Problema Solution
The principal at a school is planning a concert to raise mi why for they music programs. He determines the profit P from
Ticket sales depends on the price t of a ticket according to the equation p=-200t square +3600t-6400 . All amounts are in dollars if the goal is to raise $8500 what is the smallest amount of the school should charge for a ticket to the concert
Answer provided by our tutors
the profit is described with the equation:
p(t) = - 200t^2 + 3600t - 6400, where t is the price of the ticket
the goal is to raise $8500 that is:
- 200t^2 + 3600t - 6400 = 8500
by solving we find:
t1 = $6.45
t2 = $11.55
click here to see the step by step solution of the equation:
since we are looking for the smallest amount the solution is: the school should charge $6.45 for a ticket.