- LK . w -$25 and r = $50. 1. Suppose the firm's production function is...
The firm's production function is given as f(LK) = 4L·5K0.5 and input prices are w = 4 and r = 16. In the short-run, the level of capital is fixed at K = 2 What is the firm's short-run marginal cost function? Wählen Sie eine Antwort: O a. 0.25q 32/q O b. 0.125q O c. 4 + 32/q O d. 0.25q
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...
5. A firm produces widgets with production function: q-2vKL. In the short run, the firm's amount of capital is fixed at K = 100. The rental rate is v = 1 and the wage for L is w= 4. (a) Find the firm's short-run total cost curve (SRTC), short-run average cost curve (SRAC), and the short-run marginal cost (SMC) function. (b) Graph the firm's SAC and SMC using the following levels of production: q 25 and q= 100. (c) Find...
question 4 a and b please 4. Consider the production function y = LK/10, where L is labor and K is capital. (This is from Chapter 9, Exercise 4.) The factor prices are wi = 10 and wx = 100. Suppose the amount of capital, K, is fixed at 1 unit (a) Derive the short-run cost function (y). (b) Derive and graph the average total cost function ATC(y), the average variable cost function AVC(y), and the short-run marginal cost function...
A firm's production function is when $50 has been paid, and zero otherwise. The unit prices of capital and labor are r = $27 and w = $4, respectively. This firm's long-run total cost function is: Score: 1 of 1 2. Suppose the capital input is fixed in the short-run at the level for the firm in question 1. What is the output level at which this capital amount is the long-run choice? Q = 53 Q = 12 Q...
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 production function of three inputs, labor, capital, and materials, given by Q= LKM. The marginal products associated with this production function are as follows: MPL = KM, MPk = LM, and MPM = LK. Let w = 5, r = 1, and m = 2, where m is the price per unit of materials. (a) Suppose that the firm is required to produce Q units of output. Show how the cost-minimizing quantity of labor depends on the quantity Q....
does this involve langragian method using CES production function? please solve as the answer posted isn't understandable. A firm producing hockey sticks has a production function given by q=2 ki, In the short run, the firm's amount of capital equipment is fixed at k = 100. The rental rate for kis y=$1, and the wage rate for l is w = $4. a. Calculate the firm's short-run total cost curve. Calculate the short-run average cost curve. b. What is the...
(20 points) A firm's production function is q = 10.5K0.5, so that MPL = 0.5 0.5 40.5 20.5 and MPK = 0.5 0.5 10.5 k. Labor (L) costs w = 1, and capital (K) costs r = 4. a. (5 points) Solve for the long run optimal amount of labor (L') and capital (K*) if the firm wants to produce exactly 96 units of output. b. (5 points) What is the firm's long run total cost (in dollars) of producing...
The firm's production function is given as f(L,K) = 4L0.5K0.5 and input prices are w = 4 and r = 16. In the short-run, the level of capital is fixed at K = 2. What is the firm's short-run average cost function? Wählen Sie eine Antwort: O a. 0.125q 32/q b. 0.25q 16/q О с. 0.125q O d, 4 + 32/q