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Math Help - Solve the problem

  1. #1
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    Solve the problem

    If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x^2-60x+13500, find the number of units manufactured at a cost of $17500.

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  2. #2
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    Basically it's asking how many units you manufactured if it costed you $17500, i.e. C(x) = 17500:
    17500 = x^{2} - 60x + 13500
    0 = x^{2} - 60x - 4000

    Solve the quadratic and take the solution that makes most sense.
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  3. #3
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    Quote Originally Posted by mt_lapin View Post
    If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x^2-60x+13500, find the number of units manufactured at a cost of $17500.

    Solve 17500 = x^2 - 60x + 13500 \Rightarrow 0 = x^2 - 60x - 4000 and round to the whole number you think best answers the question ......
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  4. #4
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    Man, I hope the answer is 100!
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  5. #5
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    Well, plug it back in to see if it works out:
    C(100) = (100)^{2} - 60(100) + 13500 = 10000 - 6000 + 13500 = 17500

    Is that what you wanted? Yes.
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