The production function of a firm is ? = ??^(0.5). The rental of capital is $2,...
The production function of a firm is ? = ??^(0.5). The rental of capital is $2, the wage of labor is $2, and in short run K=10. The market demand function of the goods is Qd = 20016-2p. The firm is monopoly in the goods market.
(a) Find out the short run production function.(b) Find out the
labor requirement function.(c) Find out the total cost.
(d) Find out the marginal cost.
(e) Find out the marginal revenue.
(f) Find out the monopoly price and the quantity.(g) Find out the
profit of the firm.
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The production function of a firm is ? = ??^(0.5). The rental of
capital is $2,...
Suppose that a firm has a production function given by: ? = ?^?.???^?.? . The wage...
Suppose that a firm has a production function given by: ? = ?^?.???^?.? . The wage rate is $18 and the rental rate is $9. 12. Suppose that the firm has 4 units of capital in the short run. Find the short run total cost function. ________________________________ 13. Find the marginal product of labor (MPL) function. ________________________________ 14. Solve the optimization condition for K and write that equation. ________________________________ 15. Suppose the firm wants to minimize the cost of producing...
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....
5) A firm producing hockey sticks has a production function given by F(L,K) = 2 LK...
5) A firm producing hockey sticks has a production function given by F(L,K) = 2 LK . In the short-run, the firm's amount of capital equipment is fixed at K = 100. The rental rate of capital is r=$1, and the wage rate of labor is w=$4. a. Derive the firm's short-run total cost curve. What is the short-run average total cost? What is the short-run average variable cost? b. Find the short-run marginal cost function. What are the total...
A firm has a production function Y 2 K05L05. Use w to denote the wage rate...
A firm has a production function Y 2 K05L05. Use w to denote the wage rate and r to denote the capital rental price Let us first consider the short run situation, where the firm has K = 25 and In order to produce 10 units of output, how many units of labour does the firm need to hire? What is the average cost of the firm? Let us first consider the short run situation, where the firm has K-25....
A firm has a production function Y = 2 Ko5L05 use w to denote the wage...
A firm has a production function Y = 2 Ko5L05 use w to denote the wage rate and r to denote the capital rental price. Let us first consider the short run situation, where the firm has K = 25 and r = 2. In order to produce 10 units of output, how many units of labour does the firm need to hire? What is the average cost of the firm? a. b. Let us first consider the short run...
a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of...
a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of labor is $2 per hour and the rental cost of capital is $12 per hour. a) Determine the returns to scale for this function. b) Suppose the firm wishes to produce at cost $56. How Much capital and how much labor does the firm employ? c. Derive the short-run cost function with optimal amount of K from part b. d. Suppose that there are...
a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of...
a firm produces output according to the following function q= f(L,K) = L^1/2K^3/2. The cost of labor is $2 per hour and the rental cost of capital is $12 per hour. a) Determine the returns to scale for this function. b) Suppose the firm wishes to produce at cost $56. How Much capital and how much labor does the firm employ? c. Derive the short-run cost function with optimal amount of K from part b. d. Suppose that there are...
8.13. A firm produces a product with labor and capital. Its production function is described by...
8.13. A firm produces a product with labor and capital. Its production function is described by Q = L + K. The marginal products associated with this production function are MPL = 1 and MPK = 1. Let w= 1 and r = 1 be the prices of labor and capital, respectively. a) Find the equation for the firm's long-run total cost curve as a function of quantity Q when the prices labor and capital are w = 1 and...
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...
1. An engineering firm has estimated the production function for your firm to be Q =...
1. An engineering firm has estimated the production function for your firm to be Q = VKL. This production function has marginal products given by MP = 0.5 MPx = 0.55 resulting in MRTS = K/L. The price of capital is r and the price of labor is w. In the short run, capital is fixed at K = 36 a. Find the short run production function. b. Find the short run cost function. c. Ifr = 100 and w...
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....
5) A firm producing hockey sticks has a production function given by F(L,K) = 2 LK . In the short-run, the firm's amount of capital equipment is fixed at K = 100. The rental rate of capital is r=$1, and the wage rate of labor is w=$4. a. Derive the firm's short-run total cost curve. What is the short-run average total cost? What is the short-run average variable cost? b. Find the short-run marginal cost function. What are the total...
A firm has a production function Y 2 K05L05. Use w to denote the wage rate and r to denote the capital rental price Let us first consider the short run situation, where the firm has K = 25 and In order to produce 10 units of output, how many units of labour does the firm need to hire? What is the average cost of the firm? Let us first consider the short run situation, where the firm has K-25....
A firm has a production function Y = 2 Ko5L05 use w to denote the wage rate and r to denote the capital rental price. Let us first consider the short run situation, where the firm has K = 25 and r = 2. In order to produce 10 units of output, how many units of labour does the firm need to hire? What is the average cost of the firm? a. b. Let us first consider the short run...
8.13. A firm produces a product with labor and capital. Its production function is described by Q = L + K. The marginal products associated with this production function are MPL = 1 and MPK = 1. Let w= 1 and r = 1 be the prices of labor and capital, respectively. a) Find the equation for the firm's long-run total cost curve as a function of quantity Q when the prices labor and capital are w = 1 and...
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...
1. An engineering firm has estimated the production function for your firm to be Q = VKL. This production function has marginal products given by MP = 0.5 MPx = 0.55 resulting in MRTS = K/L. The price of capital is r and the price of labor is w. In the short run, capital is fixed at K = 36 a. Find the short run production function. b. Find the short run cost function. c. Ifr = 100 and w...
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