00:01
Hi, in this question we need to maximize the function z is equals to x plus 5.
00:06
And for that we are given with some restrictions as 2x plus 3y should be less than 36 and x plus 2y that should be less than 18 and we are given with x should be greater than 0 and y should be greater than 0.
00:27
So first we find the interset by letting x as 0 and y as 0.
00:31
For the first equation, 2x plus 3y, let it be equal to 3x.
00:36
And for x is equal to 0, that will imply y would be equals to 36 by 3 or we get this to be equal to 12.
00:44
If y is 0, then we get x to be equals to 36 by 2 and canceling, we get it to be equal to 18.
00:52
So from here we get the coordinate as 0 and 12 and from here we get the coordinate as 18 and 0.
00:59
Now moving on to the next for x plus 2y is equals to 18, we can check if x is equal to 0, we get y to be equals to 9.
01:12
That means we would have the coordinate as 0 and 9.
01:15
And if y would be equal to 0, we get x to be equals to 18.
01:21
So our coordinate would become 18 and 0...