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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Please show how to calculate R(t) and finding the a and beta in this formula

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?
Transcribed Image Text: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?
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