Homework Answers
1) dY/dK = 5 means that for each additional unit of Capital(K) employed, we get an increase of 5 units of product(Y).
2) The question has been answered below.
![Page No.: YOUVA Date: x = KL² [2al² - bk3 (9L²+bk²² I=dY - GL4 bk) (2 LK ² - k22/3aL2] - dL [9L² + bk² 2 - - 2ak²lt +26lks -](http://img.homeworklib.com/questions/710a4d80-7a60-11ea-88a2-d9b015d427a5.png?x-oss-process=image/resize,w_560)
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14. (Bpts) Consider an agricultural production function Y = F(KL), where is the number of units...
4. Suppose that the production is described by Y = F(KL) = AK0.40.6 where A is...
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...
Suppose he production function takes the form Y : F KN where Y he quantity of...
Suppose he production function takes the form Y : F KN where Y he quantity of ou put Kis the quanti o capital goods and is quantity of a Suppose specifically that Recall that the marginal product of labor is the the extra amount of output that results from using one extra unit of labor, while holding constant the amount of capital used. Suppose N-9 and K-16. Then, to two decimal places, the marginal product of labor is K N...
1. Suppose that the production function for lava lamps is given by Q = KL -ľ, where is the number of lamps produced pe...
1. Suppose that the production function for lava lamps is given by Q = KL -ľ, where is the number of lamps produced per year, K is the machine-hours of capital, and L is the man-hours of labor. Suppose K = 600. a. Draw a graph of the production function over the range L = 0 to L = 500, putting L on the horizontal axis and on the vertical axis. Over what range of L does the production function...
2. Consider an economy which produces output with the following production function: Y = AK 1...
2. Consider an economy which produces output with the following production function: Y = AK 1 3L 2 3 , where K is the level of capital and L is the level of labor. Please answer the following questions, assuming this production function: (a) Please express the marginal product of capital and the marginal product of labor as functions of A, K, L: (b) What fraction of income is rental income from capital? If the level of labor, L, increases,...
4. (a) Consider an economy with - production function Y-F(KL)-VK.L -depreciation of capital-16% -saving rate-24% population...
4. (a) Consider an economy with - production function Y-F(KL)-VK.L -depreciation of capital-16% -saving rate-24% population growth=2% G) if K-196 and L-100 in the eurent period, find T T andT in the eurent and the next periods. (ii) Find the steady state levels of ^. ^. and (b) Find the answers in (a) ifthe saving rate is changed to 30%. (c) Find the answers in (a) if the production function is changed to Y=F(KL)-1.08.,K·L.
Consider the Leontief production function F(KL) = min {K,L], where capital K and labor L have...
Consider the Leontief production function F(KL) = min {K,L], where capital K and labor L have respective positive input prices r and w. (a) Why is it that the cost-minimizing firm sets K 5. L? (b) What is the cost function? (c) How would your answer to part (b) change, if at all, if rw 0? Explain.
19. The product function for a company is given by f(x, y) 100x0.2 у0.7 , where x is the number of units of labor (at $48 per unit) and y is the number of units of capital (at $36 per unit). When the...
19. The product function for a company is given by f(x, y) 100x0.2 у0.7 , where x is the number of units of labor (at $48 per unit) and y is the number of units of capital (at $36 per unit). When the total cost of S100,000 is available for labor and capital, the maximum production level for this company is 147,314 units and the marginal productivity of money is .47314 a. Find the maximum number of units that can...
1.The aggregate production function is Y = F(K, L) where Y = real GDP, K =...
1.The aggregate production function is Y = F(K, L) where Y = real GDP, K = capital and L = labor. For Y = F(K, L) = K1/3Lb where b = 0 there are A.decreasing returns to scale B.increasing returns to scale C.constant returns to scale D.none of the other answers is correct. E. we cannot determine the returns to scale 2.If y = f(x) = ln U(x) then dy/dx = f’(x) = a. none of the other answers is...
1. Consider a firm's production function is given by, F(K,L) al bK, where a and b...
1. Consider a firm's production function is given by, F(K,L) al bK, where a and b are constants. Wage and rent are given by w and r, respectively. Discuss with necessary diagrams, the firm's optimal choice of capital and labor when, i. > (4 points) її. a 14 points) aw b aWw a W ㄑㄧ (4 points)
Gainesville airline's production function is given by a Cobb-Douglas form: Y = AL"K,a.B>0 where: Y =number...
Gainesville airline's production function is given by a Cobb-Douglas form: Y = AL"K,a.B>0 where: Y =number of passengers carried per year A coefficient L number of pilots (labor) K number of aircraft (capital) Suppose that the annual wage for each pilot is p, and the "price" of each aircraft (amortized annual cost) is p 1. Derive the output cost function for the Gainesville airline 2. Calculate the average and marginal cost functions, and discuss the condition when economies of scale...
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...
Suppose he production function takes the form Y : F KN where Y he quantity of ou put Kis the quanti o capital goods and is quantity of a Suppose specifically that Recall that the marginal product of labor is the the extra amount of output that results from using one extra unit of labor, while holding constant the amount of capital used. Suppose N-9 and K-16. Then, to two decimal places, the marginal product of labor is K N...
1. Suppose that the production function for lava lamps is given by Q = KL -ľ, where is the number of lamps produced per year, K is the machine-hours of capital, and L is the man-hours of labor. Suppose K = 600. a. Draw a graph of the production function over the range L = 0 to L = 500, putting L on the horizontal axis and on the vertical axis. Over what range of L does the production function...
4. (a) Consider an economy with - production function Y-F(KL)-VK.L -depreciation of capital-16% -saving rate-24% population growth=2% G) if K-196 and L-100 in the eurent period, find T T andT in the eurent and the next periods. (ii) Find the steady state levels of ^. ^. and (b) Find the answers in (a) ifthe saving rate is changed to 30%. (c) Find the answers in (a) if the production function is changed to Y=F(KL)-1.08.,K·L.
Consider the Leontief production function F(KL) = min {K,L], where capital K and labor L have respective positive input prices r and w. (a) Why is it that the cost-minimizing firm sets K 5. L? (b) What is the cost function? (c) How would your answer to part (b) change, if at all, if rw 0? Explain.
19. The product function for a company is given by f(x, y) 100x0.2 у0.7 , where x is the number of units of labor (at $48 per unit) and y is the number of units of capital (at $36 per unit). When the total cost of S100,000 is available for labor and capital, the maximum production level for this company is 147,314 units and the marginal productivity of money is .47314 a. Find the maximum number of units that can...
1. Consider a firm's production function is given by, F(K,L) al bK, where a and b are constants. Wage and rent are given by w and r, respectively. Discuss with necessary diagrams, the firm's optimal choice of capital and labor when, i. > (4 points) її. a 14 points) aw b aWw a W ㄑㄧ (4 points)
Gainesville airline's production function is given by a Cobb-Douglas form: Y = AL"K,a.B>0 where: Y =number of passengers carried per year A coefficient L number of pilots (labor) K number of aircraft (capital) Suppose that the annual wage for each pilot is p, and the "price" of each aircraft (amortized annual cost) is p 1. Derive the output cost function for the Gainesville airline 2. Calculate the average and marginal cost functions, and discuss the condition when economies of scale...
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