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B. Competitive Factor Markets The production uses Cobb-Douglass technology, F (Ke, L) = K L-a; a<...
B. Competitive Factor Markets The production uses Cobb-Douglass technology, F(K, Li) = KL-4; a< 1, and...
B. Competitive Factor Markets The production uses Cobb-Douglass technology, F(K, Li) = KL-4; a< 1, and thus output per capita is given by f (kt) = kim where he = K/L. Competitive factor markets imply that the wage rate is W = F ( KL) = f (ke) - kif' (he). Household asset, Ae, consists of capital stock, K, and government bonds, B. Since risk bonds are in zero net supply, in the aggregate B -0. Thus market cleaning implies...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of...
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?
For the Cobb-Douglas production function F(L,K) = ALαKβ, a factor-neutral technical change would be represented by:...
For the Cobb-Douglas production function F(L,K) = ALαKβ, a factor-neutral technical change would be represented by: a) an increase in the value of β b) values of α and β for which α + β = 1. c) an increase in the value of A. d) an increase in the value of α.
Consider the following Cobb-Douglas production function for a firm that uses labor hours (L), capital (K),...
Consider the following Cobb-Douglas production function for a firm that uses labor hours (L), capital (K), and energy (E) as inputs: Q = (0.0012L^0.45)(K^0.3)(E^0.2) Determine the labor, capital and energy production elasticities. Suppose that worker hours are increased by 2 percent holding other inputs constant. What would be the resulting percentage change in output? Suppose that capital is decreased by 3 percent holding other inputs constant. What would be the resulting percentage change in output? What type of returns to scale appears...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of...
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?
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the outpu...
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the output good is p > 0. The prices of the inputs Labour and Capital are w> 0 and r>0 respectively. The firm chooses L and K in order to maximize profits, (L.K). (a) How does the short-run production function differ from the long-run production function? (b) Write out the profit function for the firm, (L,K). (c) Derive the first order...
Find the steady state level of capital using solow model k'=k-(d+n+g)k+sf(k), assume production technology is Cobb-Douglas...
Find the steady state level of capital using solow model k'=k-(d+n+g)k+sf(k), assume production technology is Cobb-Douglas with f(k)=k^1/3 and d=0.05,n=0.01,g=0.015,s=0.3 d=depreciation rate, n=population growth, and g=technological progress. Also compute output,investment, and consumption.
Suppose that we have perfectly competitive input markets and output markets. Firm "Tomato Harvesting" produces canned...
Suppose that we have perfectly competitive input markets and output markets. Firm "Tomato Harvesting" produces canned tomatoes which it sells at $50. Suppose that initially the firm's production technology is given by: f(k,l) = l(1/2) Technological innovation has occurred, however. A new harvester has been invented by a professor. If the firm employs the tomato harvester, the new production technology is given by: f(k.l) = k0.25l(1/2) The rental rate of capital =$2 a) Suppose the market wage is $3. How...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
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...
B. Competitive Factor Markets The production uses Cobb-Douglass technology, F(K, Li) = KL-4; a< 1, and thus output per capita is given by f (kt) = kim where he = K/L. Competitive factor markets imply that the wage rate is W = F ( KL) = f (ke) - kif' (he). Household asset, Ae, consists of capital stock, K, and government bonds, B. Since risk bonds are in zero net supply, in the aggregate B -0. Thus market cleaning implies...
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the output good is p > 0. The prices of the inputs Labour and Capital are w> 0 and r>0 respectively. The firm chooses L and K in order to maximize profits, (L.K). (a) How does the short-run production function differ from the long-run production function? (b) Write out the profit function for the firm, (L,K). (c) Derive the first order...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
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...
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