# college

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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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