Question: 6.10 A component is replaced every T time units and upon its failure, whichever comes first. The lifetimes of successive components are independent and identically

6.10 A component is replaced every T time units and upon its failure, whichever comes first. The lifetimes of successive components are independent and identically distributed random variables with PDF fXðxÞ. A cost c1 . 0 is incurred for each planned replacement, and a fixed cost c2 . c1 is incurred for each failure replacement. What is the long-run average cost per unit time?

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