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
Do the following production functions exhibit increasing, constant, or decreasing returns to scale? (show your work...
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 +...
4. Do the following functions exhibit constant, increasing or decreasing returns to scale? a. l 31K2 b. Q L1'2K1' 21 c.Q 4L1'2 4K
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
2) Determine whether the following production functions exhibit constant, increasing, or decreasing returns to scale (or none of these) a) Y=K+L^1/3 b) Y= aln(L) + bIn(k)
Briefly show whether the following production functions exhibit increasing, decreasing, or constant returns to scale: Y = K2/3 + L2/3 Y = min {2L+K, 2K+L} Y = 20*L1/5*K4/5
13) Does the production function of Table 7-1 show constant, increasing or decreasing returns to scale if the firm increases the quantity of labor and capital used from (a) 2L and 2K to 4L and 4K? (b) 2L and 4K to 3L and 6k? TABLE 7-1 Production Functiion with two inputs Capital (K) 6 10 24 31 36 40 39 5 12 28 3640 42 40 4 12 28 36 40 40 36 Output (Q) 3 10 23 33 36...
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)
Determine whether each of the production functions below displays constant, increasing, or decreasing returns to scale: Q = K + L + KL Q = 2K2 + 3L2 Q = KL Q = min(3K, 2L)
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
Determine whether each of the production functions below displays constant, increasing, or decreasing returns to scale: Q = 10K0.75L0.25 Q = (K0.75L0.25)2 Q = K 0.75L0.75 Q = K 0.25L0.25 Q = K + L + KL Q = 2K2 + 3L2 Q = KL Q = min(3K, 2L)