Hello, I need help with the following question

Exercise 3 (35 Points) Consider a two period economy without investment but with variable hours of work No In this economy, the aggregate (inverse) labour supply function is uj = 2+0.3No + 0.2Co and the aggregate consumption function is Co(r) = 0.6(Yo - Go) + 24/(1 + r) Aggregate output is produced according to Yo = 20/Vo. It follows that firms are willing to hire any amount of labor at wage wi = 20. The government spends Go = 100 in period 0 which is entirely financed by lump sum taxes To. Assume that labour productivity 20 is equal to 15. (a) Suppose that Co = 50. Draw the inverse labor demand curve (i.e. wp against No). Would consumers accept to work if wo = 10 ? (b) Find the equilibrium value of No and the equilibrium wage wo, given Co. (c) Suppose that No = 10. Find the equilibrium interest rate r and aggregate consump- tion in this case. Illustrate with a graph. (d) What do you conclude from (a), (b), (c)? Explain. Suppose that government spending increases by 17.5 (e) What happens to consumption and to aggregate demand if r and No stay the same (i.e. r =0.2 and No = 10)? Explain why No will also change. (f) Verify that No will increase by 1 if r remains constant. Explain why r cannot remain at 0.2. Will r increase or decrease? How will Co and No be affected by this change? (g) Illustrate with a graph of the Goods market and a graph of the labor market what happens after Go increases (from one equilibrium to the other): first, when r remains constant, and then, when r changes