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
EBK PRODUCTION AND OPERATIONS ANALYSIS
- 5. Meg Jones, the CEO of Ajax Computer Company, and Brad Smith, its Director of Operations, had been discussing how to increase the firm’s production of the company’s flagship XR58. The XR58 was particularly important because it sold 12,500 of them in the most recent year for $950, at a gross margin of 55%. After a lot of discussion, they decided to pursue an incentive system designed to increase production by 12% in the next year. After Brad discussed this possible incentive with the production team, the team determined that it could increase production by this amount without adding any more people or equipment. They believed they could accomplish this improvement primarily through process redesign. To incent them to do the hard work of process improvement, Brad told the team that it would receive 25% of the increased profits if it met the new production goal. For this team of 20 people, this would mean an additional compensation of _________ for each team member, on average, for…arrow_forwardAn 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_forward
- A 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_forwardA 3 year-old a computer-controlled fabric cutting machine, which had a $25,000 purchasing price, has a current market (trade-in) value of $10,000 and expected O&M costs of $4,000, increasing by 1,000 per year. The machine is required to have an immediate repair that costs $2,000. The estimated market values are expected to decline by 20% annually (going forward). The machine can be used for another 7 years at most. The new machine has a $40,000 purchasing price. The new machine's O&M cost is estimated to be $4,000 for the first year, decreasing at an annual rate of $100 thereafter. The firm's MARR is 10%. Assume a unique minimum AEC(10%) for both machines (both the current and replacement machine). Using the information above, determine the economic service life along with the optimum annual equivalent cost of the defender (This is an infinite Horizon decision problem). a) n=4 and AEC=Between $8,400 and $8,800 b) n=4 and AEC=Between $8,000 and $8,400 c) n=5 and AEC=Between $8,400 and…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
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- A 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_forwardA firm produces 2 different alarm systems A and B. System A detects withprobability 0.93 and costs 2 times expensive then system B. System B detectsfire with probability 0.8. Which option is better: to set two systems B or onesystem A?arrow_forward2. A product design engineer must decide if a redundant component is cost-justified in a certain system. The system in question has a critical component with a probability of 0.98 of operating. System failure would involve a cost of $20000. For a cost of $100 a switch could be added that would automatically transfer the system to the backup in the event of failure. Should the backup be added if the backup probability is also 0.98?arrow_forward
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