DSE 2006 Question 26: Harrod–Domar and Solow growth models

The aggregate production function in an economy at any time period $t$ is $Y_t=\min\{K_t/2,\,L_t/4\}$, where $K_t$ and $L_t$ are respectively the aggregate stock of capital and the available stock of labour at time $t$. In each period, $20\%$ of the total output is saved and invested, which augments the next period's capital stock. Capital does not depreciate. Available labour stock grows by $4$ units in every period. The economy currently has $200$ units of capital and $420$ units of labour. What is the current level of employment and what will be the level of employment tomorrow?