Q. 1 Consider an economy with the following Cobb-Douglas production func- tion: Y = 5K The...
Work It Out. Consider an economy with the following Cobb-Douglas production function: Y= 5K/3L2/3 where L the wag the sect are will a. If w wh a. Derive the equation describing labor demand in this economy as a function of the real wage and the capital stock. (Hint: Review Chapter 3.) b. The economy has 27,000 units of capital and a labor force of 1,000 workers. Assuming that factor prices adjust to equilibrate supply and demand, calculate the real wage,...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. what is the least cost input combination for producing 675 units of output?
4. Given a Cobb-Douglas production function Q = 25020602. 1) Derive expressions for the average and marginal products of labour and capital; 2) Derive the partial elasticity w.t.r (with respect to) labour and capital.
According to the neoclassical theory of distribution, in an economy described by a Cobb Douglas production function, workers should experience high rates of real wage growth when a. marginal labor productivity is growing rapidly b. the capital stock is growing slowly c. the labor force is growing rapidly. d. labor productivity is growing slowly
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. assuming no fixed cost, what is the firm's total cost of production if it uses least-cost input combination to produce 675 units of output?
1. Consider the following production functions. In each case determine if: • the function is Cobb Douglas (Y = AK 11-a). If the function is Cobb Douglas, what is the value of the parameter a? • Do capital and labor exhibit diminishing returns. Explain your thinking using algebra / calculus /a graph etc. (a) F(K, L) = 27K+15VL (b) F(KL) = 5K + 3L (c) F(KL) = K0.5 0.5 (a) F(KL) - VK2 + L2 2. Suppose that the production...
An economy has a Cobb Douglas production function, given by: a, (1-a) (1) YAK L Where Yis equal to total production, K is equal to the capital input of production and L is equal to the labour input of production. The constant, A, represents technology in the economy and a the elasticity of capital. function exhibits, decreasing, increasing or constant returns to scale. [ 10 Marks A2. Carefully derive the marginal product of labour and explain how this might be...
Athens is an agricultural economy with the following Cobb-Douglas production function that uses land (x) and labor (L) as factor inputs to produce grain (V) as the real output. Y = 2x0.5 70.5 = 2/XVI Land stock is 25 units. Labor supply is 16 workers. Find real output per worker.
The Cobb-Douglas production function is given as: Q = AK1-aLa Where 0<a<1, a = .8, K =4 is the amount of capital, and L=16 is the number of unit of labor, and A = 12 is the measure of TECHNOLOGY INDEX a) Find the real wage of labor (marginal product of labor), W/P, (b) Find rate of return of capital (marginal product of capital), and (c) Discuss the insights of your findings. (d) Why is there not a large amount...
. rhis problem requires the use of calculus.) Consider a Cobb-Douglas production function with three nputs. K is capital (the number of machines). L is labor (the number of workers), and H is human capital (the number of college degrees among the workers).The production function is a. Derive an expression for the marginal product of labor. How does an increase in the amount of human capital affect the marginal product of labor? b. Derive an expression for the marginal product...