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A small producer uses an industrial boiler in its production procedure. A new boiler can be bought for $10,000 As the boiler gets older, its maintenance costs increase while its resale value declines. Since the boiler will be exposed to heavy use, the probability of a breakdown increases every year.Assume that when a boiler breaks down, it can be used through the end of the year, after which it must be replaced with a new one. Also, assume that a broken-down boiler has no resale value.Some basic data are given in the following table:________________Year of Operation Expenses Resale Value Breakdown Probability1 1,500 7,000 0.12 2,000 5,000 0.23 3,000 4,000 0.44 4,500 2,000 0.55 6,000 500 0.8_____________a. At what year of operation should the boiler replaced?b. What is the expected cost per year for the boiler under the optimal replacement strategy?
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