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Assume that the speed of new computers costing a certain amount of money grows exponentially over time, with the speed doubling every 18 months. Suppose you need to run a very time consuming program and are allowed to buy a new computer costing a fixed amount on which to run the program. If you start now, the program will take 8 years to finish. How long should you delay buying the computer and starting the program so that it will finish in the shortest amount of time from now

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