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 - Ms. Sue, Sunday, September 20, 2009 at 7:13pm
Your School Subject is Math, not "college."
Math - Reiny, Sunday, September 20, 2009 at 7:49pm
since you labeled it "college" I will assume you know Calculus.
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 tickets sold ????
There are more people singing Hallelujah.
Math - jim, Sunday, September 20, 2009 at 7:49pm
Apart from the subject, that equation isn't going to peak for x > 0. I think you may have an error in the question.