college algebra

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P=t^2-35t+300 the profit made when t units are sold t>0, is given by
P=t^2-35t+300. Determine the number units to be sold in order for P<0 (a loss is taken).
How do I solve this? Thanks for your help.

  • college algebra -

    well, when is t^2 -35 t + 300 = 0
    plain old quadratic

    t = [ 35 + / - sqrt (1225 - 1200) ]/2

    = [ 35 +/- 5 ]/2
    = 15 or 20
    your profit is negative between 15 units and 20 units
    I suspect a typo in your problem. It does not make sense to have a profit of 300 for zero units sold.

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