### Home > CALC3RD > Chapter Ch5 > Lesson 5.3.1 > Problem 5-115

Ms. Platinum has a hit on her hands. A survey she commissioned shows that she can sell

Before we even start, notice that there is boundaries to the domain of this story. There are only

So, we have not answered the question. Sometimes, when a function has a restricted domain, the maximums is NOT where the derivative equals 0, but at an endpoint (where the derivative does not exist). Go back and determine how much Ms. Platinum will need to charge to sell

Let number of times she decreases the price. Write a Revenue function,

Maximize the revenue.

What does this mean?

She should charge

But this is impossible because the theater only has