Answers (a-g) are attached at the bottom, can you please help me with problems (H-L)

Thank you!

Assume that we live in an imaginary world where there are two countries: Cocoloco and Sambapati. These two countries have the same population size, population growth, depreciation rate and production function. But Cocoloco has a larger capital stock than Sambapati. Output in both countries is produced according to the following constant-returns-to-scale production mction that lies at the heart of the standard Solow growth model: Y0) = 35[K(t)]'5[1-(t)]'5 where Y(t) is the aggregate output in year t, K (t) is the capital in year t, and L(t) is the labor in year t. Assume that the savings rate is 18% (s = 0.18), the population grows at a rate of 0.9 % per year (11 = 0.009), and capital depreciates at a rate of 1.6% per year (d = 0.016). (a) [3 pts] Express the production function in per capita terms (i.e., derive an expression for y as a function of k, where y indicates output-to-labor ratio, and k is the capital-to-labor ratio). Just type the nal expression. (non-math format is enough, for example a=(b"1/3)*c"(2/3)) (b) [4 pts ]What are the steady state levels of capital per worker (kss) and income per worker(yss)? (use two decimals for display) Assume that in the initial year (t=0), the capital stock per worker in Cocoloco is 450 (K(0) = 450) and the capital stock per worker in Sambapati is 150 (K(0)=150). In addition, assume that the population is 1 for both Cocoloco and Sambapati (L(0)=1). (c) [4 pts] For Cocoloco, what are the total income Y(0), total saving S(0) at the end of year 0? (use two decimals for display) Y(0) S(0) (d) [4 pts] For Cocoloco, what are the capital per worker k(1), income per capita y(1) in year 1? (Use two decimal spaces for display) k(1) y(1)4 ( 6 ) = 35 ( K( + ) ] [ L ( + ] ]05 In per capita terms y ( 6 ) = 35 [ RC ) ]os where (y(t ) 2 Y (t) L ( t ) k ( ) = KC) 85 = 0. 18 LLt) 1 = 0.009 d = 0.016 Butterflow (ca ) Production in pea- capita teams divide fad by 1( t ), wale get Y(+ ) / L() = 35 [K(t )70-5 [LICE] / LICE ) y (+ ) = 35 [ RUG ) 5 210 .0- 60)4 :109 Steady State RTH = Rx- dR+ + +10 RTH = RX - 0.016 kx + 0- 18 ( 35 Ret ) At steady estate RAH - RE = R) , 80 RX = R - 0.016 R + 0-18 ( 35 RXOS) 0 . 016 k = 0.18 ( 35 ) R * 0.5 R = ( 393.75 )2 = (393. 75 ) OR yos = 13781.25 45 = 18781.25