Problema Solution

The number of tickets sold each day for an upcoming performance of Handel Messiah is given by N(x)= -0.3x^2+6x+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?

Ticket sales will peak ___ days after the concert was first announced.

The number of tickets sold on that day will be ___

(round to the nearest interger)

Answer provided by our tutors

N(x)= -0.3x^2+6x+11 = -0.3(x-10)^2 +41

When x = 10, N is max = 41

So

Ticket sales will peak 10 days after the concert was first announced.

The number of tickets sold on that day will be 41