8) The failure rates of transistors in a computer are summarized in the following table. End of week 1 3 4. 5 Probability of failure to date 0.09 0.17 0.27 0.50 0.65 0.90 1.00 The cost of replacing an individual failed transistor is $8. If all the transistors are replaced simultaneously, it would cost $4 per transistor. Any one of the following two options can be followed to replace the transistors: I (a) Replace the transistors individually when they fail (individual replacement policy). (b) Replace all the transistors simultaneously at fixed intervals and replace the individual transistors as they fail in service during the fixed interval (Group replacement policy). Find out which is the optimal replacement policy, i.e. the individual replacement policy or the group replacement policy. If the group replacement policy is optimal, then find at what equal intervals should all the transistors be replaced.

8) The failure rates of transistors in a computer are summarized in the following table. End of week 1 3 4. 5 Probability of failure to date 0.09 0.17 0.27 0.50 0.65 0.90 1.00 The cost of replacing an individual failed transistor is $8. If all the transistors are replaced simultaneously, it would cost $4 per transistor. Any one of the following two options can be followed to replace the transistors: I (a) Replace the transistors individually when they fail (individual replacement policy). (b) Replace all the transistors simultaneously at fixed intervals and replace the individual transistors as they fail in service during the fixed interval (Group replacement policy). Find out which is the optimal replacement policy, i.e. the individual replacement policy or the group replacement policy. If the group replacement policy is optimal, then find at what equal intervals should all the transistors be replaced.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Who answered the (a) part, Please complete answer for the (b) part

8)
The Failure rates of transistors in a computer are summarized in the
following table.
End of week
1
3
4
Probability of
failure to date
0.09
0.17
0.27
0.50
0.65 0.90
1.00
The cost of replacing an individual failed transistor is $8. If all the transistors
are replaced simultaneously, it would cost $4 per transistor. Any one of the
following two options can be followed to replace the transistors:
(a) Replace the transistors individually when they fail (individual
replacement policy).
(b) Replace all the transistors simultaneously at fixed intervals and replace
the individual transistors as they fail in service during the fixed interval
(Group replacement policy).
Find out which is the optimal replacement policy, i.e. the individual
replacement policy or the group replacement policy. If the group
replacement policy is optimal, then find at what equal intervals should all
the transistors be replaced.

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