00:01
Now see, for a constraint, right, so we have over here what? we have a constraint.
00:06
So remember that for a constraint to be a constraint of a linear programming problem, it must be what? it must be linear, right? so now see out of the given options, let's see one by one which constraint is linear and which is not.
00:22
So now we have the first constraint over here that is x plus xy plus y should be greater than equals to 12.
00:32
Now remember for a constraint to be linear, two things have to be kept in mind.
00:36
First, the power of each variable should be only one, right? so that means something like x square or x cube is not acceptable.
00:45
It should be either x or it should be y or any other variable that we are taking.
00:50
And the second thing is that there should not be the product of two variables, right? so that means something like xy or you could have something like zx.
01:00
This is also not acceptable.
01:02
So if i look at the first constraint, i can see that i have a product xy.
01:05
So the first constraint is not a linear constraint, right? so we cancel this out.
01:10
Now let's come to the second constraint.
01:12
We have over here x minus 2y is less than equals to 20...