00:01
So we're going to be sketching the feasible region given by the constraints here.
00:04
So the first one we have is 2x plus 7y is less than or equal to 56.
00:10
I'm going to start by converting this.
00:12
So i'm going to subtract the 2x to the other side, getting minus 2x plus 56.
00:16
And now i would divide everything through by 7.
00:19
So i have y is less than or equal to negative 2 over 7x and then plus 8.
00:24
So this is one of the inequalities that i'm going to graph.
00:27
The second one i have is the 6x plus y is less than or equal to 48.
00:36
So very similar to that, we're going to subtract the 6x to the other side.
00:40
So i have y is less than or equal to negative 6x plus 48.
00:46
So now it wants us to sketch this thing here.
00:49
So the other two parts of this is x is greater than or equal to zero and y is greater than or equal to zero.
00:54
So in this case here, it looks like for the second one might be, easier for us to do things in terms of x and y intercept.
01:02
So let's start with the first.
01:04
We start off with eight and then we're going to go down to over seven.
01:08
So we're going to go down one, two, to the right, one, two, three, four, five, six, seven.
01:13
And you're going to connect those dots in that way...