00:01
So here we have a firm with a production function 2l plus k, and the goal is to produce q equals to 100.
00:08
Now, the idea here is that first -order conditions won't work.
00:12
Normally, you would take a derivative and set it equal to 0, but here that's going to be a problem, right? so let's take the derivative and see.
00:22
The derivative of q with respect to l is 2, and the derivative of k, sorry, of q with respect to k is equal to 1, right? so obviously you can't set them equal to 0.
00:35
So what do you do? well, you think about the wage and the interest rate, right? so here, let's think about what this means.
00:45
If you pay 2, you get 2, and here if you pay 1, you get 1.
00:53
You can see that these are identical, right? they're equally cost -effective.
01:00
So it makes no difference which one you choose.
01:07
Any combination of capital and labor that generates 100 units is going to be equally efficient...