The navy uses a certain type of vacuum tube in a sonar, Engineering Mathematics

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The navy uses a certain type of vacuum tube in a sonar

Question: The Navy uses a certain type of vacuum tube in a sonar scanning device. Based on past experience, the vacuum tube exhibits the following failure pattern:

Failures during operation cost $200 each, but the tube can be replaced before failure for $50. Find the optimal replacement strategy.

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Engineering Mathematics: The navy uses a certain type of vacuum tube in a sonar

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Engineering Mathematics: The navy uses a certain type of vacuum tube in a sonar

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