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Math Help - Maximum, minimisation problem. Don't know where to start.

  1. #1
    Junior Member
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    Angry Maximum, minimisation problem. Don't know where to start.

    Hi all,

    I have the following problem:

    A researcher has funds to buy enough computing power to number-crunch a problem in 8 years. Computing power per dollar doubles every 23 months.

    When should he buy his computers to have finished the problem as soon as possible? Give your answer as a decimal in months, accurate within 0.1 months.

    Suppose the problem would take C months on current computers. What is the largest value of C for which he should buy the computers immediately? Give an answer as a decimal accurate to 0.1 months.

    I have no idea of where to start with this one?

    Could anybody help me?

    Thanks


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  2. #2
    Super Member
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    Re: Maximum, minimisation problem. Don't know where to start.

    Let x be the amount of time he waits before buying. How much time until the problem is solved? It's x + something less than 96 months (8 years), right?

    - Hollywood
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