00:01
So the most important thing here is actually just draw the constraints.
00:05
So equation one is going to be anything greater than x equals zero.
00:11
So this line here and this region.
00:17
Okay, equation two is anything where y is greater than zero.
00:23
Okay, so this region here.
00:26
Now, so we can actually get rid of this bottom region here.
00:30
We just shaded him to the red.
00:36
Okay, so we just did that in red, that in green.
00:43
The next equation we'll do in purple, 2x plus 10y is less than or equal to 100.
00:49
So i think the best way to write this would be using the y equals mx plus c definition.
00:56
So you get 10y is less than or equal to 100 minus 2x, which is y is less than or equal to 10 minus y over 5x.
01:06
So we get a line that looked as follows okay so we get this sort of flat line here going across and it's anything where y is going to be less than or equal to that region so looking at this region here it was going to satisfy the other ones as well i will do the last one in red because i've run out of colors here so 9x plus plus y y is less than or equal to 54, so y is less than or equal to 54 minus 9x.
02:00
So we've got a really, really steep gradient going down, cuts off at 54, so all the way up here...