Question
Macroeconomics Question on Production Function
Let the production function be given by
Yt=AtKtαHtβLt1−α−β
where, at time t, Yt is output, At is level of Total Factor Productivity, Kt is physical capital, H is human capital, and L is labour. α = 1/5 and β = 2/5 If the growth rate of Yt equals 10 percent, the growth rate of Kt equals 5 percent, the growth rate of Ht equals 5 percent, and the growth rate of Lt equals 10 percent, then the growth rate of At is
A
2 percent
B
3 percent
C
5 percent
D
10 percent
Answer
3 percent
Explanation
Solution
The correct answer is (B): 3 percent