![3. [30%] Consider a competitive industry. Each firm has the following production func- tion: f (K, L) = K}L. WON (a) Set up t](http://img.homeworklib.com/questions/d22285b0-785c-11ea-b0f8-f58eb44e4e4d.png?x-oss-process=image/resize,w_560)
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3. [30%] Consider a competitive industry. Each firm has the following production func- tion: f (K,...
4. A firm produces computers with two factors of production: labor L and capital K. It's...
4. A firm produces computers with two factors of production: labor L and capital K. It's pro- duction function is y 10 . Suppose the factor prices are wL = 10 and wk = 100. (a) Graph the isoquants for y equal to 1,2, and 3. Does this technology show increasing, constant, or decreasing returns to scale? Why? (b) Derive the conditional factor demands. (c) Derive the long-run cost function C(y). (d) If the firm wants to produce one computer,...
For a production function F(KL) = K-L2 and factor prices wK-2 and WL-3 Assume that K equals 27 un...
For a production function F(KL) = K-L2 and factor prices wK-2 and WL-3 Assume that K equals 27 units in the short run a. Derive the long run optimum bundle of inputs if the quantity of output is q-25-32. b. Derive the long run cost function of a firm with this technology. c. Derive the short run cost function of a firm with this technology.
For a production function F(KL) = K-L2 and factor prices wK-2 and WL-3 Assume that...
4. A firm produces computers with two factors of production: labor L and capital K. It's pro- duction function is ....
4. A firm produces computers with two factors of production: labor L and capital K. It's pro- duction function is . Suppose the factor prices are wl = 10 and wK = 100. (a) Graph the isoquants for y equal to 1.2, and 3. Does this technology show increasing, constant, or decreasing returns to scale? Why? (b) Derive the conditional factor demands. (c) Derive the long-run cost function C(y). (d) If the firm wants to produce one computer, how many...
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the outpu...
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the output good is p > 0. The prices of the inputs Labour and Capital are w> 0 and r>0 respectively. The firm chooses L and K in order to maximize profits, (L.K). (a) How does the short-run production function differ from the long-run production function? (b) Write out the profit function for the firm, (L,K). (c) Derive the first order...
3. Suppose that steel is produced by a competitive industry. Each firm in the industry has...
3. Suppose that steel is produced by a competitive industry. Each firm in the industry has the following cost function: TC = 36+q?. The demand function is Q = 2520-10p a. Derive an expression for marginal cost? At what output is average cost minimized? What is the short run supply curve for this industry? Be as precise as you can. b. Suppose the government gives a subsidy of 11 to each firm in the industry. The subsidy is fixed and...
Question 27 A perfectly competitive industry is composed of 100 firms. Each firm has an identical...
Question 27 A perfectly competitive industry is composed of 100 firms. Each firm has an identical short-run marginal cost function SMC = 5+10q (where q is the firm's level of output). If Q denotes industry output, what is the short-run market supply curve for output? a) Q = -50 + 10p if p > 5 and 0 if p 5 5 α Q = -5 + TOP p if p > 5 and 0 if p < 5 + α...
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...
Consider an industry with 7 identical competitive firms. The production function of a representat...
Consider an industry with 7 identical competitive firms. The production function of a representative firm is q = min{√x1, √x2}, where x1 and x2 are the inputs that the firm uses to produce output q. Suppose that the input prices are w1 = 4 and w2 = 3. The demand function is q^D(p) = 48 − p. Assume that firms cannot enter or exit the market. Find the equilibrium price and quantity. Compute the profit of each firm.
NEED ALL ANSWERS PLEASE Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce...
NEED ALL ANSWERS PLEASE
Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce one output, (y). The price of capital, W, is S1 per unit and the price of labor, wi, is SI per unit. The firm operates in competitive markets for outputs and inputs, so takes the prices as given. The production function is f(k,l) 3k025/025. The maximum amount of output produced for a givern amount of inputs is y(k, l)...
2. Consider the following cost minimization problem. A firm minimizes total cost given by, TC =...
2. Consider the following cost minimization problem. A firm minimizes total cost given by, TC = wL+rK subject to an output constraint as given by the production function, y=f(K,L)=8K05 +420S, where TC refers to total cost, L is labor input, K is capital input, r is the price of capital, w is the wage rate, and y is output. a. Derive the factor demand functions and the optimal cost function. The first order conditions and all the steps involved in...
4. A firm produces computers with two factors of production: labor L and capital K. It's pro- duction function is y 10 . Suppose the factor prices are wL = 10 and wk = 100. (a) Graph the isoquants for y equal to 1,2, and 3. Does this technology show increasing, constant, or decreasing returns to scale? Why? (b) Derive the conditional factor demands. (c) Derive the long-run cost function C(y). (d) If the firm wants to produce one computer,...
For a production function F(KL) = K-L2 and factor prices wK-2 and WL-3 Assume that K equals 27 units in the short run a. Derive the long run optimum bundle of inputs if the quantity of output is q-25-32. b. Derive the long run cost function of a firm with this technology. c. Derive the short run cost function of a firm with this technology.
For a production function F(KL) = K-L2 and factor prices wK-2 and WL-3 Assume that...
4. A firm produces computers with two factors of production: labor L and capital K. It's pro- duction function is . Suppose the factor prices are wl = 10 and wK = 100. (a) Graph the isoquants for y equal to 1.2, and 3. Does this technology show increasing, constant, or decreasing returns to scale? Why? (b) Derive the conditional factor demands. (c) Derive the long-run cost function C(y). (d) If the firm wants to produce one computer, how many...
1. Consider the production function y = f(L,K) for a firm in a competitive market setting. The price of the output good is p > 0. The prices of the inputs Labour and Capital are w> 0 and r>0 respectively. The firm chooses L and K in order to maximize profits, (L.K). (a) How does the short-run production function differ from the long-run production function? (b) Write out the profit function for the firm, (L,K). (c) Derive the first order...
3. Suppose that steel is produced by a competitive industry. Each firm in the industry has the following cost function: TC = 36+q?. The demand function is Q = 2520-10p a. Derive an expression for marginal cost? At what output is average cost minimized? What is the short run supply curve for this industry? Be as precise as you can. b. Suppose the government gives a subsidy of 11 to each firm in the industry. The subsidy is fixed and...
Question 27 A perfectly competitive industry is composed of 100 firms. Each firm has an identical short-run marginal cost function SMC = 5+10q (where q is the firm's level of output). If Q denotes industry output, what is the short-run market supply curve for output? a) Q = -50 + 10p if p > 5 and 0 if p 5 5 α Q = -5 + TOP p if p > 5 and 0 if p < 5 + α...
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...
NEED ALL ANSWERS PLEASE
Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce one output, (y). The price of capital, W, is S1 per unit and the price of labor, wi, is SI per unit. The firm operates in competitive markets for outputs and inputs, so takes the prices as given. The production function is f(k,l) 3k025/025. The maximum amount of output produced for a givern amount of inputs is y(k, l)...
2. Consider the following cost minimization problem. A firm minimizes total cost given by, TC = wL+rK subject to an output constraint as given by the production function, y=f(K,L)=8K05 +420S, where TC refers to total cost, L is labor input, K is capital input, r is the price of capital, w is the wage rate, and y is output. a. Derive the factor demand functions and the optimal cost function. The first order conditions and all the steps involved in...
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