Egwald Economics: Microeconomics
Production Functions
by
Elmer G. Wiens
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Cobb-Douglas
| CES
| Generalized CES
| Translog
| Diewert
| Translog vs Diewert
| Diewert vs Translog
| Estimate Translog
| Estimate Diewert
| References and Links
G. Generate CES Data and Estimate a Translog Production Function
1. The three factor CES production function is:
q = A * [alpha * (L^-rho) + beta * (K^-rho) + gamma *(M^-rho)]^(-nu/rho) = f(L,K,M).
where L = labour, K = capital, M = materials and supplies, and q = product. The parameter nu is a measure of the returns to scale, while the parameter rho yields the elasticity of substitution sigma = 1/(1 + rho).
2. The three factor Translog production function is:
ln(q) = ln(A) + aL*ln(L) + aK*ln(K) + aM*ln(M) + bLL*ln(L)*ln(L)+ bKK*ln(K)*ln(K) + bMM*ln(M)*ln(M) + bLK*ln(L)*ln(K) + bLM*ln(L)*ln(M) + bKM*ln(K)*ln(M) = f(L,K,M).
where L = labour, K = capital, M = materials and supplies, and q = product.
3. The coefficients of the translog production function vary with sigma and nu.
The program will generate a set of 208 observations, and use ordinary least squares to estimate the Translog coefficients.
The observations are the CES function's cost-minimizing combinations of L, K, and M at the factor prices, wL, wK, wM for values of q from 15 to 40.
The factor prices are distributed about the base factor prices by adding a random number distributed uniformly in the domain [-2, 2]. The program generates the CES cost-minimizing values of L, K, and M for each combination of base prices for each value of q in the [15, 45] domain.
Base Factor Prices |
wL | wK | wM |
8 | 8 | 8 |
7 | 13 | 6 |
6 | 7 | 13 |
13 | 6 | 7 |
9 | 15 | 11 |
11 | 9 | 15 |
15 | 11 | 9 |
| | |
12 | 12 | 12 |
Set the parameters below to re-run with your own CES parameters.
Restrictions: .5 < nu < 2; .2 < sigma < 5; .1 < alpha, beta, gamma < .9
sigma = 1 → nu = alpha + beta + gamma (Cobb-Douglas)
sigma < 1 → inputs complements; sigma > 1 → inputs substitutes
Coefficient Estimates
|
Variable
| Coefficient
|
std error
| t-ratio
|
lnA | -0.000127 | 0 | -0.346 | lnL | 0.350029 | 0 | 2849.172 | lnK | 0.400026 | 0 | 3108.313 | lnM | 0.25003 | 0 | 2350.189 | lnLlnL | -0.020181 | 0 | -909.809 | lnKlnK | -0.021039 | 0 | -957.648 | lnMlnM | -0.017197 | 0 | -793.172 | lnLlnK | 0.02408 | 0 | 812.919 | lnLlnM | 0.016327 | 0 | 440.673 | lnKlnM | 0.017996 | 0 | 532.801 |
R2 = 1 |
R2b = 1 |
# obs = 208 |
The table below displays the CES function's cost-minimizing combinations of L, K, and M at the factor prices, wL, wK, wM for values of q from 15 to 40.
The column est q = f(L, K, M) (using the translog function as estimated), where L, K, and M are the CES function's cost-minimizing combinations.
CES Production Function Data |
obs # | q | est q | L | K | M | wL | wK | wM |
1 | 15 | 15 | 14.88 | 16.63 | 12.92 | 7.66 | 7.68 | 6.46 |
2 | 16 | 16 | 14.99 | 21.47 | 11.22 | 9.64 | 7.22 | 9.68 |
3 | 17 | 17 | 19.28 | 19.53 | 11.62 | 7.48 | 8.42 | 9.7 |
4 | 18 | 18 | 15 | 23.37 | 15.54 | 8.84 | 6 | 6.06 |
5 | 19 | 19 | 21.31 | 18.75 | 16.58 | 6.94 | 9.22 | 6.66 |
6 | 20 | 20 | 19.81 | 21.81 | 17.69 | 8.6 | 8.78 | 7.02 |
7 | 21 | 21 | 22.87 | 21.12 | 18.51 | 6.9 | 8.66 | 6.32 |
8 | 22 | 22 | 20.84 | 29.11 | 15.5 | 8.32 | 6.42 | 8.42 |
9 | 23 | 23 | 21.55 | 27.82 | 18.76 | 7.54 | 6.38 | 6.34 |
10 | 24 | 24 | 24.62 | 30.38 | 16.23 | 7.8 | 6.96 | 9.1 |
11 | 25 | 25 | 24.87 | 30.73 | 18.37 | 8.98 | 8 | 9.16 |
12 | 26 | 26 | 30.54 | 28.6 | 18.11 | 6.98 | 8.62 | 9.22 |
13 | 27 | 27 | 31.61 | 26.48 | 22.48 | 6.28 | 8.84 | 6.7 |
14 | 28 | 28 | 31.84 | 34.34 | 17.37 | 6.12 | 6.4 | 8.92 |
15 | 29 | 29 | 26.67 | 34.29 | 25.11 | 9.08 | 7.72 | 6.96 |
16 | 30 | 30 | 36.71 | 34.15 | 18.88 | 6.3 | 7.84 | 9.84 |
17 | 31 | 31 | 31.66 | 35.55 | 24.37 | 7.08 | 7.06 | 6.88 |
18 | 32 | 32 | 26.77 | 41.61 | 27.41 | 9.76 | 6.64 | 6.78 |
19 | 33 | 33 | 39.43 | 38.96 | 20.3 | 6.04 | 7 | 9.42 |
20 | 34 | 34 | 36.11 | 36.62 | 27.88 | 8.2 | 9.22 | 7.94 |
21 | 35 | 35 | 30.21 | 42.84 | 31.42 | 9.5 | 7.2 | 6.48 |
22 | 36 | 36 | 36.54 | 41 | 28.83 | 9.28 | 9.26 | 8.76 |
23 | 37 | 37 | 29.82 | 48.31 | 33.21 | 9.66 | 6.26 | 6.08 |
24 | 38 | 38 | 34.6 | 49.17 | 29.17 | 8.52 | 6.44 | 7.44 |
25 | 39 | 39 | 36.8 | 40.87 | 39.29 | 9.86 | 9.96 | 6.52 |
26 | 40 | 40 | 37.92 | 41.51 | 40.65 | 9.42 | 9.68 | 6.2 |
27 | 15 | 15 | 18.05 | 11.64 | 17.63 | 7.76 | 14.86 | 5.7 |
28 | 16 | 16 | 22.23 | 12.43 | 15.47 | 5.96 | 13.5 | 6.52 |
29 | 17 | 17 | 22.72 | 12.84 | 18.14 | 5.82 | 13.02 | 5.42 |
30 | 18 | 18 | 18.35 | 14.7 | 24.58 | 7.94 | 11.78 | 4.02 |
31 | 19 | 19 | 21.87 | 15.15 | 22.7 | 7.52 | 13.24 | 5.14 |
32 | 20 | 20 | 23.23 | 18.97 | 17.73 | 7.76 | 11.26 | 7.62 |
33 | 21 | 21 | 22.67 | 17.06 | 26.62 | 7.88 | 12.58 | 4.66 |
34 | 22 | 22 | 23.52 | 17.55 | 29.2 | 7.44 | 12 | 4.12 |
35 | 23 | 23 | 35.29 | 16.75 | 21.77 | 5.36 | 14.72 | 6.76 |
36 | 24 | 24 | 29.74 | 17.82 | 29.25 | 6.18 | 12.9 | 4.5 |
37 | 25 | 25 | 28.96 | 19.2 | 31.57 | 7.22 | 13.38 | 4.66 |
38 | 26 | 26 | 33.96 | 19.57 | 28.78 | 5.6 | 12.24 | 4.86 |
39 | 27 | 27 | 28.66 | 24.21 | 29.66 | 8.28 | 11.54 | 5.68 |
40 | 28 | 28 | 42.52 | 21.23 | 25.12 | 5.14 | 13.3 | 6.82 |
41 | 29 | 29 | 34.94 | 23.28 | 32.13 | 8.12 | 14.96 | 6.4 |
42 | 30 | 30 | 35.36 | 23.13 | 36.73 | 7.32 | 13.78 | 5 |
43 | 31 | 31 | 35.04 | 24.01 | 39.98 | 6.9 | 12.3 | 4.22 |
44 | 32 | 32 | 36.49 | 27.39 | 34.36 | 8.74 | 14 | 6.7 |
45 | 33 | 33 | 37.4 | 30.71 | 31.17 | 8.52 | 12.28 | 7.54 |
46 | 34 | 34 | 39.41 | 27.37 | 39.57 | 7.26 | 12.74 | 5.16 |
47 | 35 | 35 | 46.95 | 26.54 | 36.91 | 5.76 | 12.88 | 5.46 |
48 | 36 | 36 | 39.19 | 28.28 | 47.81 | 7.82 | 13.12 | 4.42 |
49 | 37 | 37 | 46.37 | 31.25 | 35.72 | 6.94 | 12.62 | 6.74 |
50 | 38 | 38 | 53.98 | 31.27 | 32.47 | 6.16 | 13.38 | 8 |
51 | 39 | 39 | 50.18 | 31.71 | 38.69 | 6.68 | 13.1 | 6.48 |
52 | 40 | 40 | 43.33 | 34.43 | 45.71 | 8.44 | 12.64 | 5.66 |
53 | 15 | 15 | 19.44 | 20.62 | 6.8 | 6 | 6.4 | 14.76 |
54 | 16 | 16 | 18.97 | 20.94 | 8.6 | 6.9 | 7.02 | 12.5 |
55 | 17 | 17 | 20.02 | 21.33 | 9.77 | 7.94 | 8.42 | 13.18 |
56 | 18 | 18 | 25.14 | 20.5 | 9.64 | 5.34 | 7.76 | 11.78 |
57 | 19 | 19 | 24.04 | 26.32 | 8.76 | 5.14 | 5.28 | 12.04 |
58 | 20 | 20 | 24.41 | 26.01 | 10.47 | 5.94 | 6.3 | 11.48 |
59 | 21 | 21 | 26.7 | 27.46 | 10.4 | 6.6 | 7.3 | 14.3 |
60 | 22 | 22 | 31.23 | 29.47 | 9.29 | 4.74 | 5.8 | 14.1 |
61 | 23 | 23 | 28.44 | 31.32 | 11.15 | 5.92 | 6.04 | 12.72 |
62 | 24 | 24 | 36.02 | 26.19 | 12.54 | 4.8 | 7.98 | 11.86 |
63 | 25 | 25 | 30.85 | 34.65 | 11.87 | 6.48 | 6.46 | 14.24 |
64 | 26 | 26 | 30.38 | 39.32 | 11.74 | 6.14 | 5.18 | 13.42 |
65 | 27 | 27 | 30.89 | 33.44 | 16.39 | 7.8 | 8.12 | 11.74 |
66 | 28 | 28 | 37.18 | 35.69 | 13.64 | 6.22 | 7.46 | 14.46 |
67 | 29 | 29 | 33.98 | 39.15 | 15.17 | 7.36 | 7.12 | 13.58 |
68 | 30 | 30 | 45.32 | 33.56 | 15.04 | 4.94 | 8.04 | 12.92 |
69 | 31 | 31 | 46.96 | 34.94 | 15.33 | 4.92 | 7.96 | 13.12 |
70 | 32 | 32 | 40.86 | 38.95 | 17.38 | 6.7 | 8.1 | 13.08 |
71 | 33 | 33 | 38.63 | 40.91 | 19.44 | 7.34 | 7.84 | 11.76 |
72 | 34 | 34 | 46.97 | 42.47 | 16.25 | 5.3 | 6.82 | 13.2 |
73 | 35 | 35 | 44.88 | 41.35 | 19.72 | 7.12 | 8.96 | 13.38 |
74 | 36 | 36 | 50.07 | 46.69 | 16.23 | 5.4 | 6.7 | 14.52 |
75 | 37 | 37 | 52.8 | 44.31 | 18.03 | 4.5 | 6.32 | 11.38 |
76 | 38 | 38 | 42.73 | 48.65 | 22.5 | 7.36 | 7.22 | 11.18 |
77 | 39 | 39 | 57.37 | 44.06 | 19.88 | 4.58 | 7.14 | 11.38 |
78 | 40 | 40 | 46.79 | 52.54 | 21.76 | 7.02 | 7 | 12.34 |
79 | 15 | 15 | 10.77 | 19.18 | 16.46 | 13.7 | 7.94 | 5.94 |
80 | 16 | 16 | 9.92 | 28.94 | 13.11 | 14.92 | 4.84 | 7.68 |
81 | 17 | 17 | 11.9 | 25.13 | 15.58 | 14.34 | 6.8 | 7.46 |
82 | 18 | 18 | 13.66 | 25.33 | 15.75 | 12.08 | 6.68 | 7.3 |
83 | 19 | 19 | 12.2 | 35.11 | 14.38 | 13.66 | 4.5 | 8.04 |
84 | 20 | 20 | 13.11 | 31.08 | 18.76 | 14.64 | 6.06 | 6.86 |
85 | 21 | 21 | 13.04 | 34.56 | 19.64 | 14.32 | 5.2 | 6.32 |
86 | 22 | 22 | 16.28 | 29.6 | 21.36 | 11.6 | 6.56 | 6.02 |
87 | 23 | 23 | 13.45 | 45.3 | 18.28 | 14.82 | 4.06 | 7.38 |
88 | 24 | 24 | 14.34 | 40.82 | 22.68 | 13.06 | 4.36 | 5.44 |
89 | 25 | 25 | 16.3 | 45.97 | 18.62 | 14.34 | 4.84 | 8.76 |
90 | 26 | 26 | 17.54 | 46.8 | 19 | 11.94 | 4.3 | 7.76 |
91 | 27 | 27 | 17.47 | 49.12 | 20.63 | 14.64 | 4.96 | 8.6 |
92 | 28 | 28 | 16.95 | 56.01 | 20.71 | 14.92 | 4.18 | 8.42 |
93 | 29 | 29 | 19.14 | 43.05 | 28.8 | 14.4 | 6.34 | 6.36 |
94 | 30 | 30 | 17.74 | 50.3 | 29.43 | 13.72 | 4.6 | 5.4 |
95 | 31 | 31 | 24.27 | 44.79 | 24.99 | 12.2 | 6.78 | 8.42 |
96 | 32 | 32 | 23.24 | 42.44 | 32.65 | 13.58 | 7.64 | 6.5 |
97 | 33 | 33 | 23.06 | 57.19 | 24.17 | 12.28 | 4.82 | 8.3 |
98 | 34 | 34 | 24.11 | 46.59 | 34.2 | 11.66 | 6.14 | 5.52 |
99 | 35 | 35 | 22.94 | 50.75 | 36.39 | 12.96 | 5.82 | 5.38 |
100 | 36 | 36 | 26.93 | 51.25 | 31.64 | 13.88 | 7.44 | 8.2 |
101 | 37 | 37 | 28.29 | 48.99 | 35.09 | 12.12 | 7.26 | 6.72 |
102 | 38 | 38 | 28.64 | 51.97 | 35.04 | 11.64 | 6.6 | 6.56 |
103 | 39 | 39 | 24.09 | 71.47 | 31.57 | 14.28 | 4.54 | 7.42 |
104 | 40 | 40 | 26.22 | 68.71 | 32.49 | 12.5 | 4.6 | 6.94 |
105 | 15 | 15 | 17.97 | 13.59 | 13.72 | 10.62 | 16.86 | 10.42 |
106 | 16 | 16 | 18.81 | 15.05 | 14.13 | 11 | 16.34 | 11 |
107 | 17 | 17 | 22.64 | 15.76 | 13.07 | 7.94 | 13.9 | 10.82 |
108 | 18 | 18 | 23.97 | 16.44 | 14.16 | 8.82 | 15.7 | 11.7 |
109 | 19 | 19 | 23.25 | 17.63 | 16.28 | 8.78 | 13.9 | 9.54 |
110 | 20 | 20 | 23.24 | 18.65 | 18.2 | 10 | 14.8 | 9.52 |
111 | 21 | 21 | 30.96 | 17.24 | 17.18 | 7.34 | 16.7 | 10.48 |
112 | 22 | 22 | 32.61 | 19.75 | 15.55 | 7.16 | 14.76 | 12.22 |
113 | 23 | 23 | 33.75 | 20.17 | 17.06 | 7.48 | 15.66 | 11.92 |
114 | 24 | 24 | 29.06 | 22.57 | 20.41 | 10.4 | 16 | 11.26 |
115 | 25 | 25 | 33.53 | 21.18 | 21.96 | 8 | 15.7 | 9.4 |
116 | 26 | 26 | 30.8 | 24.69 | 22.41 | 9.32 | 13.82 | 9.68 |
117 | 27 | 27 | 32.91 | 26.01 | 21.92 | 10.26 | 15.46 | 11.82 |
118 | 28 | 28 | 34.47 | 25.47 | 24.54 | 9.82 | 16.02 | 10.46 |
119 | 29 | 29 | 41.08 | 23.87 | 24.86 | 7.8 | 16.88 | 10.06 |
120 | 30 | 30 | 41.61 | 25.83 | 24.59 | 7.18 | 14.38 | 9.52 |
121 | 31 | 31 | 36.91 | 31.84 | 23.52 | 9.72 | 13.22 | 11.8 |
122 | 32 | 32 | 35.74 | 31.48 | 28.22 | 9.84 | 13.06 | 9.28 |
123 | 33 | 33 | 51.73 | 27.97 | 23.79 | 7.14 | 16.82 | 12.72 |
124 | 34 | 34 | 43.16 | 32.06 | 27.07 | 10.24 | 16.6 | 12.66 |
125 | 35 | 35 | 50.41 | 29.37 | 28.49 | 7.34 | 15.84 | 10.26 |
126 | 36 | 36 | 45.41 | 33.08 | 30.09 | 8.16 | 13.54 | 9.46 |
127 | 37 | 37 | 48.37 | 32.92 | 31.07 | 8.3 | 14.92 | 9.98 |
128 | 38 | 38 | 50.76 | 31.64 | 34.51 | 8.5 | 16.94 | 9.56 |
129 | 39 | 39 | 50.31 | 36.09 | 31.31 | 9.2 | 15.54 | 11.48 |
130 | 40 | 40 | 57.92 | 36.04 | 28.94 | 7.18 | 14.34 | 11.6 |
131 | 15 | 15 | 15.94 | 20.18 | 8.9 | 9.68 | 8.38 | 13.72 |
132 | 16 | 16 | 16.94 | 21.56 | 9.51 | 9.9 | 8.52 | 13.94 |
133 | 17 | 17 | 16.27 | 24.31 | 10.59 | 12.74 | 9.08 | 15.08 |
134 | 18 | 18 | 21.04 | 23.36 | 9.97 | 9.1 | 9.2 | 15.66 |
135 | 19 | 19 | 19.16 | 28.88 | 10.2 | 10.92 | 7.7 | 16.38 |
136 | 20 | 20 | 23.08 | 26.05 | 11.19 | 9 | 8.92 | 15.06 |
137 | 21 | 21 | 20.56 | 30.44 | 12.48 | 12.88 | 9.28 | 16.56 |
138 | 22 | 22 | 22.13 | 32.08 | 12.53 | 10.78 | 7.96 | 15.04 |
139 | 23 | 23 | 21.83 | 33.53 | 14.11 | 12.38 | 8.54 | 14.78 |
140 | 24 | 24 | 22.04 | 38.31 | 13.59 | 12.88 | 7.68 | 16.24 |
141 | 25 | 25 | 26.49 | 36.11 | 13.51 | 9.98 | 7.92 | 15.74 |
142 | 26 | 26 | 24.74 | 38.63 | 15.49 | 11.56 | 7.82 | 14.32 |
143 | 27 | 27 | 29.02 | 33.64 | 17.58 | 10.68 | 10.26 | 13.76 |
144 | 28 | 28 | 27.93 | 42.5 | 15.27 | 10.58 | 7.38 | 15.38 |
145 | 29 | 29 | 35.03 | 34.08 | 17.71 | 9.2 | 10.86 | 14.66 |
146 | 30 | 30 | 31.56 | 43.19 | 16.43 | 10.3 | 8.14 | 15.86 |
147 | 31 | 31 | 31.18 | 45.51 | 17.5 | 9.72 | 7.12 | 13.7 |
148 | 32 | 32 | 32.9 | 42.88 | 19.91 | 12.76 | 10.68 | 16.46 |
149 | 33 | 33 | 37.71 | 41.51 | 19.62 | 9.74 | 9.94 | 15 |
150 | 34 | 34 | 38.73 | 43.23 | 19.99 | 9.58 | 9.62 | 14.9 |
151 | 35 | 35 | 38.18 | 48.6 | 19.23 | 9.46 | 8.14 | 15.14 |
152 | 36 | 36 | 38.24 | 50.12 | 20.38 | 10.42 | 8.66 | 15.6 |
153 | 37 | 37 | 43.97 | 46.96 | 20.7 | 9.72 | 10.28 | 16.84 |
154 | 38 | 38 | 37.15 | 51.4 | 24.9 | 12.64 | 9.86 | 14.46 |
155 | 39 | 39 | 42.8 | 47.04 | 25.91 | 10.5 | 10.74 | 13.54 |
156 | 40 | 40 | 39.48 | 60.68 | 22.12 | 11.2 | 7.72 | 15.82 |
157 | 15 | 15 | 13.19 | 16.79 | 15.06 | 13.88 | 11.94 | 8.48 |
158 | 16 | 16 | 14.21 | 18.04 | 15.64 | 13.88 | 11.98 | 8.86 |
159 | 17 | 17 | 12.81 | 21.5 | 17.67 | 15.74 | 9.78 | 7.7 |
160 | 18 | 18 | 15.17 | 21.34 | 17.57 | 13.18 | 10.08 | 7.92 |
161 | 19 | 19 | 14.84 | 23.05 | 19.98 | 14.9 | 10.14 | 7.5 |
162 | 20 | 20 | 17.49 | 23.83 | 18.37 | 15.64 | 12.42 | 10.54 |
163 | 21 | 21 | 17.95 | 24.87 | 20.1 | 13.3 | 10.36 | 8.32 |
164 | 22 | 22 | 19.84 | 22.99 | 23.75 | 13.42 | 12.9 | 7.76 |
165 | 23 | 23 | 18.69 | 29.4 | 21.07 | 16.22 | 10.88 | 10.06 |
166 | 24 | 24 | 19.71 | 28.75 | 23.91 | 14.02 | 10.28 | 7.98 |
167 | 25 | 25 | 21.45 | 31.23 | 21.94 | 14.78 | 10.86 | 10.28 |
168 | 26 | 26 | 20.72 | 35.41 | 22.28 | 16.44 | 10 | 10.78 |
169 | 27 | 27 | 21.98 | 31.98 | 27.72 | 15.34 | 11.28 | 8.34 |
170 | 28 | 28 | 25.72 | 32.49 | 24.99 | 14.7 | 12.76 | 10.86 |
171 | 29 | 29 | 24.65 | 34.41 | 27.91 | 15.52 | 11.98 | 9.58 |
172 | 30 | 30 | 23.11 | 36.5 | 32.04 | 16.78 | 11.2 | 8.16 |
173 | 31 | 31 | 26.39 | 35.69 | 31.19 | 14.18 | 11.36 | 8.32 |
174 | 32 | 32 | 24.61 | 38.07 | 35.49 | 15.12 | 10.34 | 7.02 |
175 | 33 | 33 | 27.35 | 43.54 | 28.04 | 14.94 | 9.88 | 10.36 |
176 | 34 | 34 | 30.07 | 41.48 | 29.65 | 14.82 | 11.6 | 10.76 |
177 | 35 | 35 | 28.82 | 45.18 | 31 | 16.72 | 11.26 | 10.96 |
178 | 36 | 36 | 27.96 | 44.97 | 36.47 | 15.58 | 10.18 | 8.14 |
179 | 37 | 37 | 28.48 | 48.95 | 34.78 | 16.08 | 9.72 | 9.08 |
180 | 38 | 38 | 30.2 | 52.07 | 32.39 | 16.14 | 9.72 | 10.62 |
181 | 39 | 39 | 35.81 | 44.25 | 36.03 | 13.76 | 12.26 | 9.76 |
182 | 40 | 40 | 32.48 | 46.91 | 41.87 | 16.8 | 12.46 | 8.9 |
183 | 15 | 15 | 16.37 | 18.05 | 10.08 | 10.7 | 10.9 | 13.52 |
184 | 16 | 16 | 15.12 | 20.55 | 11.81 | 12.98 | 10.34 | 12.4 |
185 | 17 | 17 | 16.64 | 19.27 | 14.4 | 12.4 | 11.92 | 10.5 |
186 | 18 | 18 | 18.36 | 21.37 | 13.46 | 12.56 | 12 | 12.92 |
187 | 19 | 19 | 18.38 | 21.57 | 16.32 | 13.78 | 13.04 | 11.32 |
188 | 20 | 20 | 19.83 | 23.23 | 16.05 | 13.58 | 12.88 | 12.44 |
189 | 21 | 21 | 21.18 | 22.21 | 18.99 | 12.66 | 13.68 | 10.28 |
190 | 22 | 22 | 24.68 | 24.38 | 16.08 | 11.54 | 13.38 | 13.64 |
191 | 23 | 23 | 21.74 | 26.59 | 19.83 | 12.64 | 11.4 | 10.06 |
192 | 24 | 24 | 26.44 | 27.61 | 17 | 10.42 | 11.32 | 12.52 |
193 | 25 | 25 | 23.59 | 28.98 | 21.53 | 13 | 11.66 | 10.34 |
194 | 26 | 26 | 25.78 | 30.69 | 20.37 | 12.48 | 11.62 | 11.76 |
195 | 27 | 27 | 25.76 | 33.14 | 21.02 | 13.86 | 11.78 | 12.58 |
196 | 28 | 28 | 31.87 | 30.19 | 20.93 | 11.18 | 13.62 | 13.1 |
197 | 29 | 29 | 30.22 | 32.2 | 23.29 | 12.88 | 13.66 | 12.5 |
198 | 30 | 30 | 32.95 | 31.36 | 24.63 | 10.5 | 12.72 | 10.56 |
199 | 31 | 31 | 29.28 | 34.35 | 28.56 | 14 | 13.26 | 10.3 |
200 | 32 | 32 | 29.9 | 40.44 | 24.55 | 12.86 | 10.3 | 11.58 |
201 | 33 | 33 | 33.26 | 39.62 | 24.66 | 13.14 | 12.22 | 13.34 |
202 | 34 | 34 | 35.87 | 38.36 | 26.24 | 13.2 | 13.94 | 13.62 |
203 | 35 | 35 | 41.35 | 37.04 | 25.63 | 10.16 | 13.22 | 12.74 |
204 | 36 | 36 | 35.32 | 43.07 | 28.03 | 13.48 | 12.2 | 12.64 |
205 | 37 | 37 | 35.51 | 42.45 | 31.62 | 13.58 | 12.58 | 11.12 |
206 | 38 | 38 | 39.13 | 44.21 | 28.92 | 10.14 | 10.04 | 10.34 |
207 | 39 | 39 | 39.08 | 43.15 | 33.21 | 12.9 | 13.12 | 11.16 |
208 | 40 | 40 | 41.78 | 43.86 | 32.65 | 12.34 | 13.32 | 11.78 |
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