1. Suppose the production function in medieval Europe is Y = K2/3L1/3, where K is the amount of land and L is the amount of labor. The economy has with 1,000 units of land and 1,000 units of labor. Find a numerical answer to each of the following questions. a. (How much output does the economy produce? b. What are the wage and rental price of land? c. What share of output does labor receive?
1. Suppose the production function in medieval Europe is Y = K2/3L1/3, where K is the...
Suppose the production function in Europe is Y = K1/3L2/3, where K is the amount of land and L is the amount of labor. The economy begins with 8,000 units of land and 1,000,000 units of labor. Use a calculator and equations in the chapter to find a numerical answer to each of the following questions. a How much output does the economy produce? b What are the wage and the rental price of land? c What amount 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...
Is my answer correct?
Suppose that a firm's short-run production function is F(K,L) = L+VKL, where capital is fixed at K = 4. The rental rate of capital is $24 and the wage rate is $2. The variable cost of production of 48 units of output is (Hint: The amount of labor required to produce 48 units of output is an integer.) 0 $24 0 0 0
1. Suppose the production function in an economy is Y- of capital and L is the amount of labor. The economy begins with 8I units of capital and 16 units of labor. a. Suppose also, that one more unit of labor is added to the production process every year for the next four years. What is the marginal product of labor for each year? b. Now, suppose the wage paid per hour is $1.13, the rental price of capital is...
Suppose that a rm's production function is Y = (3)L^(1/4)K ^(1/2), where L is the number of employees, K is the amount of capital, and Y is the quantity of output. The wage rate is w= 4, the rental rate of capital is r = 1, and the output price is p= 6. What are the optimal L and K in the long-run? What's the long-run profit?
Suppose the firm's production function is given by q= F(K, L)= K2L with MPL=K2, MPK=2KL The price per unit of capital is 10 and the price per unit of labor is 5. Find the cost minimizing quantity of labor to produce 500,000 units of output. Please round to the closest integer.
Suppose that a firm had a production function given by q-21 K The rental rate for the fim is $10 and the wage is s5 Solve the optimization condition for K and then fill in the value that appears in front of L K- Round to the nearest 2 decimal places if necessary.) Suppose that a firm had a production function given by q-L025k075. The wage rate (w) is $10 and the rental rate () is $10 Calculate the amount...
Tiffany's company has the production function Q=2K^0.5L^0.5,
where Q measures output, K measures machine hours, and L measures
labor hours. Let the wage rate be W, and suppose that the rental
rate of capital is R=$20 and the firm wants to produce 400 units of
output. Use the Lagrange method to find the demand curve for labor
as a function of the wage rate. Your answer will have L on the left
hand side of the equation. On the right...
4. Suppose that the production is described by Y = F(KL) = AK0.40.6 where A is a constant greater than zero that measures the productivity of the available technology. K denotes the capital stock, while L is the total amount of labor. a. Suppose that A = 1, K = 10, and L = 20. What are the real wage and the real rental price of capital in this economy? b. Suppose that a hurricane destroys the capital stock by...
Macroeconomics, Problem Set #3 Due: Friday, October 26, 2017 The questions below are due at the beginning of class If you believe your handwriting is readable, you can submit a copy of handwritten homework. Otherwise, your answers should be typed. KosLas, where K is the #1. Suppose the production function in medieval Europe is Y amount of land and L is the amount of labor. The economy begins with 100 units of land and 100 units of labor. Answer the...