For the following rice production function:
Q = 80 ( K 0.6 L 0.4)
For the following rice production function: Q = 80 ( K 0.6 L 0.4) Beginning with...
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...
the second question In Example 6.4 wheat is produced according to the production function: q=100(k0.6 0.4) Beginning with a capital input of 4 and a labor input of 49, show that the marginal product of labor and the marginal product of capital are both decreasing (Round responses to two decimal places.) The MPK at 5 units of capital is 156.12 The MP at 6 units of capital is 144.02 The MP at 50 units of labor is 8.84 The MP...
Acme produces anvils using labor (L) and capital (K) according to the production function Q= f(L,K)=LK with associated marginal products MPL=K, MPK =L. The price of labor is w=2 and the price of capital is r=1. Does Acme's production function for anvils exhibit increasing, constant or decreasing returns to scale? Justify your answer
2. Consider a firm with the following production function: Q = 3K2/3L2/3 2a. Calculate the marginal product of labor. Show all work. 2b. Is the marginal product of labor increasing, decreasing or constant? Explain how you know. 2c. Calculate the output elasticity of labor. Show all work. 2d. Does the production process for this firm exhibit increasing returns to scale, decreasing returns to scale or constant returns to scale? Explain how you know.
a firms production function is Q=K^.2*L^.8 .The cost of labor $20 and the cost of capital is $80.a) what is the cost-minimizing combo of K and L if Q=100? b)does this firm have constant, increasing, decreasing returns to scale? explain. c)Prove your answer to part b using the definitions of constant, increasing or decreasing returns to scale.
Consider the production function given by Q = l^α + k^α where α > 0. At what values of α does the production technology exhibit increasing, decreasing, or constant returns to scale? Prove your answer!
12. A firm has the production function q = f(L, K) = L + K2 This firm has: a. decreasing returns to scale b. increasing returns to scale c. constant returns to scale d. increasing marginal product e. None of the above.
For each of the following production functions, solve for the marginal products of each input and marginal rate of substitution. Then answer the following for each: does this production function exhibit diminishing marginal product of labour? Does this production function exhibit diminishing marginal product of capital? Does this production function exhibit constant, decreasing, or increasing returns to scale? Show all your work.(a) \(Q=L+K\)(b) \(Q=2 L^{2}+K^{2}\)(c) \(Q=L^{1 / 2} K^{1 / 2}\)
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?
If I told you the production function that generated the isoquants is Q = 21.5L0.35 K0.5, is your answer to question 18 dependent on whether Q is a small number or a large number? The three isoquants in the graph below refer to production levels of 100 (red), 200 (green), and 255 (blue). As long as the quantity of capital (K) and labor (L) used in the production process lies on the line a, whenever is tripled K is also...