A production function at time π‘ is given by
\(Y_t=A_tK^a_tL^{1-a}_t\) , πΌ β (0, 1), πΌ β 0.5,
where π is output, πΎ is capital, πΏ is labour and π΄ is the level of Total Factor Productivity. Define per capita output as \(π¦_π‘ β‘ \frac{π_π‘}{ πΏ_π‘} \)and capital-output ratio as \(π_π‘ β‘\frac{ πΎ_π‘}{ π_π‘}\) . For any variable π₯π‘ , denote \(\frac{ππ₯_π‘}{ ππ‘}\) by π₯Μ . The per capita output growth rate is