Question 154331: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.5x^2+14x+10, where x is 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?
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! wow..the "Hallelujah" chorus...one of my favorites
the peak (maximum) is on the axis of symmerty
__ the general equation is x=-b/2a
__ in this case, x=-14/[2(-0.5)] __ x=-14/(-1) __ x=14
__ so, sales peak on the 14th day
to find the number of tickets, substitute into the equation
__ N=-.05(14)^2+14(14)+10 __ N=108
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