please answer all parts

Romer Model Exercise: Consider the Romer model, Yt = AtNyt, AAt+1 = ZAtNat, and parameter values are: Ao = 10, 1 = 0.01, z = 0.035, N = 100. (a) What is the growth rate of GDP per capita? What is the per capita GDP at period 60, yt=60? (b) Suppose at period 60, the number of researchers decrease by 50% permanently. Draw a graph to show the impact. What is the value of per capita GDP, yt-60, now? (c) Suppose now the production function is still Yt = AtNyt, but the accumulation of ideas becomes AAt+1 = ZA, Nat. What is the growth rate of ideas? (d) Following from (c), what is the growth rate of output per capita at period 1