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![80. T = 9 (sw +53) | K= q ww 75+) Jw T thus cost funch 6= wLa toka - C= q [w to .Jw + (WW +55) 5o] = q (JW +18) (swt so). C](http://img.homeworklib.com/questions/e7775af0-78ad-11ea-a50d-09756c145804.png?x-oss-process=image/resize,w_560)
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1. A firm's production function is f(K, L) = (K-1 + L-1)-1 = 1 a. Solve...
7. Suppose a firm's production function is Q-min(L,K). (This means the level of O produced is...
7. Suppose a firm's production function is Q-min(L,K). (This means the level of O produced is the smaller of L and K) a. Graph some isoquants for this firm. b. Let w = 2, r= 1, and suppose the firm's expenditures are C-12. What are the firm's demands for L and K? What is the share of labor in the cost of output? c. Now let w rise to 3. What are the firm's new demands for L and K?...
Econ 10A: Problem Set 9 (1) A firm's production function is P(L, K) 2LV2K. Find the...
Econ 10A: Problem Set 9 (1) A firm's production function is P(L, K) 2LV2K. Find the long-run profit-maximizing values of Land K when the wage for labor is w $10, the rental rate for capital is r $20, and the price of output is p $40.
A firm's Cobb-Douglas production function for output x is f(l,k)= 25/5k5, where / (labour) and k (capital) 9. are v...
A firm's Cobb-Douglas production function for output x is f(l,k)= 25/5k5, where / (labour) and k (capital) 9. are variable inputs costing w (wage rate) and r (rental cost of capital) each per unit (a) Follow the two-step (indirect) method' and begin by setting up the firm's cost- minimisation problem and deriving the three first-order conditions (FOC8) (4 marks) 2(wr)2 x2 (where, to be clear, (c) The cost function derived from the FOC8 above is c(w,r,x) 3125 1 5 the...
9. Suppose the firm's production function is given by f(K,L) min (K",L" (a) For what values...
9. Suppose the firm's production function is given by f(K,L) min (K",L" (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at R = 10,000 and a =. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K, L) = KLi. Let...
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)
9. Suppose the firm's production function is given by f(K,L) = min (Kº,L"} (a) For what values of a will the firm e...
9. Suppose the firm's production function is given by f(K,L) = min (Kº,L"} (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K,L)=KLI. Let w...
1. Suppose that output is generated by the production function Y = F(K, L, M =...
1. Suppose that output is generated by the production function Y = F(K, L, M = AK1-0-BL M. where M is the quantity of raw materials used in production. What condition is necessary for the production function to exhibit constant returns to scale? 2. Suppose instead that output is generated by a "constant elasticity of substitution" (CES) production function, Y = F(K,L) = A(Kº + L), where a < 1. What condition is necessary for the CES production function to...
1. [30 POINTS] Consider the production function y=f(L,K) = 4/1/2K1/4 where L is labor and K...
1. [30 POINTS] Consider the production function y=f(L,K) = 4/1/2K1/4 where L is labor and K is capital. Price per unit of the labor is w, price per unit of the capital is r, and the price per unit of the output is p. (a) (10 POINTS] In long-run, if the firm's objective is to maximize its profit, what are the factor demand functions of labor and capital? (b) (10 Points) What is the optimal output level y and the...
1. Suppose that a firm's production function of output Q is a function of only two...
1. Suppose that a firm's production function of output Q is a function of only two inputs, labor (L) and capital (K) and can be written Q = 25LK. Letting the wage rate for labor be w and the rental rate of capital be r, the equation for the firm's demand for capital would be: wQ A) K = 25r B) K = C) K- 25r wQ rQ 25w 25w rQ 25wQ D) E) KE
Conditional/Unconditional demand for an input factor A firm produces an output using production function Q = F(L, K):=...
Conditional/Unconditional demand for an input factor A firm produces an output using production function Q = F(L, K):= L1/2K1/3. The price of the output is $3, and the input factors are priced at pL 1 and pK-6 (a) Find the cost function (as a function of output Q). Then find the optimal amount of inputs i.e., L and K) to maximize the profit (b) Suppose w changes. F'ind the conditional labor deand funtionL.Px G) whene function L(PL.PK for Q is...
7. Suppose a firm's production function is Q-min(L,K). (This means the level of O produced is the smaller of L and K) a. Graph some isoquants for this firm. b. Let w = 2, r= 1, and suppose the firm's expenditures are C-12. What are the firm's demands for L and K? What is the share of labor in the cost of output? c. Now let w rise to 3. What are the firm's new demands for L and K?...
Econ 10A: Problem Set 9 (1) A firm's production function is P(L, K) 2LV2K. Find the long-run profit-maximizing values of Land K when the wage for labor is w $10, the rental rate for capital is r $20, and the price of output is p $40.
A firm's Cobb-Douglas production function for output x is f(l,k)= 25/5k5, where / (labour) and k (capital) 9. are variable inputs costing w (wage rate) and r (rental cost of capital) each per unit (a) Follow the two-step (indirect) method' and begin by setting up the firm's cost- minimisation problem and deriving the three first-order conditions (FOC8) (4 marks) 2(wr)2 x2 (where, to be clear, (c) The cost function derived from the FOC8 above is c(w,r,x) 3125 1 5 the...
9. Suppose the firm's production function is given by f(K,L) min (K",L" (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at R = 10,000 and a =. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K, L) = KLi. Let...
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)
9. Suppose the firm's production function is given by f(K,L) = min (Kº,L"} (a) For what values of a will the firm exhibit decreasing returns to scale? Constant returns to scale? Increasing returns to scale? (b) Derive the long-run cost function and the optimal input choices. (c) Suppose the capital is fixed at K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive 10. Consider the production function: f(K,L)=KLI. Let w...
1. Suppose that output is generated by the production function Y = F(K, L, M = AK1-0-BL M. where M is the quantity of raw materials used in production. What condition is necessary for the production function to exhibit constant returns to scale? 2. Suppose instead that output is generated by a "constant elasticity of substitution" (CES) production function, Y = F(K,L) = A(Kº + L), where a < 1. What condition is necessary for the CES production function to...
1. [30 POINTS] Consider the production function y=f(L,K) = 4/1/2K1/4 where L is labor and K is capital. Price per unit of the labor is w, price per unit of the capital is r, and the price per unit of the output is p. (a) (10 POINTS] In long-run, if the firm's objective is to maximize its profit, what are the factor demand functions of labor and capital? (b) (10 Points) What is the optimal output level y and the...
1. Suppose that a firm's production function of output Q is a function of only two inputs, labor (L) and capital (K) and can be written Q = 25LK. Letting the wage rate for labor be w and the rental rate of capital be r, the equation for the firm's demand for capital would be: wQ A) K = 25r B) K = C) K- 25r wQ rQ 25w 25w rQ 25wQ D) E) KE
Conditional/Unconditional demand for an input factor A firm produces an output using production function Q = F(L, K):= L1/2K1/3. The price of the output is $3, and the input factors are priced at pL 1 and pK-6 (a) Find the cost function (as a function of output Q). Then find the optimal amount of inputs i.e., L and K) to maximize the profit (b) Suppose w changes. F'ind the conditional labor deand funtionL.Px G) whene function L(PL.PK for Q is...
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