Question

A jazz club's profit from booking local bands depends on the ticket price. Using past receipts, the owners find that the profit "p" can be modeled by the function p = -12t2 + 456t + 35, where t represents the ticket price in dollars. What is the maximum profit?

Answer 1

Recall that the vertex (in this case, maximum) of

y = ax^2+bx+c
is found at x = -b/2a
So plug in your t value (456/24=19) and find p(t)