Could you please show all work and answer all question's, thank you!!

Consider the data in the following Table. Moreover, assume that y$\_($i$)=$ bar$($A$)\_($i$)$k$\_($i$)^(1//3),$ where k$\_($i$)$

is capital per capita for country i$,$ bar$($A$)\_($i$)$ is the total factor productivity, and y$\_($i$)$ is the per

capita GDP for country i$.$ Finally, assume that the depreciation rate dis the same for

every country.

a$.$ Using the results from the Solow Model $($without population growth$),$ find the

steady state level of capital $($ k$^(**))$

b$.$ Using the results from the Solow Model $($without population growth$),$ find the

steady state level of production $($ y$^(**))$

c$.$ Using the expression found in b$)$ and assuming no differences in TFP $($ignore the last

column$),$ population growth, or the rate of depreciation across countries, use the

data in the table to predict the ratio of per capita GDP in each country relative to

that in the United States in steady state.

d$.$ Now, do the same exercise, assuming TFP is given by the levels in the last column.

Discuss briefly the differences you find in these two approaches.

e$.$ Based on the numbers you find with the TFP differences, compute the percentage

gap between the steady$-$state income ratio and the ratio in $2029($as shown in the

table$).$ Use the actual $2019$ ratio in the denominator.

f$.$ Apply the principle of transition dynamics to rank the countries in order of expected

growth rate over the coming decades, from fastest to slowest.