Homework Answers
q = LaKb
Economies of scale occur when long run average cost falls as output rises.
It would occur if q (xk, xl) = xz q(k, l) where z is greater than 1. It is only possible when a + b > 1 because (xl)a (xk)b is x(a + b) lakb. Here a + b = z which have to be greater than 1.
Option B is correct.
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If a production function is represented as q=Lakb, the long-run average cost curve will slope downward...
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....
Q2 please！ (ii) Does the slope of your long-run total cost curve correspond to your (iii)...
Q2 please！
(ii) Does the slope of your long-run total cost curve correspond to your (iii) Explain why, at any output level, the long-run total cost is always less than prediction in Part (2) or equal to the short-run total cost. Long-run marginal cost curve On Curve Sheet C, draw the long-run marginal cost curve. (7) (8) (i) (ii) Long-run average cost. On the attached Curve Sheet C, draw the long-run average cost curve. Explain why, at any output level,...
3. How are increasing returns to scale for a long-run production function and a downward sloping...
3. How are increasing returns to scale for a long-run production function and a downward sloping long-nm Average Cost curve related? Explain the underlying economic reasoning clearly. (10)
a. Suppose that a firm has the Cobb-Douglas production function = 12K0.75 0.25. Because this function...
a. Suppose that a firm has the Cobb-Douglas production function = 12K0.75 0.25. Because this function exhibits returns to scale, the long-run average cost curve is , whereas the long-run total cost curve is upward-sloping, with slope. b. Now suppose that the firm's production function is = KL. Because this function exhibits returns to scale, the long-run average cost curve is upward-sloping , whereas the long-run total cost curve is upward-sloping, with slope. a. Suppose that a firm has the...
For any firm, what is the long-run average cost curve? O A A downward sloping line...
For any firm, what is the long-run average cost curve? O A A downward sloping line o B Afunction which shows the lowest average cost of producing any output level 10 c The same as the long-run marginal cost curve O D Upward sloping at all levels of output
Each firm in a perfectly competitive market has long run average cost represented as AC(q) =...
Each firm in a perfectly competitive market has long run average cost represented as AC(q) = 100q- 10+100/q. Long run marginal cost is MC=200q-10. The market demand is Qd = 2150-5P. Find the long run equilibrium output per firm, q*, the long run equilibrium price, P*, and the number of firms in the industry, n*. P = 190; Q = 1200; q =1 , n = 1200
What is the long-run cost function for a fixed-proportions production function when it takes five units...
What is the long-run cost function for a fixed-proportions production function when it takes five units of labor and four units of capital to produce one unit of output? Describe the long-run cost curve. Multiply the inputs by their prices and sum to determine total cost Let w be the cost of a unit of labor and r be the cost of a unit of capital. The long-run cost function C(q) for the fixed-proportions production function in terms of w,...
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The...
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The marginal cost curve is given by MC 0.+0.1Q. (a) Find the minimum efficient scale for the above cost function (b) What is the firm's minimum average cost? (c) Suppose you have many identical firms in a long run competitive equilibrium. Demand is P 13.1-0.040. What is the market quantity? How many firms are there? (d) Suppose demand increases to P...
5. A firm produces widgets with production function: q-2vKL. In the short run, the firm's amount...
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...
i) The long run cost function for each firm in a perfectly competitive market is c(q)...
i) The long run cost function for each firm in a perfectly competitive market is c(q) = 2^1.5+16q^0.5, LMC = 1.59^0.5+ 8q^-0.5, market demand curve is Q=1600-2p. Find price (p) of output and the level of output (q) produced by the firm in a long run equilibrium. Find the long run average cost curve for the firm. ii) what happens in the long run if the market demand curve shifts to Q=160-20p?/ -A competitive industry is in long run equilibrium....
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....
Q2 please！
(ii) Does the slope of your long-run total cost curve correspond to your (iii) Explain why, at any output level, the long-run total cost is always less than prediction in Part (2) or equal to the short-run total cost. Long-run marginal cost curve On Curve Sheet C, draw the long-run marginal cost curve. (7) (8) (i) (ii) Long-run average cost. On the attached Curve Sheet C, draw the long-run average cost curve. Explain why, at any output level,...
3. How are increasing returns to scale for a long-run production function and a downward sloping long-nm Average Cost curve related? Explain the underlying economic reasoning clearly. (10)
a. Suppose that a firm has the Cobb-Douglas production function = 12K0.75 0.25. Because this function exhibits returns to scale, the long-run average cost curve is , whereas the long-run total cost curve is upward-sloping, with slope. b. Now suppose that the firm's production function is = KL. Because this function exhibits returns to scale, the long-run average cost curve is upward-sloping , whereas the long-run total cost curve is upward-sloping, with slope. a. Suppose that a firm has the...
For any firm, what is the long-run average cost curve? O A A downward sloping line o B Afunction which shows the lowest average cost of producing any output level 10 c The same as the long-run marginal cost curve O D Upward sloping at all levels of output
What is the long-run cost function for a fixed-proportions production function when it takes five units of labor and four units of capital to produce one unit of output? Describe the long-run cost curve. Multiply the inputs by their prices and sum to determine total cost Let w be the cost of a unit of labor and r be the cost of a unit of capital. The long-run cost function C(q) for the fixed-proportions production function in terms of w,...
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The marginal cost curve is given by MC 0.+0.1Q. (a) Find the minimum efficient scale for the above cost function (b) What is the firm's minimum average cost? (c) Suppose you have many identical firms in a long run competitive equilibrium. Demand is P 13.1-0.040. What is the market quantity? How many firms are there? (d) Suppose demand increases to P...
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...
i) The long run cost function for each firm in a perfectly competitive market is c(q) = 2^1.5+16q^0.5, LMC = 1.59^0.5+ 8q^-0.5, market demand curve is Q=1600-2p. Find price (p) of output and the level of output (q) produced by the firm in a long run equilibrium. Find the long run average cost curve for the firm. ii) what happens in the long run if the market demand curve shifts to Q=160-20p?/ -A competitive industry is in long run equilibrium....
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