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5. Margarita's robotics has a daily production function given by O=K0.31 0.7 where K is the...
A firm has a production function q = KL, where q is the quantity of output,...
A firm has a production function q = KL, where q is the quantity of output, K is the amount of capital and L is the amount of labor. a) Does this production function exhibit increasing, decreasing or constant returns to scale? b) Does the long-run cost function exhibit economies of scale or diseconomies of scale? c) Is the LR Average Cost curve increasing or decreasing with q?
1. A production function is given by f(K, L) = L/2+ v K. Given this form,...
1. A production function is given by f(K, L) = L/2+ v K. Given this form, MPL = 1/2 and MPK-2 K (a) Are there constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) In the short run, capital is fixed at -4 while labor is variable. On the same graph, draw the 2. A production function is f(LK)-(L" + Ka)", where a > 0 and b > 0, For what values of a and...
13 Question (5 points) K3L3 is a good approximation of actual An economic analysis of the...
13 Question (5 points) K3L3 is a good approximation of actual An economic analysis of the production of laptop computers concludes that the function f(K,L) = production. Let K represent all capital used in production while L represents hours of labor. 20th attempt Part 1 (2 points) See Hint What are the returns to scale in laptop computer production? Choose one: O A. increasing O B. decreasing O C. constant O D. The returns to scale vary with different combinations...
Suppose the firm's production function is given by f(K,L) = min {K",L"} (a) For what values...
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 K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive
13. As output (plant size) increases, economies of scale occur when the A) long-run average cost...
13. As output (plant size) increases, economies of scale occur when the A) long-run average cost increases. B) long-run average cost decreases. C) short-run average total cost decreases. D) long-run average cost stays constant 14. Economies of scale can occur as a result of which of the following? A) increasing marginal costs as the firm increases its size B) higher fixed cost as the firm increases its size C) management difficulties as the firm increases its size D) greater specialization...
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is...
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is the output, L is the labour input, and K is the capital input. (a) Does this exhibit constant, increasing, or decreasing returns to scale? (b) Suppose that the firm employs 9 units of capital, and in the short-run, it cannot change this amount. Then what is the short-run production function? (c) Determine whether the short-run production function exhibits diminishing marginal product of labour. (d)...
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 company A can produce widgets according to Q=5K3/4L1/4 where Q is the output of widgets,...
A company A can produce widgets according to Q=5K3/4L1/4 where Q is the output of widgets, and K, L are quantities of capital and labor used. Are there constant, increasing or decreasing returns to scale in widget production? Explain. Are there, constant, increasing or decreasing marginal products of factors? Explain In the short run, the amount of capital used by company A. is fixed. Derive the short-run cost function. (Note that the short-run cost function will show C as a...
7. Assume that the long-run production function can be expressed as Q-SKL? Where Q is quantity...
7. Assume that the long-run production function can be expressed as Q-SKL? Where Q is quantity of output, K is the quantity of capital and L is the quantity of labor. If capital is fixed at 10 units in the short run then the short-run production function is: Q=10KL b. Q=50KL? Q=10L? d. 0=50L Q=500KL 8. For a linear total cost function: a. MC will be downward sloping b. MC = AVC c. AVC is upward sloping and linear d....
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. A production function is given by f(K, L) = L/2+ v K. Given this form, MPL = 1/2 and MPK-2 K (a) Are there constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) In the short run, capital is fixed at -4 while labor is variable. On the same graph, draw the 2. A production function is f(LK)-(L" + Ka)", where a > 0 and b > 0, For what values of a and...
13 Question (5 points) K3L3 is a good approximation of actual An economic analysis of the production of laptop computers concludes that the function f(K,L) = production. Let K represent all capital used in production while L represents hours of labor. 20th attempt Part 1 (2 points) See Hint What are the returns to scale in laptop computer production? Choose one: O A. increasing O B. decreasing O C. constant O D. The returns to scale vary with different combinations...
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 K = 10,000 and a = 1. Assuming that the firm wants to produce less than 100 units, derive
13. As output (plant size) increases, economies of scale occur when the A) long-run average cost increases. B) long-run average cost decreases. C) short-run average total cost decreases. D) long-run average cost stays constant 14. Economies of scale can occur as a result of which of the following? A) increasing marginal costs as the firm increases its size B) higher fixed cost as the firm increases its size C) management difficulties as the firm increases its size D) greater specialization...
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...
7. Assume that the long-run production function can be expressed as Q-SKL? Where Q is quantity of output, K is the quantity of capital and L is the quantity of labor. If capital is fixed at 10 units in the short run then the short-run production function is: Q=10KL b. Q=50KL? Q=10L? d. 0=50L Q=500KL 8. For a linear total cost function: a. MC will be downward sloping b. MC = AVC c. AVC is upward sloping and linear d....
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...
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