SOLUTION: Can someone help me with this problem. The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by n(x) = -0.5x^2+13x+11, where x is the numb

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can someone help me with this problem. The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by n(x) = -0.5x^2+13x+11, where x is the numb      Log On


   



Question 609976: Can someone help me with this problem.
The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by n(x) = -0.5x^2+13x+11, where x is the number of days since the concert was first announced. When will daily tickets sales peak and how many tickets will be sold that day.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
n(x) = -0.5x^2+13x+11
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Max occurs when x = -b/(2a) = -13/(2*-0.5) = 13/1 = 13
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Maximum number of tickets = n(13) = -(1/2)13^2+13*13 + 11
= (-1/2)*169 + 169 + 11
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= 96 when rounded up to the nearest whole number
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Maximum sales occurs on day 13.
# of tickets sold that day is 96 if rounded up
# of tickets sold that day is 95 if rounded down
Cheers,
Stan H.
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