An expensive piece of equipment is used in the masking operation for semi-conductor manufacture. A capacitor in the equipment fails randomly. The capacitor cost $7.50, but if it burns out while the machine is in use, the production process must be halted. Here the replacement cost is estimated to be $150. Based on past experience, the lifetime distribution of the capacitor is estimated to be Number of Months of Service 1 2 3 4 5 6 Probability of Failure 0.08 0.12 0.16 0.26 0.22 0.16 How often should the capacitors be replaced in order to minimize the expected monthly cost of planned and unplanned replacement?
An expensive piece of equipment is used in the masking operation for semi-conductor manufacture. A capacitor in the equipment fails randomly. The capacitor cost $7.50, but if it burns out while the machine is in use, the production process must be halted. Here the replacement cost is estimated to be $150. Based on past experience, the lifetime distribution of the capacitor is estimated to be Number of Months of Service 1 2 3 4 5 6 Probability of Failure 0.08 0.12 0.16 0.26 0.22 0.16 How often should the capacitors be replaced in order to minimize the expected monthly cost of planned and unplanned replacement?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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