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7. In a country the production function is y = k12. The fraction of output invested,...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5 Points) Does this production function have constant returns to scale? Explain. (5 Points) What is the per-worker production function, y=f(k)? (10 Points) Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using...
4. A country is described by the Solow Model, with production function y - Aki where y is Output ...
4. A country is described by the Solow Model, with production function y - Aki where y is Output per Worker (Y/L) and k is Capital per Worker (K/L). Suppose k- 400. The fraction of output invested is 50% (s-05) and the depreciation rate is 5% (6-0.05). A, the overall productivity parameter equals 1. Is the country at its steady state level of output per worker, above the steady state or below the steady state? Show how you reached your...
An economy (country A) has a Cobb-Douglas production function: Y = K0.4 (LE) 0.6 The economy...
An economy (country A) has a Cobb-Douglas production function: Y = K0.4 (LE) 0.6 The economy has a saving rate of 48 percent, a depreciation rate of 2 percent, a rate of population growth of 1 percent, and a rate of labor-augmenting technological change of 3 percent. Assume there is a second economy (country B) with everything identical to country A except for the rate of population growth, which is 2 percent. Answer questions 4 and 5 above for country...
Problem 4 Consider a country with production function , where y = 5k1/2, where y is...
Problem 4
Consider a country with production function , where y =
5k1/2, where y is the output per worker and k is capital
per worker. Suppose the investment in capital occurs at a rate of
35% of income per worker every period, depreciation rate is 1.5%
and population growth rate is 2%. Use excel to plot the production
function, investment line and capital depletion line with k on the
x-axis(use the attached spread sheet to draw your graphs).
-attached...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 D...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 Does this production function have constant returns to scale? Explain. b. What is the per-worker production function, y = f(k)? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of...
A country has the following production function: Yt=Kt^0.5Lt^0.5 Assume that 5 percent of of capital depreciates...
A country has the following production function: Yt=Kt^0.5Lt^0.5 Assume that 5 percent of of capital depreciates each year and the country saves 20 percent of output each year. What is the per worker production function, What is the steady-state level of capital per worker? What is the steady-state level of output per worker? The steady-state level of consumption per worker is: The steady-state level of saving per person is: The growth rate of output per person in the steady-state is:
WRITING MUST BE CLEAR TO READ! 3. Country A and country B both have the production...
WRITING MUST BE CLEAR TO READ!
3. Country A and country B both have the production function Y = F(K, L) = K^(1/3) L ^(2/3). 3a. Does this production function have constant returns to scale? Explain. 3b. What is the per-worker production function, y = f(k)? 3c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country...
pls solve parts d, e, f Suppose Country X's production function is given by F(K, AN)...
pls solve parts d, e, f
Suppose Country X's production function is given by F(K, AN) = 206,05(A, N.)05 where K, is the capital and A, N, is the effective worker. The evolution of the capital stock is given by K+1 = 0.74K, +1, where the depreciation rate is 26%. Additionally, the saving rate is 36%, the population growth rate is 4% and the technological growth rate is 10%. (a) Derive and show that in the Solow growth model, the...
pls solve parts g,h,i, j Suppose Country X's production function is given by F(K, A,N) =...
pls solve parts g,h,i, j
Suppose Country X's production function is given by F(K, A,N) = 206,05(A, N,905 where K, is the capital and A, N, is the effective worker. The evolution of the capital stock is given by K +1 = 0.74K, +1 where the depreciation rate is 26%. Additionally, the saving rate is 36%, the population growth rate is 4% and the technological growth rate is 10% (a) Derive and show that in the Solow growth model, the...
Suppose the production function is given by ? = ?^a?'^1-a, where Y is output; K is...
Suppose the production function is given by ? = ?^a?'^1-a, where Y is output; K is capital stock and N is Labor (look Appendix in Chapter 16). a. Is this production function characterized by constant return to scale? How? Show the work. b. Write this production function as a relationship between output per worker and capital per worker. c. If saving (S) equals investment (I), and S = sY, where s is saving rate, what is the corresponding investment per...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5 Points) Does this production function have constant returns to scale? Explain. (5 Points) What is the per-worker production function, y=f(k)? (10 Points) Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using...
4. A country is described by the Solow Model, with production function y - Aki where y is Output per Worker (Y/L) and k is Capital per Worker (K/L). Suppose k- 400. The fraction of output invested is 50% (s-05) and the depreciation rate is 5% (6-0.05). A, the overall productivity parameter equals 1. Is the country at its steady state level of output per worker, above the steady state or below the steady state? Show how you reached your...
Problem 4
Consider a country with production function , where y =
5k1/2, where y is the output per worker and k is capital
per worker. Suppose the investment in capital occurs at a rate of
35% of income per worker every period, depreciation rate is 1.5%
and population growth rate is 2%. Use excel to plot the production
function, investment line and capital depletion line with k on the
x-axis(use the attached spread sheet to draw your graphs).
-attached...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 Does this production function have constant returns to scale? Explain. b. What is the per-worker production function, y = f(k)? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of...
WRITING MUST BE CLEAR TO READ!
3. Country A and country B both have the production function Y = F(K, L) = K^(1/3) L ^(2/3). 3a. Does this production function have constant returns to scale? Explain. 3b. What is the per-worker production function, y = f(k)? 3c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country...
pls solve parts d, e, f
Suppose Country X's production function is given by F(K, AN) = 206,05(A, N.)05 where K, is the capital and A, N, is the effective worker. The evolution of the capital stock is given by K+1 = 0.74K, +1, where the depreciation rate is 26%. Additionally, the saving rate is 36%, the population growth rate is 4% and the technological growth rate is 10%. (a) Derive and show that in the Solow growth model, the...
pls solve parts g,h,i, j
Suppose Country X's production function is given by F(K, A,N) = 206,05(A, N,905 where K, is the capital and A, N, is the effective worker. The evolution of the capital stock is given by K +1 = 0.74K, +1 where the depreciation rate is 26%. Additionally, the saving rate is 36%, the population growth rate is 4% and the technological growth rate is 10% (a) Derive and show that in the Solow growth model, the...
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