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how can i solve this problem? The number of tickets sold each day for a upcoming peformance of Handel's Messiah is given by N(x)=0.4x^2+8x+11, where x us the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day.

  • Math -

    Your School Subject is Math, not "college."

  • Math -

    since you labeled it "college" I will assume you know Calculus.

    N(x)=0.4x^2+8x+11
    N'(x) = .8x + 8
    = 0 for a max/min of N
    .8x + 8 = 0

    x will be a negative, so your problem makes no sense.

    your function is an upwards parabola so it has a minimum, not a maximum.
    perhaps you have a typo and the first term is -.8x^2

    then the above result becomes
    -.8x + 8 = 0
    x = 10

    and N(10) = -.8(100) + 80 + 11
    = 11

    11 tickets sold ????
    There are more people singing Hallelujah.

  • Math -

    Apart from the subject, that equation isn't going to peak for x > 0. I think you may have an error in the question.

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