Determine the best age at which to replace the machine, Operation Research

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Question:

Machine A costs Rs. 9000. Annual operating costs are Rs. 200 for the first year, and then increase by Rs. 2000 every year. Suppose that the machine has no resale value when replaced and that future costs are not discounted.

(a) Determine the best age at which to replace the machine.

(b) If the optimum replacement policy is followed, what will be the average yearly cost of owning and operating the machine?

Machine B costs Rs. 10000. Annual operating costs are Rs.400 for the first year and then increase by Rs. 800 every year. You have now a machine of type A which is one year old. Should you replace it with B, and if so, when?


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