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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40. Habard's, a chain of hardware stores, sells a variety of tools and home repair items. One of their best wrenches sells for $5.50. Habard's will include a three-year free replacement warranty for an additional $1.50. The wrench is expected to be sub- ject to heavy use and, based on past experience, will fail randomly at a rate of one every eight years. Is it worth purchasing the warranty?
For each scenario suggest a control that could be used to reduce the risk. Entering negative values for order quantity in a sales order Selling to a customer with an overdue account Ordering from a non-existent supplier Paying for goods that have not been received Entering an alphanumeric customer ID when the business policy is for numeric customer IDs Misappropriation of goods by receiving staff, who also maintain inventory records Ordering too much of a product 8. You are required to list and explain three advantages of computer-executed control activities compared to manually executed control activities.
1. Three hundred identical cathode ray tubes (CRTS) placed into service simultaneously on January 1, 1976, experienced the following numbers of failures through December 31, 1988: 1983 Year Number of failures 1984 1985 1986 1987 1988 13 19 16 34 21 38 Assume that there were no failures before 1983. a. Based on these data, estimate the cumulative distribution function (CDF) of a CRT chosen at random. Using the results of part (a), estimate the probability that a CRT chosen at random 13.1 Reliability of a Single Component 753 b. Lasts more than 5 years. c. Lasts more than 10 years. d. Lasts more than 12 years. e. That has survived for 10 years fails in the 11th year of operation.
Please do not give solution in image format thanku Genjeteye, Inc. makes aircraft engines. The mean time to failure has been found to be 100,000 hours and is exponentially distributed. a) What is the failure rate, A, per hour? b) What is the cumulative probability of failure after 10,000 hours or fewer? Between 10,000 and 15,000 hours? c) If Genjeteye wishes to provide a warranty that no more than 5 percent of the units will fail, how many hours of operation without failure should the company guarantee?
a bread manufacturer relies on maintenance employees to keep its rather quite old production equipment for their operation. Whenever the equipment breaks down, the maintenance team is able to repair the equipment quickly. However, they are less effective at avoiding these breakdowns and cannot predict when the equipment will break down. The maintenance group has modified the equipment over the years and, in any event, the manufacturer of the equipment is no longer in business. The maintenance employees teach each other how to repair the equipment, but have refused to document any of this information (saying that it is too difficult to document these details). The company owner has thought about firing the maintenance staff unless they document the maintenance procedures, but realizes that there is no one else who can repair the equipment. Discuss or explain the sources or types of power and contingencies (moderator) of power among the maintenance employees in this situation.
The warehouse management system (WMS) of RoyaTech's Delaware Valley warehouse tracks service level at the warehouse. A service level failure at the warehouse is an event where a customer's order could not be shipped out in full by the promised shipping time. RoyalTech's ordering system prevents customers from placing orders on products that are not in-stock at the warehouse. Therefore, we can make the statement that "the WMS is guaranteed to show 100% service level at the warehouse." Choose the most appropriate statement in response: O True, because orders will be placed only for products that are available. O False, because service level can never be 100%. O False, because resource constraint or human error may delay the shipping even though inventory is available in the system. O False, because WMS calculations are faulty.
A producer of pocket calculators estimates that the calculators fail at a rate of one every five years. The calculators are sold for $25 each with a one-year free replacement warranty but can be purchased from an unregistered mail-order source for $18.50 without the warranty. What length of period of the warranty equates the replacement costs of the calculator with and without the warranty?
11. Select a fusible disconnect and the fuses for the application below. CNC Grinding Station Machine Operating Voltage - 600 VAC, 3-phase Spindle Motor FLA = 25 Amps Table Motor FLA = 10 Amps Fusible Disconnect Voltage Rating Fusible Disconnect Current Rating Number of Poles Fuse Voltage Rating Fuse Current Rating (VAC) (Amps) (VAC) (Amps)
Herman’s Hardware uses a neon light in its store window that is left burning continuously. The light has an average lifetime of 1,250 hours and fails completely atrandom. Lights that burn out are replaced instantly.a. On average, how many neon lights does Herman’s use in one year?
7. A piece of equipment has a lifetime T (measured in years) that is a continuous ran- dom variable with cumulative distribution function F(t) = 1 – e/10 – (1/10) e¯/10 for all t> 0. a. What is the probability density function of T? b. What is the probability that a piece of equipment survives more than 20 years? c. What is the probability that a piece of equipment survives more than 10 years but fewer than 20 years? d. What is the probability that a piece of equipment survives more than 20 years given that it has survived for 10 years? 8. For the equipment mentioned in Problem 7, a. Derive the failure rate function r(1), and draw a graph of the function. b. Without using the failure rate function, determine the probability that a piece of equipment that has survived 20 years of operation fails in the 21st year. c. Does r(20) accurately estimate your answer to part (b)? Why or why not?
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?
Describe the term predictive maintenance and the importance of goods records ?

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