. Assume theexponential distribution is appropriate.a. 5 years b. 12 years c. 20 years d. 30 yearsarrow_forward
- The Operations Manager at the TerraCycle London Recycling Centre is currently strategizing for The upcoming Easter period, anticipating an increase in workload during that time. Consequently, there is an increased concern regarding the readiness of the recycling machines To handle the additional loads. To address this, a set of 20 machines in the sortation and Aggregation stage underwent a testing phase lasting 2,000 hours. Unfortunately, during this Testing period, three machines experienced failures at the following intervals: Failure 1 occurred at 1150 hours. Failure 2 occurred at 1300 hours. Failure 3 occurred at 1550 hours. 1. Compute the failure rate based on the number of machines tested and the operating time. 2. Calculate the Mean Time Between Failures (MTBF) for the tested machines. 3. Provide an interpretation of the results and recommend strategies for the Operations Manager to effectively manage the identified risks. 4. After successfully completing this test at the London…arrow_forwardThe Operations Manager at the TerraCycle London Recycling Centre is currently strategizing for The upcoming Easter period, anticipating an increase in workload during that time. Consequently, there is an increased concern regarding the readiness of the recycling machines To handle the additional loads. To address this, a set of 20 machines in the sortation and Aggregation stage underwent a testing phase lasting 2,000 hours. Unfortunately, during this Testing period, three machines experienced failures at the following intervals: Failure 1 occurred at 1150 hours. Failure 2 occurred at 1300 hours. Failure 3 occurred at 1550 hours. 1. Compute the failure rate based on the number of machines tested and the operating time. 2. Calculate the Mean Time Between Failures (MTBF) for the tested machines. 3. Provide an interpretation of the results and recommend strategies for the Operations Manager to effectively manage the identified risks. 4. After successfully completing this…arrow_forwardEach breakdown of a graphic plotter table at AirbusIndustries costs $50. Find the expected daily breakdown cost,given the following data:arrow_forward
- A mechanical engineer must recommend an A/C system to a commercial building owner. The owner uses and MARR of 6%, but is not sure how long he will own the building. A conventional split system has a design life of 10 years, a cost of $52,000, and annual operating costs of $15,000. A chilled water system has an initial cost of $68,000 and annual operating costs of $14,000. Assuming each unit has no salvage value and will be identically replaced for the life of the building, determine how long the chilled water system needs to last for it to be the best choice (i.e. determine the breakeven useful life for the chilled water system). Express your answer in years to the nearest whole year.arrow_forwardDigital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time available and 1,080 minutes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI occasionally…arrow_forwardA rural cooperative purchased a trencher at a cost of P230,500.00. It is estimated that the trencher will have a salvage value of P25,000.00 after digging 300,000 meters of irrigation canals. Determine the book value of the trencher after two years, if it was used to dig 50,000 meters on the first year and 75,000 meters on the second year. (Ans. P144,875.00)arrow_forward
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