Problem 4 (100 points) This problem is about Solow growth model. Assume that Korea is a closed economy. Korea has a Cobb-Douglas production function: Y = K1/3 (LE)2/3 where Y denotes output, K capital, L labor, E labor efficiency. Korea's population growth rate was 3%, n=0.03, and the growth rate of labor efficiency is 3%, g =0.03. Suppose that the Korean economy is in a steady state initially. 1) Find out the GDP growth rate. (Growth Accounting) Note that we can rewrite the production function in terms of growth rates: 2) Find out the contributions of capital, labor, and efficiency to Korea's GDP growth (Students should write down three numbers)