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For each of the following production functions, describe its returns to scale and provide an explanation...
Returns to scale. A production function has constant returns to scale with respect to inputs with inputs K and L if for any z > 0: F(z · K, z ·L) = zF(K, L), For example, for a production function with constant returns to scale, doubling the amount of each input (i.e., setting z = 2) will lead to a doubling of the output from the production function. A production function has increasing returns to scale if for any z >1: F(z ·...
13. Which of the following production functions exhibit decreasing returns to scale? In each case, q is output and K and L are inputs. (1)q=K1/3 L2/3.(2)q=K1/2 L1/2.(3)q=2K+3L. a. 1,2,and3 b. 2and3 c. 1and3 d. 1and2 e. None of the functions
Consider the following production function: q= 4L+K. Which term describe this production function's returns to scale? Select one: a. Constant Returns to Scale b. Increasing Returns to Scale c. Decreasing Returns to Scale
Consider the following production function: q= 4L+K. Which term describe this production function's returns to scale? Select one: a. Decreasing Returns to Scale b. Increasing Returns to Scale c. Constant Returns to Scale
Consider the following production function: q= 4L^0.7K^0.4. Which term describe this production function's returns to scale? a. Decreasing Returns to Scale b. Constant Returns to Scale c. Increasing Returns to Scale
For each of the following production functions, determine whether returns to scale are decreasing , constant, or increasing when capital and labor inputs are increased from K = L = 1 to K = L = 2 Q = 25K0.5 L0.5 Q = 2K + 3L + 4KL Q = 100 + 3K + 2L
Determine whether the following production functions exhibit constant, increasing, or decreasing returns to scale. L, K, and H are inputs and Q is the output in each production function. Initially, set each input = 100 and determine the output. Then increase each input by 2% and determine the corresponding output to see if constant, increasing, or decreasing returns to scale occur. (a) Q = 0.5L + 2K + 40H (b) Q = 3L + 10K +...
Given the following production functions, determine if they exhibit increasing, decreasing, or constant returns to scale. Be sure to mathematically prove your answer and show your work. Y = K + L Y = 4(K + L)0.5 Y= 10(KL0.5)
1. State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a) Y = K1/3L1/2 (b) Y = K2/3L (c) Y = K1/2 [1/2
Do the following production functions exhibit increasing, constant, or decreasing returns to scale? (show your work to illustrate the answer), where Q is quantity of output, K is the amount of capital used, and L is the amount of labor used. a) Q=K^1/3 L^2/3 b) Q=7K^1/5 L^3/5 c) Q=4K+8L d) Q=3k^5 L^4