SOLUTION: the profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function P(X)=-15x squared + 600x + 60

Question 1091312: the profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function P(X)=-15x squared + 600x + 60 where x is the price of each ticket. What ticket price would give the maximum profit? find the maximum profit

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
P(X)=-15x^2+ 600x+ 60
The vertex has the x value = -b/2a=-600/-30 or 20
so x=$20, which is the maximum
the profit would be $6060.

at $21, the profit is $6045
at $19, the profit is $6045

RELATED QUESTIONS
The profit from a school dance depends on the ticket price. Using some calculations,... (answered by stanbon)

I have tried to do this problem several times now and not really sure about what I am... (answered by ankor@dixie-net.com)

A local university football team has added a national power to next year's schedule.The... (answered by jorel555)

(1) Using p=nt-e, find the numberof tickets sold (n) if the profit (p) is $350, the price (answered by jorel1380)

The amount of money that a local charity earns by selling T-shirts at a mall depends on... (answered by Boreal)

The school that Micaela goes to is selling tickets to a choral performance. On the first (answered by TimothyLamb)

the profit on a certain refrigerator is 35% of the cost price. if the profit is $280,... (answered by rfer)

If selling price is doubled, the profit triples. Find the profit... (answered by MathLover1)

1)The senior classes at High School A and High School B planned separate trips to the... (answered by ikleyn)