Hello, I want to ask Question 5.1 and 5.2 Thank you!!

Consider the Solow-Swan growth model with human capital, in which the production function is given by: Y(t) = K(t)"(A(t ) H (t ) ) 1- High-skilled labour depends on the number of workers through the expression: H(t) = eyuL(t), and capital accumulates according to: K (t) = sY(t) - 8K(t). Assume that technology and the number of workers rise over time according to: A(t) = gA(t), and L (t) = nL(t), respectively. The parameters satisfy: 0 0, u > 0, g > 0, andn > 0. The government of a developing country has hired you as an economic adviser. The government recognises that their income-per-person is only half that of neighbouring richer countries, and holds the view that their economic fortunes would be greatly improved by increasing the minimum school leaving age to a level in-line with its richer neighbours. Using the model described above, answer the following questions and show all working: 5.1. Derive an expression for steady-state output-per-effective-worker. Explain the effect that an increase in the number of years of schooling, u, has on steady-state output- per-effective-worker and use a Solow-Swan diagram to illustrate the effect that an increase in u has on the economy in the short-run and the long-run. (You may assume that the increase in u occurs when the economy is at steady state). (20%) 5.2. Will a change in years of schooling, u, lead to higher growth in income-per-worker in the short-run and/or the long-run? Support your answer using a diagram depicting growth in income-per-worker over time as the economy approaches the balanced growth path following an increase in u that occurs at time to. (20%)