00:01
Okay, this question wants us to maximize f equals 2x plus 7y based off the following constraints.
00:21
So x plus y is less than or equal to 7.
00:27
2x plus y is less than or equal to 12.
00:32
X plus 3y is less than or equal to 15.
00:38
X is greater than or equal to zero and y is greater than or equal to zero okay so the x is greater than or equal to zero and y is greater than or equal to zero that's why we only are using the first quadrant because we know they have to be greater than or equal to zero so now i'm going to solve each equation so if i solve the top one this is going to be y is less than or equal to negative x plus 7.
01:13
So now to graph that, my y intercept is going to be 7 and my slope is negative 1.
01:25
Okay, so there is my first line.
01:41
Now my second line to graph that is going to be y is less than or equal to negative 2x plus 12.
01:50
So my y intercept is 12 and my slope is negative 2.
02:07
There's my second line.
02:17
My third one, if i solve that, it's going to be y is less than negative one -third x plus 5.
02:27
So my y -intercept is 5, and my slope is negative 1 -third...