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Consider a representative firm that produces using capital (K) and labor (N). The firm hires workers...
21. 12 points Consider a firm that produces output using labor (L) and capital (K). Sup-...
21. 12 points Consider a firm that produces output using labor (L) and capital (K). Sup- pose the firm's production technology is f(L, K) = L+ VK and the input prices are w and r for the wage and rental rate of capital. Find the firm's profit maximizing demands for labor and capital. 2.c.K
Question 2: Firms Consider a firm that produces output Y from capital K and labour N...
Question 2: Firms Consider a firm that produces output Y from capital K and labour N using the production iechoolopy Y KNdThe f's capital endowcnt is piven as K 50 Labour is hired to maximize profits. At a wage rate w, the firm's labour costs are wN The firm's profit (as a function of N is therefore 1. Find the firm's labour demand function by maximizing profits and solving the fist order condition for the wage rate w. 2. Plot...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of...
Consider a profit maximizing firm that uses a Cobb-Douglas production function Y = AKαL 1−α and...
Consider a profit maximizing firm that uses a Cobb-Douglas production function Y = AKαL 1−α and hires labor L at wage rate w and capital K at rental rate r. (1) Set up the profit-maximization problem of the firm and derive the first-order condition for the profit-maximizing choice of capital. (2) Show that the marginal product of capital is a decreasing function of capital. (3) Solve for the optimal choice of capital and show that the optimal choice of capital...
A firm produces output Q by using capital K and labor L in fixed proportions, i.e....
A firm produces output Q by using capital K and labor L in fixed proportions, i.e. Q = F (K ,L ) = min {K, L/3}. The price of a unit of labor is w = 6, the price of a unit of capital is r = 2 and the price of output is p = 20. a) Draw the isoquant for Q = 8. b) Find the marginal product of labor. Suppose that (in part c and d) the...
Name: 1. Consider a firm that hires workers (L) and produces output (Q). a. If the...
Name: 1. Consider a firm that hires workers (L) and produces output (Q). a. If the firm charges a price of $1 per unit output (P) and pays a nominal wage of $8 per worker (W), fill in the values in the following table, where MPL is marginal product of labor (units per worker), VMPL is the value of the marginal product of labor ($ per worker), and W/P is the real wage (units per worker). Labor Output MPL Price...
1. Consider a firm which produces according to the following production function by using labor and...
1. Consider a firm which produces according to the following production function by using labor and capital: f(1,k) = klid (e) Suppose the wage rate of labor is 2 TL, the rental rate of capital is 2 TL and fixed capital input, k, is 2 units. What amount of output minimizes short-run average cost? What is the minimum possible short-run average cost? (f) Find short-run firm supply as a function of input prices, w and v, and output price, p....
Lulu currently hires 4 workers and rents 9 machines to produce 12 leggings. Is Lulu minimizing...
Lulu currently hires 4 workers and rents 9 machines to produce
12 leggings. Is Lulu minimizing her costs? How do you know?
Lulu owns a firm that produces leggings. The production function is given by Q = 2VKVL, so that MPL VK VI and MPk = VL Q is Lulu's VK output, K is capital, L is labor, and MP is the marginal product. The wage (w)rate per worker (L) is $40 per day and rental rate (r) per unit...
A firm produces toasters using capital (K) and labor (L). The price of capital is r...
A firm produces toasters using capital (K) and labor (L). The price of capital is r > 0 and the price of labor is w > 0. The quantity Q of toasters produced is given by the function: Q = f(L, K) = L^(1/2) K^(1/3) (a) What type of returns to scale does the firm have? (b) Assume that the firm minimizes costs and that all factors are variable . i. Explain the conditions that hold when the plant produces...
7. Suppose a perfectly competitive firm uses capital and labor to produce a single output. The...
7. Suppose a perfectly competitive firm uses capital and labor to produce a single output. The firm's exogenous price for output is Po. The firm's exogenous cost for capital is ro. The firm's exogenous cost for labor is wo. The firm's production function is given by Q = f(K, L) where: 8f/8K, 8f/OL>0, 62f/8K2, 82f/8L2 <0, and 82f/8KOL = 0 a) Given the profit function for the firm. b) Find the FOC's for K* and L* that allow profit maximization....
21. 12 points Consider a firm that produces output using labor (L) and capital (K). Sup- pose the firm's production technology is f(L, K) = L+ VK and the input prices are w and r for the wage and rental rate of capital. Find the firm's profit maximizing demands for labor and capital. 2.c.K
Question 2: Firms Consider a firm that produces output Y from capital K and labour N using the production iechoolopy Y KNdThe f's capital endowcnt is piven as K 50 Labour is hired to maximize profits. At a wage rate w, the firm's labour costs are wN The firm's profit (as a function of N is therefore 1. Find the firm's labour demand function by maximizing profits and solving the fist order condition for the wage rate w. 2. Plot...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of...
Name: 1. Consider a firm that hires workers (L) and produces output (Q). a. If the firm charges a price of $1 per unit output (P) and pays a nominal wage of $8 per worker (W), fill in the values in the following table, where MPL is marginal product of labor (units per worker), VMPL is the value of the marginal product of labor ($ per worker), and W/P is the real wage (units per worker). Labor Output MPL Price...
1. Consider a firm which produces according to the following production function by using labor and capital: f(1,k) = klid (e) Suppose the wage rate of labor is 2 TL, the rental rate of capital is 2 TL and fixed capital input, k, is 2 units. What amount of output minimizes short-run average cost? What is the minimum possible short-run average cost? (f) Find short-run firm supply as a function of input prices, w and v, and output price, p....
Lulu currently hires 4 workers and rents 9 machines to produce
12 leggings. Is Lulu minimizing her costs? How do you know?
Lulu owns a firm that produces leggings. The production function is given by Q = 2VKVL, so that MPL VK VI and MPk = VL Q is Lulu's VK output, K is capital, L is labor, and MP is the marginal product. The wage (w)rate per worker (L) is $40 per day and rental rate (r) per unit...
7. Suppose a perfectly competitive firm uses capital and labor to produce a single output. The firm's exogenous price for output is Po. The firm's exogenous cost for capital is ro. The firm's exogenous cost for labor is wo. The firm's production function is given by Q = f(K, L) where: 8f/8K, 8f/OL>0, 62f/8K2, 82f/8L2 <0, and 82f/8KOL = 0 a) Given the profit function for the firm. b) Find the FOC's for K* and L* that allow profit maximization....
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