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
Cost Functions:
Cobb-Douglas Cost
| Normalized Quadratic Cost
| Translog Cost
| Diewert Cost
| Generalized CES-Translog Cost
| Generalized CES-Diewert Cost
| References and Links
Duality: Production / Cost Functions:
Cobb-Douglas Duality
| CES Duality
| Theory of Duality
| Translog Duality - CES
| Translog Duality - Generalized CES
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 | 0.000598 | 0 | 1.599 | lnL | 0.349808 | 0 | 2872.392 | lnK | 0.399915 | 0 | 3023.226 | lnM | 0.249914 | 0 | 2215.315 | lnLlnL | -0.020024 | 0 | -911.483 | lnKlnK | -0.021114 | 0 | -931.247 | lnMlnM | -0.017203 | 0 | -794.442 | lnLlnK | 0.024033 | 0 | 668.591 | lnLlnM | 0.016118 | 0 | 493.625 | lnKlnM | 0.018242 | 0 | 514.389 |
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 | 13.63 | 17.05 | 14.03 | 9.68 | 8.5 | 6.68 |
2 | 16 | 16 | 15.16 | 19 | 13.21 | 9.34 | 8.18 | 7.84 |
3 | 17 | 17 | 14.59 | 21.59 | 14.55 | 9.1 | 6.56 | 6.52 |
4 | 18 | 18 | 20.5 | 22.78 | 10.66 | 6.16 | 6.22 | 9.5 |
5 | 19 | 19 | 22.48 | 18.5 | 15.77 | 6.9 | 9.92 | 7.48 |
6 | 20 | 20 | 21.26 | 22.26 | 15.58 | 6.04 | 6.54 | 6.22 |
7 | 21 | 21 | 23.09 | 24.33 | 14.75 | 7.5 | 8.06 | 9.08 |
8 | 22 | 22 | 24.74 | 24.4 | 16.02 | 8.16 | 9.48 | 9.72 |
9 | 23 | 23 | 19.85 | 31.12 | 17.79 | 9.92 | 6.68 | 8.06 |
10 | 24 | 24 | 25.1 | 28.42 | 17.44 | 8.08 | 7.98 | 8.86 |
11 | 25 | 25 | 25.42 | 30.04 | 18.45 | 9.56 | 8.98 | 9.96 |
12 | 26 | 26 | 23.75 | 31.51 | 21.89 | 9.64 | 7.9 | 7.58 |
13 | 27 | 27 | 32.3 | 30.39 | 17.77 | 6.06 | 7.44 | 8.74 |
14 | 28 | 28 | 28.63 | 31.6 | 22.52 | 9.14 | 9.3 | 8.66 |
15 | 29 | 29 | 25.73 | 36.19 | 24.34 | 7.92 | 6.06 | 6.04 |
16 | 30 | 30 | 29.75 | 34.02 | 24.96 | 9.2 | 8.98 | 8.08 |
17 | 31 | 31 | 33.29 | 34.02 | 24.35 | 8.76 | 9.76 | 9.04 |
18 | 32 | 32 | 35.94 | 35.75 | 23.08 | 7.98 | 9.18 | 9.6 |
19 | 33 | 33 | 31.29 | 45.38 | 21.99 | 9.08 | 6.7 | 9.82 |
20 | 34 | 34 | 33.71 | 37.63 | 29.36 | 9.16 | 9.2 | 7.7 |
21 | 35 | 35 | 35.71 | 40.98 | 26.71 | 7.88 | 7.66 | 7.92 |
22 | 36 | 36 | 29.7 | 49.26 | 29.18 | 9.68 | 6.1 | 7.06 |
23 | 37 | 37 | 36.89 | 41.13 | 31.49 | 7.44 | 7.48 | 6.4 |
24 | 38 | 38 | 41.66 | 44.64 | 26.27 | 7.08 | 7.46 | 8.7 |
25 | 39 | 39 | 34.66 | 50.87 | 30.58 | 9.4 | 6.84 | 7.78 |
26 | 40 | 40 | 39.26 | 50.15 | 29.07 | 8.1 | 6.94 | 8.24 |
27 | 15 | 15 | 16.54 | 12.36 | 17.99 | 6.92 | 11.14 | 4.48 |
28 | 16 | 16 | 18 | 12.43 | 20.65 | 7.8 | 13.78 | 4.74 |
29 | 17 | 17 | 20.1 | 12.89 | 21.34 | 7.66 | 14.76 | 5.1 |
30 | 18 | 18 | 22.52 | 14.47 | 18.9 | 6.06 | 11.66 | 5.32 |
31 | 19 | 19 | 26.93 | 12.64 | 23.36 | 5.14 | 14.3 | 4.34 |
32 | 20 | 20 | 25.44 | 17.12 | 18.51 | 7.28 | 13.26 | 7.56 |
33 | 21 | 21 | 25.1 | 15.16 | 28.32 | 6.68 | 13.82 | 4.14 |
34 | 22 | 22 | 24.65 | 19.13 | 23.57 | 8.74 | 13.46 | 6.58 |
35 | 23 | 23 | 24.94 | 19.26 | 27.5 | 7.1 | 11 | 4.52 |
36 | 24 | 24 | 32.47 | 17.11 | 27.81 | 5.88 | 14.28 | 5.04 |
37 | 25 | 25 | 35.77 | 19.41 | 23.27 | 6.18 | 14.5 | 7.32 |
38 | 26 | 26 | 32.36 | 23.76 | 22.3 | 7.12 | 11.7 | 7.88 |
39 | 27 | 27 | 34.41 | 19.8 | 32.34 | 6.74 | 14.76 | 5.18 |
40 | 28 | 28 | 35.78 | 22.37 | 28.87 | 7.46 | 14.82 | 6.86 |
41 | 29 | 29 | 36.79 | 21.31 | 34.82 | 5.8 | 12.6 | 4.42 |
42 | 30 | 30 | 42.43 | 23.19 | 28.55 | 6.08 | 14.14 | 6.92 |
43 | 31 | 31 | 31.9 | 26.23 | 39.26 | 8.76 | 12.6 | 4.9 |
44 | 32 | 32 | 41.12 | 25.49 | 32.9 | 7 | 14.04 | 6.5 |
45 | 33 | 33 | 36.83 | 26.82 | 39.87 | 8.76 | 14.54 | 5.7 |
46 | 34 | 34 | 48.18 | 28.97 | 27.57 | 5.56 | 11.56 | 7.66 |
47 | 35 | 35 | 42.1 | 30.26 | 34.35 | 7.12 | 12 | 6.46 |
48 | 36 | 36 | 43.9 | 32.66 | 32.11 | 6.92 | 11.2 | 7.14 |
49 | 37 | 37 | 40.04 | 34.11 | 37.79 | 8.32 | 11.48 | 6.36 |
50 | 38 | 38 | 47.11 | 29.08 | 43.93 | 6.06 | 12.22 | 4.7 |
51 | 39 | 39 | 41.98 | 33.79 | 44.48 | 8.96 | 13.22 | 5.98 |
52 | 40 | 40 | 48.87 | 30.59 | 47.24 | 6.08 | 12.06 | 4.52 |
53 | 15 | 15 | 18.06 | 21.22 | 7.14 | 5.86 | 5.54 | 12.48 |
54 | 16 | 16 | 22.93 | 18.34 | 8.24 | 5.96 | 8.86 | 14.2 |
55 | 17 | 17 | 23.27 | 19.32 | 9.35 | 5.96 | 8.48 | 12.44 |
56 | 18 | 18 | 22.55 | 23.47 | 9.1 | 5.76 | 6.28 | 11.96 |
57 | 19 | 19 | 24.22 | 25.05 | 9.27 | 5.9 | 6.48 | 13.04 |
58 | 20 | 20 | 30.65 | 25.28 | 8.36 | 4.52 | 6.48 | 14.88 |
59 | 21 | 21 | 25.41 | 24.59 | 12.87 | 7.02 | 8.34 | 11.16 |
60 | 22 | 22 | 36.36 | 22.06 | 11.6 | 4.22 | 8.68 | 11.56 |
61 | 23 | 23 | 29.77 | 32.32 | 10.14 | 5.34 | 5.54 | 13.54 |
62 | 24 | 24 | 26.78 | 32.21 | 13.44 | 7.5 | 6.9 | 12.06 |
63 | 25 | 25 | 35.64 | 33.82 | 10.37 | 4.54 | 5.52 | 13.86 |
64 | 26 | 26 | 40.71 | 27.91 | 13.24 | 4.4 | 7.84 | 11.78 |
65 | 27 | 27 | 32.49 | 39.38 | 12.35 | 6.1 | 5.56 | 13.6 |
66 | 28 | 28 | 40.07 | 32.94 | 13.93 | 6.06 | 8.72 | 15 |
67 | 29 | 29 | 31.04 | 40.23 | 16.35 | 7.48 | 6.3 | 11.36 |
68 | 30 | 30 | 40.62 | 40 | 13.45 | 5.62 | 6.54 | 14.74 |
69 | 31 | 31 | 54.06 | 33.27 | 14 | 4.26 | 8.62 | 14.92 |
70 | 32 | 32 | 56.82 | 33.93 | 14.4 | 4.16 | 8.72 | 14.94 |
71 | 33 | 33 | 55.78 | 33.69 | 16.54 | 4.1 | 8.48 | 12.24 |
72 | 34 | 34 | 37.01 | 48.83 | 17.91 | 7.76 | 6.4 | 13.02 |
73 | 35 | 35 | 44.9 | 44.06 | 18.06 | 7 | 8.18 | 14.6 |
74 | 36 | 36 | 47.12 | 44.42 | 18.64 | 6.76 | 8.28 | 14.38 |
75 | 37 | 37 | 50.62 | 44.93 | 18.58 | 5.4 | 7.1 | 12.54 |
76 | 38 | 38 | 41.99 | 50.44 | 21.86 | 7.86 | 7.24 | 12.1 |
77 | 39 | 39 | 60.35 | 40.12 | 21.39 | 4.86 | 8.98 | 11.76 |
78 | 40 | 40 | 50.22 | 48.32 | 22.42 | 6.94 | 8.3 | 12.8 |
79 | 15 | 15 | 10.87 | 21.99 | 13.21 | 12.5 | 6.24 | 7.1 |
80 | 16 | 16 | 9.93 | 29.21 | 12.94 | 13.96 | 4.48 | 7.3 |
81 | 17 | 17 | 11.03 | 32.13 | 12.28 | 12.86 | 4.18 | 8.1 |
82 | 18 | 18 | 14.33 | 24.68 | 15.29 | 11.22 | 6.76 | 7.42 |
83 | 19 | 19 | 15.44 | 26 | 15.72 | 12.44 | 7.7 | 8.7 |
84 | 20 | 20 | 13.57 | 34.58 | 15.32 | 12.62 | 4.8 | 7.82 |
85 | 21 | 21 | 16.57 | 31.99 | 15.52 | 11.04 | 5.82 | 8.52 |
86 | 22 | 22 | 16.32 | 31.79 | 19.13 | 11.54 | 6.02 | 6.84 |
87 | 23 | 23 | 15.94 | 35.3 | 20.22 | 12.26 | 5.5 | 6.62 |
88 | 24 | 24 | 17.92 | 32.97 | 22.29 | 11.22 | 6.26 | 6.2 |
89 | 25 | 25 | 19.33 | 31.63 | 25 | 11.56 | 7.4 | 6.1 |
90 | 26 | 26 | 18.04 | 33.36 | 29.91 | 13.96 | 7.74 | 5.5 |
91 | 27 | 27 | 19.31 | 36.17 | 27.76 | 11.72 | 6.4 | 5.46 |
92 | 28 | 28 | 19.89 | 41.74 | 24.78 | 12.18 | 5.82 | 6.72 |
93 | 29 | 29 | 23.35 | 40.81 | 23.34 | 11.14 | 6.6 | 7.96 |
94 | 30 | 30 | 21 | 47.43 | 24.93 | 13.74 | 6.02 | 8.02 |
95 | 31 | 31 | 21.03 | 55.72 | 22.52 | 13.38 | 4.86 | 8.82 |
96 | 32 | 32 | 22.31 | 42.79 | 34.26 | 14.42 | 7.66 | 6.22 |
97 | 33 | 33 | 20.82 | 54.12 | 30.29 | 14.32 | 5.32 | 6.58 |
98 | 34 | 34 | 23.54 | 56.49 | 26.74 | 11.42 | 4.66 | 7.02 |
99 | 35 | 35 | 24.29 | 53.03 | 31.3 | 12.98 | 5.92 | 6.88 |
100 | 36 | 36 | 24.85 | 60.13 | 28.24 | 11.88 | 4.8 | 7.3 |
101 | 37 | 37 | 26.94 | 59.08 | 28.64 | 13.18 | 5.98 | 8.76 |
102 | 38 | 38 | 27.64 | 62.9 | 28.01 | 12.2 | 5.3 | 8.58 |
103 | 39 | 39 | 24 | 68.23 | 33.89 | 14.96 | 5 | 7.12 |
104 | 40 | 40 | 30.38 | 58.04 | 33.44 | 11.88 | 6.34 | 7.58 |
105 | 15 | 15 | 17.61 | 14.23 | 13.1 | 10.64 | 15.62 | 10.76 |
106 | 16 | 16 | 20.78 | 15.08 | 12.39 | 9.42 | 15.7 | 12.36 |
107 | 17 | 17 | 21.53 | 17.13 | 12.26 | 9.2 | 13.76 | 12.74 |
108 | 18 | 18 | 24.35 | 16.31 | 14.05 | 8.86 | 16.22 | 12.08 |
109 | 19 | 19 | 22.22 | 18.46 | 16.07 | 9.64 | 13.7 | 10.08 |
110 | 20 | 20 | 28.59 | 19.13 | 13.42 | 7.44 | 13.64 | 12.94 |
111 | 21 | 21 | 30.04 | 18.65 | 15.78 | 8.06 | 16.14 | 12.28 |
112 | 22 | 22 | 26.82 | 21.37 | 17.63 | 9.98 | 14.9 | 11.68 |
113 | 23 | 23 | 32.65 | 19.17 | 19.27 | 7.24 | 15.48 | 9.62 |
114 | 24 | 24 | 29.2 | 22.55 | 20.3 | 9.8 | 15.18 | 10.74 |
115 | 25 | 25 | 29.67 | 25.54 | 19.2 | 10.4 | 14.18 | 12.4 |
116 | 26 | 26 | 36.9 | 22.15 | 21.05 | 7.16 | 14.92 | 9.9 |
117 | 27 | 27 | 35.1 | 22.54 | 25.29 | 8.7 | 16.74 | 9.14 |
118 | 28 | 28 | 40.7 | 25.71 | 19.58 | 7.46 | 14.64 | 12.6 |
119 | 29 | 29 | 35.18 | 27.69 | 24.02 | 10.22 | 15.48 | 11.44 |
120 | 30 | 30 | 34.33 | 27.32 | 28.95 | 10.38 | 15.52 | 9.06 |
121 | 31 | 31 | 38.06 | 26.97 | 29.31 | 9.8 | 16.8 | 9.52 |
122 | 32 | 32 | 47.02 | 29.93 | 21.48 | 7.24 | 14.08 | 13 |
123 | 33 | 33 | 40.24 | 30.78 | 28.17 | 8.54 | 13.38 | 9.28 |
124 | 34 | 34 | 42.26 | 30.79 | 29.65 | 9.56 | 15.86 | 10.36 |
125 | 35 | 35 | 44.08 | 31.98 | 29.58 | 9.86 | 16.44 | 11.26 |
126 | 36 | 36 | 42.32 | 35.1 | 30.08 | 10.7 | 15.24 | 11.42 |
127 | 37 | 37 | 42.69 | 37.57 | 29.75 | 10.36 | 13.76 | 11.32 |
128 | 38 | 38 | 48.89 | 34.7 | 31.27 | 9.2 | 15.74 | 11.12 |
129 | 39 | 39 | 48.63 | 37.52 | 30.8 | 8.72 | 13.52 | 10.66 |
130 | 40 | 40 | 53.6 | 37.3 | 30.24 | 8.34 | 14.6 | 11.68 |
131 | 15 | 15 | 15.54 | 20.44 | 9.03 | 12.06 | 9.98 | 16.32 |
132 | 16 | 16 | 17 | 20.79 | 9.96 | 11.84 | 10.68 | 15.86 |
133 | 17 | 17 | 17.36 | 23.89 | 9.99 | 11.52 | 9.04 | 15.76 |
134 | 18 | 18 | 16.84 | 24.35 | 12.49 | 12.88 | 9.54 | 13.08 |
135 | 19 | 19 | 22.58 | 21.85 | 12.22 | 9.18 | 10.9 | 13.5 |
136 | 20 | 20 | 21.33 | 24.85 | 13.21 | 10.62 | 10.14 | 13.32 |
137 | 21 | 21 | 21.86 | 28.35 | 12.73 | 9.72 | 8.18 | 13.12 |
138 | 22 | 22 | 24.55 | 29.11 | 12.56 | 10.16 | 9.5 | 15.96 |
139 | 23 | 23 | 25.16 | 29.05 | 14.37 | 10.84 | 10.46 | 14.96 |
140 | 24 | 24 | 24.68 | 32.42 | 14.76 | 12.76 | 10.58 | 16.68 |
141 | 25 | 25 | 25.87 | 33.98 | 15.12 | 10.42 | 8.64 | 14 |
142 | 26 | 26 | 28.9 | 34.9 | 14.62 | 10.64 | 9.74 | 16.94 |
143 | 27 | 27 | 26.09 | 37.98 | 17 | 12.52 | 9.2 | 14.8 |
144 | 28 | 28 | 26.04 | 39.69 | 18.34 | 12.7 | 8.84 | 13.7 |
145 | 29 | 29 | 30.58 | 37.67 | 18.24 | 12.3 | 11 | 16.14 |
146 | 30 | 30 | 34.08 | 40.4 | 16.36 | 9.94 | 9.3 | 16.84 |
147 | 31 | 31 | 29.8 | 48.48 | 17.02 | 11.6 | 7.48 | 16.02 |
148 | 32 | 32 | 29.92 | 43.94 | 21.76 | 12.9 | 9.38 | 13.4 |
149 | 33 | 33 | 35.16 | 44.74 | 19.31 | 11.62 | 10 | 16.8 |
150 | 34 | 34 | 34.77 | 49.62 | 18.94 | 9.44 | 7.1 | 13.78 |
151 | 35 | 35 | 40.11 | 45.32 | 19.92 | 9.88 | 9.78 | 16.08 |
152 | 36 | 36 | 34.05 | 51.2 | 22.96 | 11.68 | 8.26 | 13.26 |
153 | 37 | 37 | 38.61 | 46.64 | 24.62 | 10.82 | 9.9 | 13.12 |
154 | 38 | 38 | 47.17 | 45.92 | 21.58 | 9.24 | 10.9 | 16.56 |
155 | 39 | 39 | 43.72 | 49.79 | 23.27 | 9.4 | 9.22 | 14.1 |
156 | 40 | 40 | 41.07 | 53.69 | 24.87 | 12.4 | 10.34 | 15.98 |
157 | 15 | 15 | 11.28 | 17.84 | 17.21 | 16.2 | 10.8 | 7.04 |
158 | 16 | 16 | 13.05 | 19.37 | 15.83 | 16.52 | 11.86 | 9.4 |
159 | 17 | 17 | 15.16 | 19.5 | 16.09 | 14.14 | 12.02 | 9.42 |
160 | 18 | 18 | 15.36 | 20.45 | 18.42 | 14.7 | 12 | 8.48 |
161 | 19 | 19 | 15.86 | 25.04 | 16.01 | 14.38 | 9.6 | 10.16 |
162 | 20 | 20 | 15.78 | 24.03 | 21.02 | 15.18 | 10.58 | 7.74 |
163 | 21 | 21 | 17.65 | 26.35 | 18.85 | 14.1 | 10.06 | 9.32 |
164 | 22 | 22 | 17.19 | 26.44 | 23.45 | 16.78 | 11.56 | 8.32 |
165 | 23 | 23 | 19.49 | 27.7 | 21.73 | 16.36 | 12.36 | 10.28 |
166 | 24 | 24 | 19.41 | 31.27 | 21.5 | 13.86 | 9.04 | 8.78 |
167 | 25 | 25 | 21.2 | 33.52 | 20.09 | 13.62 | 9.08 | 10.36 |
168 | 26 | 26 | 22.34 | 32.43 | 22.84 | 14.6 | 10.76 | 10.16 |
169 | 27 | 27 | 23.16 | 34.53 | 22.9 | 14.78 | 10.56 | 10.7 |
170 | 28 | 28 | 22.1 | 33.77 | 29.24 | 14.44 | 10.02 | 7.42 |
171 | 29 | 29 | 24.84 | 36.43 | 25.3 | 15.02 | 10.94 | 10.5 |
172 | 30 | 30 | 24.21 | 36.98 | 29.32 | 15.96 | 11.08 | 9.1 |
173 | 31 | 31 | 28.8 | 37.38 | 25.69 | 13.44 | 11.3 | 10.98 |
174 | 32 | 32 | 26.87 | 35.07 | 35.5 | 14.96 | 12.5 | 7.7 |
175 | 33 | 33 | 24.4 | 46.01 | 30.41 | 16.98 | 9.2 | 9.36 |
176 | 34 | 34 | 28.12 | 41.33 | 32.79 | 13.52 | 9.82 | 8.06 |
177 | 35 | 35 | 31.35 | 44.68 | 28.03 | 13.3 | 10.02 | 10.84 |
178 | 36 | 36 | 30.42 | 38.12 | 41.84 | 14.42 | 12.64 | 7.08 |
179 | 37 | 37 | 28.3 | 44.55 | 40.61 | 16.06 | 10.76 | 7.5 |
180 | 38 | 38 | 32.26 | 48.81 | 32.47 | 14.9 | 10.46 | 10.56 |
181 | 39 | 39 | 32.09 | 45.9 | 39.83 | 15.2 | 11.4 | 8.42 |
182 | 40 | 40 | 33.07 | 47.66 | 39.79 | 13.02 | 9.68 | 7.48 |
183 | 15 | 15 | 14.77 | 17.53 | 12.04 | 11.76 | 10.98 | 10.68 |
184 | 16 | 16 | 16.31 | 17.8 | 13.19 | 13.48 | 13.9 | 12.36 |
185 | 17 | 17 | 17.08 | 20.51 | 12.67 | 12 | 11.06 | 12.18 |
186 | 18 | 18 | 16.9 | 23.2 | 13.33 | 13.74 | 10.82 | 12.98 |
187 | 19 | 19 | 22.5 | 20.34 | 13.64 | 10.32 | 13.28 | 13.28 |
188 | 20 | 20 | 19.91 | 25.52 | 13.9 | 12.42 | 10.6 | 13.54 |
189 | 21 | 21 | 20.99 | 24.09 | 16.97 | 13.54 | 13.16 | 12.42 |
190 | 22 | 22 | 21.08 | 25.76 | 18.26 | 11.92 | 10.76 | 10.08 |
191 | 23 | 23 | 26.6 | 23.02 | 18.85 | 10.1 | 13.68 | 10.82 |
192 | 24 | 24 | 24.96 | 26.54 | 19.45 | 10.48 | 11.14 | 10.04 |
193 | 25 | 25 | 24.11 | 30.64 | 19.22 | 13.04 | 11.24 | 12.16 |
194 | 26 | 26 | 23.03 | 32.43 | 21.89 | 13.56 | 10.36 | 10.28 |
195 | 27 | 27 | 26.63 | 32.59 | 20.61 | 12.12 | 10.92 | 11.7 |
196 | 28 | 28 | 28.89 | 31.16 | 22.71 | 13.16 | 13.76 | 12.48 |
197 | 29 | 29 | 29.28 | 33.69 | 22.71 | 13.54 | 13.12 | 13.04 |
198 | 30 | 30 | 31.25 | 33.27 | 24.16 | 10.34 | 10.98 | 10 |
199 | 31 | 31 | 36.56 | 33.32 | 22.24 | 10.64 | 13.56 | 13.64 |
200 | 32 | 32 | 32.55 | 39.05 | 23.07 | 12.92 | 11.92 | 13.84 |
201 | 33 | 33 | 34.59 | 37.31 | 25.59 | 13.12 | 13.72 | 13.36 |
202 | 34 | 34 | 32.59 | 41.84 | 26.2 | 11.74 | 10 | 10.84 |
203 | 35 | 35 | 35.82 | 41.83 | 25.8 | 13.02 | 12.4 | 13.68 |
204 | 36 | 36 | 37.7 | 40.53 | 28.14 | 12.92 | 13.56 | 13.02 |
205 | 37 | 37 | 38.25 | 44.65 | 26.55 | 12.7 | 12.1 | 13.94 |
206 | 38 | 38 | 36.07 | 46.31 | 30.11 | 12.02 | 10.24 | 10.62 |
207 | 39 | 39 | 36.05 | 49.05 | 30.58 | 13.98 | 11.12 | 12.12 |
208 | 40 | 40 | 39.84 | 44.88 | 33.61 | 12.4 | 12.32 | 10.82 |
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