Corinth's labor supply grew by 1.4% and land stock grew by 1% from 425 BCE to 424 BCE. Landowners received 50% of income. If total factor productivity grew by 0.3% find the growth rate of aggregate output.

Respuesta :

Answer:

1.51%

Explanation:

Recall that:

Total Output  = [tex]A\times K^a \times ^{1-a}[/tex]

here;

A = total productivity factor

K = capital input

L = labor input

SInce  Landowners gets 50% of income; then a = 0.50

[tex]= A\times K^ {0.50} \times ^{1-0.50}[/tex]

Output at 424BBC

[tex]= 1.003A \times (1.014K)^{0.5}(1.01L)^{0.5}[/tex]

[tex]= 1.003 \times (1.007)(1.005)AK^{0.5}L^{0.5}[/tex]

[tex]=1.0151AK^{0.5}L^{0.5}[/tex]

Thus, the growth rate from 425 BCE to 424 BCE :

= 1.0151 - 1

= 0.0151

= 1.51%