A) country A has investment rate (y) of 5% and country B has investment rate (y) of 20%. Additionally, both countries have an alpha of 1/3. What is the steady state of A and B?

a. 1/4

b. 1/2

c. 1/5

d. 1/16

B) Given: alpha = 1/3, n_i =0.8%, n_j = 2.1%, = .05

calculate the ratio of the steady states of i and j. (Y_i^ss/Y_j^ss)

a. 1.24

b. 0.5

c. 0.08

d. 1.11

C) Given the function: F(K,L) = K^1/3L^1/2 and K = 8 L= 100. Compute MPK

a. 1/5

b. .83

c. .91

d. 1.5

please show work.