00:01
Looks like you've got the correct revenue function here, 50 minus x times 1 ,700 plus 50x.
00:08
And all you want to do now is maximize revenue.
00:13
Maximize it.
00:22
Okay.
00:23
So this is going to look like a parabola.
00:26
We can do this two ways.
00:27
We can simply graph this and use some kind of trace function on our calculator to find where the vertex should be.
00:35
Or we can foil this out to find this is going to be 50 squared, 50 squared x minus 1 ,700x squared, minus 50x squared squared plus 1 ,700 times 50.
01:00
And to find exactly where the maximum should be here, let's write this in standard form, this is minus 50x squared, the x term here, plus is going to be 50 squared.
01:11
Minus 1700 plus 1700 times 50.
01:19
Define the maximum, because we know this is a quadratic equation with a negative leading coefficient, so its graph is going to be a parabola that faces down.
01:28
The maximum is going to be the vertex of this parabola...