00:01
Alright, so using the graphical method, we want to first kind of graph our lines.
00:05
So using the first equation, 5x1 plus 2x2 greater than or equal to 20.
00:11
So if x2 is 0, then we're going to have x1 be 4.
00:17
If x1 is 0, then x2 is going to be 10.
00:21
So we'll mark a line between those two.
00:27
For the second equation, if we have x2 to be 0, then x1 is going to be 6.
00:32
And then if x1 is 0 then x2 is going to be 8.
00:38
So make a line between those two and then we have that x2 is greater than 2.
00:50
So now since we're looking at everything above those then our area of interest becomes everything out here and these become our critical points that we want to test.
01:05
So let's look for each one of those points.
01:08
So this first one is going to be just 0, 10.
01:11
Right here in the middle we need to solve for.
01:15
So we can have choose the first equation to solve for x1.
01:20
So x1 is going to be equal to 20 minus 2x2 over 5.
01:27
Let's plug that into the second equation.
01:29
So that's 4 times 20 minus 2x2 over 5 and then plus 3x2 equal to 24.
01:41
So so let's multiply everything by 5...