1. A country has the per-worker production function y_{t }= 6 k_{t} ^{0.5}
where y_{t} is output per worker and k_{t} is the capital-labor ratio. The depreciation rate is 0.1 and the population growth rate is 0.1. The saving function is S_{t} = 0.1 Y_{t},
where St is total national saving and Y_{t }is total output.
(a) What is the steady-state value of capital-labor ratio?