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Question

Macroeconomics Question on Production Function

Let the production function be given by
Yt=AtKtαHtβ𝐿t1αβY_t = A_t K_t ^{\alpha} H_t ^{\beta} 𝐿_t^{1−\alpha−\beta}
where, at time t, YtY_t is output, AtA_t is level of Total Factor Productivity, KtK_t is physical capital, H is human capital, and L is labour. α\alpha = 1/5 and β\beta = 2/5 If the growth rate of YtY_t equals 10 percent, the growth rate of KtK_t equals 5 percent, the growth rate of HtH_t equals 5 percent, and the growth rate of LtL_t equals 10 percent, then the growth rate of AtA_t 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