An expensive piece of equipment is used in the masking operation for semi-conductormanufacture. A capacitor in the equipment fails randomly. The capacitor cost $7.50, but if itburns out while the machine is in use, the production process must be halted. Here thereplacement cost is estimated to be $150. Based on past experience, the lifetime distribution ofthe capacitor is estimated to beNumber of Months of Service123456Probability of Failure0.080.120.160.260.220.16How often should the capacitors be replaced in order to minimize the expected monthly cost of plannedand unplanned replacement?

To find: The optimal time to replacing the capacitor. Given: The replacement cost is C1=$150. The…

Answered: An expensive piece of equipment is used…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Example 13.4 A local manufacturer of copying equipment includes a repair warranty with each copier. Virtu- ally all of his equipment exhibit an increasing failure rate. Based on historical repair data, the failure rate for Model 25cc7 is accurately described by the function r(t) = 2.7786t'3, where t is measured in months of continuous operation. What is the probability that the time between two successive failures of this equipment exceeds two months of operation?
To what extent do the most common error messages differ, and what do they typically indicate?
A 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?
The tasks involved in the verification of an ER model should be mentioned and quickly explained.
A premium golf ball production line must produce all of its balls to 1.615 ounces in order to get the top rating (and therefore the top dollar). Samples are drawn hourly and checked. If the production line gets out of sync with the target weight on a statistical significance test it must be shut down and repaired. Assume that the weight of golf balls is normally distributed. This hour’s sample of 18 balls has a mean of 1.611 ounces and a standard deviation of 0.065 ounces. This hour's sample mean falls -0.2600 standard errors below the mean. What is the exact p-value of this t statistic? (Enter your answer to 4-decimal places, for example 0.1000.)
Yelp Dog Food produces specialized dog foods in 1-pound packages. The amount of dog food in each package should be 1 pound, and Yelp has determined that the standard deviation of the machine filling these packages is half an ounce, and the confidence interval is 14.85% (2= 1872). In order to confirm that the machine is operating properly, Yelp takes 16 sample bags every hour and weighs them. The means of these 16 bags for an 8-hr shift is given below. 1. 2. 3. 4 5. 6. 8 0.98 1.01 0.97 1.03 1.01 0.94 1.02 1.02 13. For this one day's worth of filling bags, what would be the upper control limit? A. 1.0000 B. 1.0209 C. 1.0324 D. 1.0913 14. What would be the lower control limit? A. .9038 B. 9567 C.9741 D..9892 15. How many, if any, of the hours were out of control? A.O B. 2 C.3 D. 7
The purpose of a Business Impact Analysis (BIA) is to determine: Choose the correct answer? The cost to repair a failed system The extent of a disaster's damage Critical business processes that must be maintained How often an incident will occur
A manufacturer of programmable calculators is attempting to determine a reasonable free-serviceperiod for a model it will introduce shortly. The manager of product testing has indicated that thecalculators have an expected life of 30 months. Assume product life can be described by an exponential distribution.a. If service contracts are offered for the expected life of the calculator, what percentage of thosesold would be expected to fail during the service period?
The most expensive stage of dying is in the Product/Garment Stage. Group of answer choices True False.
do fast
The following is an excerpt from a conversation between two sales clerks, Tracy Rawlin and Jeff Weimer. Both Tracy and Jeff are employed by Magnum Electronics, a locally owned and operated electronics retail store. Suggest appropriate control procedures that would have prevented or detected the theft of cash.
Problem 13-4 (Algo) There is a 3 percent error rate at a specific point in a production process. If an inspector is placed at this point, all the defects can be detected and eliminated. The inspector would cost $11 per hour and could inspect units in the process at the current production rate of 52 per hour. If no inspector is hired and defects are allowed to pass this point, there is a cost of $12 per defective unit to correct the defects later on. Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether the inspector is hired or not. a. If an inspector is hired, what will be the inspection cost per unit? (Round your answer to 3 decimal places.) Cost per unit b. If an inspector is not hired, what will be the defective cost per unit? (Round your answer to 3 decimal places.) Cost per unit

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