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Math Help - Work Efficiency

  1. #1
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    Work Efficiency

    I have a work efficiency problem with the function Q(t)=-t^3+6t^2+15t

    It wants me to find the time when the workers are most efficient and least efficient between 8:00 a.m. and 12:00 noon.

    I got x=-1 and x=5 from first derivative now do I have to plug these numbers in to derivatives 1 through 4 to find efficiency.
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  2. #2
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    Quote Originally Posted by lisa1984wilson View Post
    I have a work efficiency problem with the function Q(t)=-t^3+6t^2+15t

    It wants me to find the time when the workers are most efficient and least efficient between 8:00 a.m. and 12:00 noon.

    I got x=-1 and x=5 from first derivative now do I have to plug these numbers in to derivatives 1 through 4 to find efficiency.
    what does Q(t) represent?
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    transistor radios t hours later.
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    efficiency is measured by the rate that the radios are produced.

    you want to find where Q'(t) is a maximum (most efficient) and a minimum (least efficient).

    the domain for t should be 0 to 4, 0 corresponding to 8:00 and 4 corresponding to 12:00
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    I'm still not sure how to calculate this...I got the critical points x=-1 and x=5 what do I have to do next to figure this out..thanks!
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  6. #6
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    Quote Originally Posted by lisa1984wilson View Post
    I'm still not sure how to calculate this...I got the critical points x=-1 and x=5 what do I have to do next to figure this out..thanks!
    once again ... you want to find the extrema for Q'(t), not Q(t).
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