i need help with part D. pls explain in detail and show all work. thanks

Page 10 of 11 c. What is the steady-state value of consumption per worker? (3 marks) Ct = yt- st from part b = yt - O. Dyt =4.90 - 0.2 ( 4.90) = 3.920) d. If the saving rate increases to 0.4, what is the new savings function? What impact does this have on the steady-state value of capital, output per worker, and consumption per worker? (8 marks)Page 9 41 21 2. A country has the per worker production function y = 3kr23, where y is output por worker and ke is the capital-labour ratio. The depreciation rate is 0.1 and the population growth rate is 0.05. The saving function is S= 02Y, where Sti total national saving and vt is total output. (17 marks) a. What is the steady state value of capital-labour rayo? (3 marks) a=0.1 0=0.05 Y = 3K =15 AX = Stx Yt = (dan)kt ARE = 0.1 x 3K 23 = (0.1 +0.05 ) kt 0.6 K, 213- 0.015K 2 x0. 6 K/ 13 = 0.13kt 0.4 Kits = 0.15Kt 113 Kit XO.13K* = 0.4 1 313 0. 15K 43 = 0.4 b. What is the steady-state value of output per worker? (3 marks) 4+ = 3 K 213 14= 26 666 7 = 3 ( 2.086)43 REZ.086 = 4.89 8979 486 ye * = = 4.90