Need help with some pre-calc homework, if anyone's feelin' up to it. o.o

1. A theater company has found that it can sell 100 tickets for a play at a price of $15 per ticket,
and they can sell 160 tickets at a price of $12 per ticket.
(a) Find the demand function p(x) for the price at which they company can sell x tickets.
Assume that p(x) is linear.
(b) How many tickets should they company sell to maximize revenue?
(c) At what price should they sell the tickets in order to maximize revenue?

Question

Need help with some pre-calc homework, if anyone's feelin' up to it. o.o

1. A theater company has found that it can sell 100 tickets for a play at a price of $15 per ticket,
and they can sell 160 tickets at a price of $12 per ticket.
(a) Find the demand function p(x) for the price at which they company can sell x tickets.
Assume that p(x) is linear.
(b) How many tickets should they company sell to maximize revenue?
(c) At what price should they sell the tickets in order to maximize revenue?

anonymous · Answer

Hey.

anonymous · Answer

I'm trying to work on it. So far I got... -1/20. I think that's the slope...

anonymous · Answer

I did y2-y1 / x2 - x1 or whatever.

anonymous · Answer

Not really sure what to do now.

anonymous · Answer

I got p(x) = -1/20x + 20. Am I doing the right thing so far? o.o

mertsj · Answer

yep

anonymous · Answer

Oh hey sorry I had to walk away from this for a while lol.
I think I solved it. x=200 by finding the derivative of some stuff and then I found the cost would be $10.00.

anonymous · Answer

Oh hey.

anonymous · Answer

Do you know if my answers are right? o.o I was just about to give up and close the question so I could open a new one.