00:01
We're going to be looking at the objective function z equals x plus 5y with the following five constraints.
00:09
We're looking for a maximum or minimum value of z within the constraints given.
00:13
So i just typed in the constraints into the desmos graphing calculator.
00:16
It's a great user -friendly free graphing calculator.
00:21
When you're typing them in, if you need a less -than -or -equal -to or greater -than -or -equal -2, you just type in the less -than -or -grater -than -in -quality from your keyboard, and then hit the equal sign.
00:31
On your keyboard.
00:34
Okay, so our first constraint is that x is greater than equal to zero.
00:38
So it's on the right side.
00:39
Our next constraint is that y is also greater than equal to zero.
00:43
So it's in our first quadrant.
00:46
Our next constraint gives us this little triangle down here that we can work with.
00:51
This snips off a little piece of that and cuts off another piece of it.
00:56
So the next thing that we're looking for is the vertices of of our quadrilateral where all of them are intersecting.
01:05
These are what we're going to plug into our function to find the maximum minimum for z into our objective function.
01:14
So i'm just going to copy these vertices so we can work with them.
01:19
10 .50 and 0 is our last vertex...