An electronic equipment contains 1000 resistors. When any resistor fails, it is replaced. The cost of replacing

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An electronic equipment contains 1000 resistors. When any resistor fails, it is replaced. The cost of replacing a resistor individually is ! 10.00. If all the resistors are replaced at the same time, the cost per resistor is ! 3.00. The percent surviving, S(i) at the end of month i is given below:

i 0 1 2 3 4 5 6 S(i) 100 90 80 60 45 20 0 What is the optimum replacement plan?.

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