00:01
So here we have a cobb douglas production function.
00:02
We're told that the capital share is alpha equal to 0 .3.
00:05
The labor share is therefore 4 .7 to guarantee increasing returns to scale.
00:10
So let's think about this seriously.
00:12
Initially, the country is 10 % unemployment.
00:16
10 % unemployment.
00:17
So let's say that we start off with the actual number of workers as 0 .9n.
00:24
Right? so n people could be working, right? the labor force is sort of n people, and 90 % of them are employed and 10 % of them are unemployed, right? so we have 0 .9n.
00:39
So in this case, output would equal to a k to the 0 .3, 0 .9n to the 0 .7, which is equal to a k to the 0 .7, n to the 0 .7, 0 .9 to the 0 .7.
00:59
Now we're considering unemployment at 5%.
01:02
At 5 % unemployment, right, we have l is equal to 0 .95n, because now 95 % of the people are working.
01:14
So we have y equals ak to the 0 .3, 0 .95, oh, n to the 0 .7, is equal ak to the 0 .3 .3, 0 .95, oh, n to the 0 .7 is equal a k to the 0 .3 .3...