Please help i need to find an equation for word problem

[katiemarie]

Homework Statement

An airline finds that if it prices a ticket at $200, it will sell 300 more tickets per day. It estimates that each $10 price reduction will result in 30 more tickets sold per day. Find the ticket price and number of tickets sold that will maximize the airline's revenue. Use calculus to solve.

Homework Equations

This is what I need help with; I know how to find the maximum and minimum of an equation, but I can't figure out how to make an equation for this problem. It needs to be in y= form for me to solve but I'm struggling to figure it out.

The Attempt at a Solution

I came up with $200-10x=300+30x
but I can't work with that since it's not in y= and I don't think I set the variables up right anyways. Please help! I can't find the max revenue until I find the actual equation! Thanks

 

[BlindSpot]

The first step is to reread the question part of the problem statement: "Find the ticket price and number of tickets sold that will maximize the airline's REVENUE." This part gives you a strong indication as to what your dependant (y) variable should be.

 

[katiemarie]

Okay, I'm just now figuring out this site, but I figured it out so thanks!