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Novi's output is given by the production function Y = LTX where Y is output, L...
4. Suppose a firm uses only one input (L) to produce output y, with the production...
4. Suppose a firm uses only one input (L) to produce output y, with the production function y L Suppose the firm sells its output in a competitive market at price p, and buys labor in a competitive market at price w. a. Write an expression for the profits of the firm as a function of w, p, and L. b. What is the marginal cost of hiring an additional unit of labor? Graph the marginal cost of labor curve...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume that capital depreciates at a rate of δ, the rate of technological progress is g, the population is growing at a rate of n and the saving rate is s. I5 marks] i. Determine the scale of production? Suppose capital is increased by a...
Suppose a firm’s production function is Y=f(K,L) and has the following: Output = 5,000 Wage rate...
Suppose a firm’s production function is Y=f(K,L) and has the following: Output = 5,000 Wage rate = 40 Marginal product of labor = 5 Labor = 100 Rental rate = 250 Capital = 75 Marginal Product of capital = 20 Price = 10 A. What is the firm’s total revenue? B. What is the firm’s total cost? C. What is the profit for the firm? D. What is the real wage rate for this firm? E. What is the real...
1. Let the production function for an economy by given by Y=AK1/2L1/2 where Y is output,...
1. Let the production function for an economy by given by Y=AK1/2L1/2 where Y is output, K is capital, L is labor and A is “ideas.” a. If L=25, A=10, the savings rate is ¼ and the depreciation rate is ½, what will the steady-state values of output, capital and consumption be? b. On a graph, show what will happen to steady-state output and capital of there is a decrease in the depreciation rate. 2. As capital increases, the marginal...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share of 0.25, a saving rate of 40 percent, a depreciation rate of 3.00 percent, a rate of population growth of 0.75 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital.
4. Consider the production functions given below: a. Suppose that the production function faced by a...
4. Consider the production functions given below: a. Suppose that the production function faced by a milk producer is given by Q = 40.5 20.5 = 4VK VL, where MPx = 2K-0.5 20.5 = 2 and MP, = 2 K0.5L-05 = 2 * i. Do both labor and capital display diminishing marginal products in the short run? ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS = 1) iii. Does this production function display...
8.5. Consider the Cobb-Douglas production function Y = BILB2 KB where Y= output, L = labor...
8.5. Consider the Cobb-Douglas production function Y = BILB2 KB where Y= output, L = labor input, and K = capital input. Dividing (1) through by K, we get (Y/K) = B.(L/KB2 KB2+B3-1 Taking the natural log of (2) and adding the error term, we obtain In (Y/K) = Bo + B2 In (L/K) + (B2+ B3 - 1) In K+u; (3) where Bo = In BI. a. Suppose you had data to run the regression (3). How would you...
2. The production function of an economy is y = 2-kas, where y is output per...
2. The production function of an economy is y = 2-kas, where y is output per labor and k is capital per labor. The growth rate of the labor force is 2% and the rate of capital depreciation is 5%. There is no Calculate the steady state capital-labor ratio (k*) if the saving rate is 10%! (3 points) What is the saving rate corresponding to the 'golden rule' growth path? (3 points) technological change a) b) c) Calculate the growth...
these three questions 1、2and 3 1. Let the production function beq Kili (K: capital, L: labor),...
these three questions 1、2and 3
1. Let the production function beq Kili (K: capital, L: labor), the unit prices of capital and labor be both $1. (a) Find the cost function. 2b (b) If the firm with this production function is in a competitive market an many units of products should the firm produce? d the market price is S12, how 2. (a) Let the cost function be C(g)-F+mq G Is there economies of scale? (ii) If market price is...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
4. Suppose a firm uses only one input (L) to produce output y, with the production function y L Suppose the firm sells its output in a competitive market at price p, and buys labor in a competitive market at price w. a. Write an expression for the profits of the firm as a function of w, p, and L. b. What is the marginal cost of hiring an additional unit of labor? Graph the marginal cost of labor curve...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume that capital depreciates at a rate of δ, the rate of technological progress is g, the population is growing at a rate of n and the saving rate is s. I5 marks] i. Determine the scale of production? Suppose capital is increased by a...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share of 0.25, a saving rate of 40 percent, a depreciation rate of 3.00 percent, a rate of population growth of 0.75 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital.
4. Consider the production functions given below: a. Suppose that the production function faced by a milk producer is given by Q = 40.5 20.5 = 4VK VL, where MPx = 2K-0.5 20.5 = 2 and MP, = 2 K0.5L-05 = 2 * i. Do both labor and capital display diminishing marginal products in the short run? ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS = 1) iii. Does this production function display...
8.5. Consider the Cobb-Douglas production function Y = BILB2 KB where Y= output, L = labor input, and K = capital input. Dividing (1) through by K, we get (Y/K) = B.(L/KB2 KB2+B3-1 Taking the natural log of (2) and adding the error term, we obtain In (Y/K) = Bo + B2 In (L/K) + (B2+ B3 - 1) In K+u; (3) where Bo = In BI. a. Suppose you had data to run the regression (3). How would you...
2. The production function of an economy is y = 2-kas, where y is output per labor and k is capital per labor. The growth rate of the labor force is 2% and the rate of capital depreciation is 5%. There is no Calculate the steady state capital-labor ratio (k*) if the saving rate is 10%! (3 points) What is the saving rate corresponding to the 'golden rule' growth path? (3 points) technological change a) b) c) Calculate the growth...
these three questions 1、2and 3
1. Let the production function beq Kili (K: capital, L: labor), the unit prices of capital and labor be both $1. (a) Find the cost function. 2b (b) If the firm with this production function is in a competitive market an many units of products should the firm produce? d the market price is S12, how 2. (a) Let the cost function be C(g)-F+mq G Is there economies of scale? (ii) If market price is...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
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