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The number of tickets sold each day for an upcoming performance of Handel's
Messiah is given by N(x)=-0.4x^2+8.8x+11, 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?
N(x)=-0.4x^2 + 8.8x + 11
Find the axis of symmetry: x = -b/(2a), in this equation a=-.4; b=8.8
x = +11 days since announced
Find the no. of tickets, substitute 11 for x
N(x) = -0.4(11^2) + 8.8(11) + 11
N(x)=-0.4(121) + 96.8 + 11
N(x)= -48.4 + 96.8 + 11
N(x) = 59.4 ~ 59 tickets sold on the 11th day