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Housing Supply Assume that housing production is represented by A Y = 1 3 4L+ 4K...
Housing Supply Assume that housing production is represented by A Y = 1 3 + 4L 4K L is land and K is capital. Cost...
Housing Supply Assume that housing production is represented by A Y = 1 3 + 4L 4K L is land and K is capital. Costs are given by C = rL + K where r is the price of m is income, and p is the price of housing In terms of r and A, what is the cost of producing a single unit of housing (i.e. by setting Y=1), c(r, A)? 3. Plot this unit-cost curve for A- 1...
question 4. Housing Supply Assume that housing production is represented by A Y = 1 4K...
question 4.
Housing Supply Assume that housing production is represented by A Y = 1 4K 33 + 4L L is land and K is capital. Costs are given by C = rL + K where r is the price of m is income, and p is the price of housing 4. What is the marginal product of capital? Set it equal to 1 and solve for K. 5. Taking L 1, what is the supply curve for hous ing,...
G Housing Supply Assume that housing production is represented by Y = T + L is land and K is capital. Costs are given...
G Housing Supply Assume that housing production is represented by Y = T + L is land and K is capital. Costs are given by C=rL + K 7. Taking L = 1, what is the marginal cost of producing housing in terms of the amount produced, MC(Y, A)?
1.(20 pts) Consider the following production function: Y 4K NI-a and assume that a= ½ a....
1.(20 pts) Consider the following production function: Y 4K NI-a and assume that a= ½ a. Is this production function characterized by diminishing returns, constant returns, or increasing returns to scale? Justify your answer. Is the function characterized by diminishing or increasing returns to capital? Justify your answer. b. Transform the production function into a relation between output per worker (Y/N) and capital per worker (K/N), and then calculate the steady state levels of capital stock per worker, output per...
Assume that the aggregate production is given by the following: Y stands for output, K stands...
Assume that the aggregate production is given by the following: Y stands for output, K stands for the capital stock, N stands for the number of the people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency. a and B are parameters whose values are between 0 and 1 b) Assume that α = β--, K = 125, L-64 and A = 8 . Find the expression for the...
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at...
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at 100 units. Derive and plot Page 2 of . The total product function q(L) ii. The marginal product function MPL(L) ii. The average product function AP(L) (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at 100 units. Derive and plot: i, The total product function q(L) ii. The marginal product function MPL(L). iii. The average product function APL(L). (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short run average cost....
Question 3: Productivity, Output, and Employment (20 marks) Assume that the aggregate production is given by...
Question 3: Productivity, Output, and Employment (20 marks) Assume that the aggregate production is given by the following: Y stands for output, K stands for the capital stock, N stands for the number of the people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency. α and β are parameters whose values are between 0 and 1. a) Derive an analytical expression for the marginal product of capital (MPK),...
Question 3: Productivity, Output, and Employment (20 marks) Assume that the aggregate production is given by...
Question 3: Productivity, Output, and Employment (20 marks) Assume that the aggregate production is given by the following: Y stands for output, K stands for the capital stock, N stands for the number of the people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency. a and B are parameters whose values are between O and I a) Derive an analytical expression for the marginal product of capital (MPK),...
2. Consider an economy where production is given by Y = AN. Assume that price setting...
2. Consider an economy where production is given by Y = AN. Assume that price setting and wage setting are given by: Price setting: P=(1+m) Wage setting: W=AⓇP® (1 – u) Recall that the relation between employment (N), the labour force (L) and the unemployment rate (u) is given by: N= (1-u)L (a) Derive the aggregate supply curve (that is, the relation between the price level and the level of output given by the markup, the actual and expected level...
Housing Supply Assume that housing production is represented by A Y = 1 3 + 4L 4K L is land and K is capital. Costs are given by C = rL + K where r is the price of m is income, and p is the price of housing In terms of r and A, what is the cost of producing a single unit of housing (i.e. by setting Y=1), c(r, A)? 3. Plot this unit-cost curve for A- 1...
question 4.
Housing Supply Assume that housing production is represented by A Y = 1 4K 33 + 4L L is land and K is capital. Costs are given by C = rL + K where r is the price of m is income, and p is the price of housing 4. What is the marginal product of capital? Set it equal to 1 and solve for K. 5. Taking L 1, what is the supply curve for hous ing,...
G Housing Supply Assume that housing production is represented by Y = T + L is land and K is capital. Costs are given by C=rL + K 7. Taking L = 1, what is the marginal cost of producing housing in terms of the amount produced, MC(Y, A)?
1.(20 pts) Consider the following production function: Y 4K NI-a and assume that a= ½ a. Is this production function characterized by diminishing returns, constant returns, or increasing returns to scale? Justify your answer. Is the function characterized by diminishing or increasing returns to capital? Justify your answer. b. Transform the production function into a relation between output per worker (Y/N) and capital per worker (K/N), and then calculate the steady state levels of capital stock per worker, output per...
Assume that the aggregate production is given by the following: Y stands for output, K stands for the capital stock, N stands for the number of the people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency. a and B are parameters whose values are between 0 and 1 b) Assume that α = β--, K = 125, L-64 and A = 8 . Find the expression for the...
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at 100 units. Derive and plot Page 2 of . The total product function q(L) ii. The marginal product function MPL(L) ii. The average product function AP(L) (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at 100 units. Derive and plot: i, The total product function q(L) ii. The marginal product function MPL(L). iii. The average product function APL(L). (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short run average cost....
Question 3: Productivity, Output, and Employment (20 marks) Assume that the aggregate production is given by the following: Y stands for output, K stands for the capital stock, N stands for the number of the people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency. α and β are parameters whose values are between 0 and 1. a) Derive an analytical expression for the marginal product of capital (MPK),...
Question 3: Productivity, Output, and Employment (20 marks) Assume that the aggregate production is given by the following: Y stands for output, K stands for the capital stock, N stands for the number of the people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency. a and B are parameters whose values are between O and I a) Derive an analytical expression for the marginal product of capital (MPK),...
2. Consider an economy where production is given by Y = AN. Assume that price setting and wage setting are given by: Price setting: P=(1+m) Wage setting: W=AⓇP® (1 – u) Recall that the relation between employment (N), the labour force (L) and the unemployment rate (u) is given by: N= (1-u)L (a) Derive the aggregate supply curve (that is, the relation between the price level and the level of output given by the markup, the actual and expected level...
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