(Solved): Three countries, A,B and C, have the same production function: Y=F(K,L)=AK1/3L2/3 Assume all co ...

Three countries, $$A,B$$ and $$C$$, have the same production function: $$Y=F(K,L)=A{K}^{1/3}{L}^{2/3}$$ Assume all countries have 5 percent population growth rate and 15 percent depreciation rate. Assume for all countries technology (A) is equal to 10 . Assume further that country A saves at 20 percent of output, country B saves at 30 percent of output and country $$C$$ saves at 40 percent of output each year. What is the steady state level of capital per worker for country A?