00:01
Let's maximize p equals 2x minus 3y.
00:03
And we have the equation 3x plus 8y is less than or equal to 35.
00:08
And for this equation, i'm going to go ahead and divide it by 2.
00:11
That'll be 3x plus 2y less than or equal to 20, just to make our numbers better.
00:17
So the first thing i'm going to do is i'm going to go graph both of these.
00:21
So i'm going to look at the first one.
00:22
I'm trying to get my pen here.
00:25
We're going to get our intercept, so i'm going to put 0 for x, which means i'm going to have 35 over 8 for y.
00:33
And then here, for i put 0 in place of x, we're going to have 35 thirds for x.
00:40
So i'm going to go 0, 35 eighths, and then here i'm going to go 35 thirds and 0.
00:51
So now i'm going to go to the second equation.
00:54
I'm going to put 0 in place of x and get 20 over 2.
00:58
Well, that's 10, so i don't need to do that.
01:00
I can just go get 10 here.
01:02
Whoops, there we go.
01:05
And now i'll put 0 in place of y and i'll get 20 thirds.
01:09
Well, 35 eighths is going to be smaller than 10, so that means we're going to put 10 is going to be up here, and then we're going to have 20 thirds.
01:20
That's almost 7.
01:22
This is going to be right here.
01:24
So that's going to be 20 thirds and 0...