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 | 0.000134 | 0 | 0.438 | lnL | 0.350152 | 0 | 3243.122 | lnK | 0.399963 | 0 | 3597.828 | lnM | 0.249799 | 0 | 2834.911 | lnLlnL | -0.020199 | 0 | -976.265 | lnKlnK | -0.021119 | 0 | -982.385 | lnMlnM | -0.01725 | 0 | -1068.893 | lnLlnK | 0.024098 | 0 | 686.887 | lnLlnM | 0.016306 | 0 | 628.026 | lnKlnM | 0.018177 | 0 | 635.475 |
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 | 14.91 | 19.2 | 10.41 | 7.54 | 6.4 | 8.22 |
2 | 16 | 16 | 14.38 | 18.03 | 15.4 | 9.68 | 8.48 | 6.38 |
3 | 17 | 17 | 16.62 | 19.14 | 14.58 | 9.96 | 9.64 | 8.3 |
4 | 18 | 18 | 20.98 | 18.7 | 13.79 | 6.94 | 9.08 | 8.12 |
5 | 19 | 19 | 18.77 | 21.55 | 15.89 | 8.4 | 8.16 | 7.3 |
6 | 20 | 20 | 19.28 | 26.56 | 13.7 | 9.36 | 7.34 | 10 |
7 | 21 | 21 | 21.89 | 26.05 | 14.31 | 7.88 | 7.34 | 9.28 |
8 | 22 | 22 | 22.51 | 22.84 | 20.08 | 8.42 | 9.46 | 6.88 |
9 | 23 | 23 | 21.86 | 28.29 | 17.95 | 8.08 | 6.82 | 7.28 |
10 | 24 | 24 | 22.02 | 33.01 | 16.7 | 9.38 | 6.66 | 9.28 |
11 | 25 | 25 | 25.69 | 26.61 | 21.84 | 8.28 | 9.08 | 7.16 |
12 | 26 | 26 | 26.7 | 33.92 | 16.82 | 7.12 | 6.14 | 8.76 |
13 | 27 | 27 | 31.29 | 29.28 | 19.55 | 6.1 | 7.54 | 7.58 |
14 | 28 | 28 | 30.12 | 31.73 | 20.92 | 6.42 | 6.9 | 7.04 |
15 | 29 | 29 | 32.57 | 31.51 | 21.79 | 8.08 | 9.6 | 9.26 |
16 | 30 | 30 | 31.07 | 32.56 | 25.15 | 8.1 | 8.76 | 7.42 |
17 | 31 | 31 | 39.55 | 31.04 | 22.37 | 6.46 | 9.82 | 9.02 |
18 | 32 | 32 | 34.35 | 35.45 | 24.8 | 6.72 | 7.4 | 7.04 |
19 | 33 | 33 | 41.61 | 33.94 | 23.22 | 6.54 | 9.5 | 9.28 |
20 | 34 | 34 | 31.06 | 45.7 | 24.6 | 9.62 | 6.98 | 9.04 |
21 | 35 | 35 | 37.82 | 42.37 | 23.6 | 6.88 | 6.88 | 8.56 |
22 | 36 | 36 | 41.11 | 39.46 | 26.14 | 8.02 | 9.62 | 9.76 |
23 | 37 | 37 | 34.14 | 49.17 | 26.84 | 10 | 7.44 | 9.48 |
24 | 38 | 38 | 34.06 | 42.86 | 36.68 | 9.38 | 8.18 | 6.14 |
25 | 39 | 39 | 39.89 | 41.2 | 34.66 | 8.78 | 9.66 | 7.4 |
26 | 40 | 40 | 45.59 | 47.11 | 26.21 | 6.22 | 6.84 | 8.52 |
27 | 15 | 15 | 20.16 | 11.49 | 15.52 | 5.02 | 11.12 | 4.88 |
28 | 16 | 16 | 18.89 | 14.67 | 14.65 | 8.24 | 12.68 | 7.94 |
29 | 17 | 17 | 20.87 | 14.49 | 16.62 | 8.18 | 14.36 | 7.64 |
30 | 18 | 18 | 20.18 | 15.41 | 19.79 | 8.7 | 13.66 | 6.36 |
31 | 19 | 19 | 27.33 | 14.95 | 17.19 | 6.1 | 14.18 | 7.52 |
32 | 20 | 20 | 23.65 | 14.75 | 26.34 | 6.96 | 13.86 | 4.38 |
33 | 21 | 21 | 24.15 | 19.09 | 20.19 | 7.46 | 11.24 | 6.58 |
34 | 22 | 22 | 24.9 | 17.16 | 27.97 | 8.38 | 14.84 | 5.22 |
35 | 23 | 23 | 29.46 | 19.91 | 20.71 | 6.16 | 11.16 | 6.66 |
36 | 24 | 24 | 29.23 | 17.45 | 31.08 | 6.62 | 13.88 | 4.4 |
37 | 25 | 25 | 34.06 | 18.51 | 26.89 | 6.02 | 14.1 | 5.68 |
38 | 26 | 26 | 37.42 | 20.52 | 23.39 | 5.3 | 12.28 | 6.58 |
39 | 27 | 27 | 40.59 | 22.81 | 20.61 | 5.02 | 11.3 | 7.96 |
40 | 28 | 28 | 34.89 | 23.28 | 27.94 | 7.48 | 13.76 | 6.94 |
41 | 29 | 29 | 38.27 | 22.2 | 30.77 | 6.52 | 14.14 | 6.02 |
42 | 30 | 30 | 40.1 | 20.81 | 37.09 | 5.16 | 12.76 | 4.04 |
43 | 31 | 31 | 39.04 | 23.34 | 36.06 | 6.86 | 14.36 | 5.38 |
44 | 32 | 32 | 41.56 | 22.45 | 40.36 | 6.14 | 14.48 | 4.54 |
45 | 33 | 33 | 36.32 | 26.81 | 40.68 | 7.2 | 11.76 | 4.5 |
46 | 34 | 34 | 41.73 | 27.61 | 36.03 | 6.36 | 11.82 | 5.4 |
47 | 35 | 35 | 49.85 | 28.24 | 30.78 | 6.16 | 13.74 | 7.76 |
48 | 36 | 36 | 49.85 | 26.52 | 38.22 | 5.88 | 14.12 | 5.74 |
49 | 37 | 37 | 52.11 | 27.22 | 38.49 | 5.96 | 14.62 | 6.08 |
50 | 38 | 38 | 46.47 | 27.65 | 48.9 | 6.66 | 14.02 | 4.48 |
51 | 39 | 39 | 50.24 | 30.69 | 40.81 | 6.38 | 13.02 | 5.82 |
52 | 40 | 40 | 48.6 | 32.57 | 42.77 | 6.36 | 11.64 | 5.28 |
53 | 15 | 15 | 18.26 | 19.5 | 7.88 | 6.9 | 7.3 | 13.24 |
54 | 16 | 16 | 23.65 | 19.36 | 7.38 | 5.2 | 7.52 | 14.62 |
55 | 17 | 17 | 27.34 | 20 | 7.41 | 4.24 | 7 | 14.06 |
56 | 18 | 18 | 21.8 | 25.34 | 8.56 | 5.64 | 5.4 | 12.1 |
57 | 19 | 19 | 24.22 | 24.32 | 9.65 | 7 | 7.96 | 14.76 |
58 | 20 | 20 | 31.12 | 25.46 | 8.15 | 4.02 | 5.82 | 13.9 |
59 | 21 | 21 | 23.38 | 30.9 | 10.42 | 6.34 | 5.22 | 11.72 |
60 | 22 | 22 | 34.07 | 27.35 | 9.29 | 4.5 | 6.66 | 14.82 |
61 | 23 | 23 | 30.91 | 33.57 | 9.25 | 4.82 | 5 | 14.24 |
62 | 24 | 24 | 31.14 | 28.45 | 13.27 | 6.2 | 7.88 | 12.08 |
63 | 25 | 25 | 28.62 | 34.99 | 12.81 | 7.58 | 6.84 | 13.94 |
64 | 26 | 26 | 34.78 | 34.03 | 12.12 | 4.52 | 5.3 | 11.16 |
65 | 27 | 27 | 40.88 | 28.52 | 14.63 | 4.88 | 8.52 | 11.68 |
66 | 28 | 28 | 32.27 | 42.12 | 12.95 | 6.32 | 5.28 | 13.22 |
67 | 29 | 29 | 46.17 | 35.58 | 12.09 | 4.34 | 6.74 | 15 |
68 | 30 | 30 | 38.48 | 34.84 | 17.31 | 6.26 | 8.04 | 11.44 |
69 | 31 | 31 | 45.21 | 33.14 | 17.25 | 5.32 | 8.76 | 11.8 |
70 | 32 | 32 | 37.42 | 42.62 | 17.09 | 7.14 | 7 | 12.82 |
71 | 33 | 33 | 40.96 | 41.43 | 17.77 | 7.36 | 8.3 | 14.04 |
72 | 34 | 34 | 45.45 | 46.97 | 14.77 | 5.02 | 5.52 | 13.46 |
73 | 35 | 35 | 53.46 | 42.95 | 15.27 | 4.68 | 6.92 | 14.6 |
74 | 36 | 36 | 43.22 | 47.93 | 18.63 | 6.68 | 6.76 | 12.84 |
75 | 37 | 37 | 43.19 | 46.61 | 21.38 | 7.58 | 7.92 | 12.38 |
76 | 38 | 38 | 42.4 | 48.85 | 22.58 | 7.98 | 7.72 | 11.96 |
77 | 39 | 39 | 53.7 | 45.57 | 20.5 | 6.42 | 8.9 | 14.24 |
78 | 40 | 40 | 46.14 | 56.44 | 20.1 | 7.74 | 6.98 | 14.7 |
79 | 15 | 15 | 11.16 | 22.38 | 12.41 | 13.1 | 6.6 | 8.26 |
80 | 16 | 16 | 10.81 | 25.68 | 13.7 | 14.92 | 6.16 | 8.06 |
81 | 17 | 17 | 13.33 | 21.43 | 16.75 | 11.14 | 7.28 | 6.08 |
82 | 18 | 18 | 11.45 | 25.7 | 20.04 | 14.22 | 6.28 | 5.26 |
83 | 19 | 19 | 13.52 | 30.32 | 15.21 | 12.9 | 5.7 | 8.02 |
84 | 20 | 20 | 13.43 | 25.82 | 23.96 | 14.38 | 7.62 | 5.2 |
85 | 21 | 21 | 17.16 | 27.48 | 18.43 | 11.3 | 7.42 | 7.42 |
86 | 22 | 22 | 14.21 | 39.16 | 17.37 | 13.9 | 4.82 | 7.84 |
87 | 23 | 23 | 16.72 | 30.24 | 23.74 | 13.28 | 7.56 | 6.28 |
88 | 24 | 24 | 14.75 | 36.59 | 25.53 | 13.4 | 5.26 | 5.02 |
89 | 25 | 25 | 18.41 | 37.17 | 21.08 | 12.84 | 6.42 | 7.82 |
90 | 26 | 26 | 19.69 | 36.05 | 23.33 | 14.08 | 7.9 | 8.24 |
91 | 27 | 27 | 21.69 | 35.06 | 24.56 | 11.7 | 7.6 | 7.22 |
92 | 28 | 28 | 23.26 | 37.97 | 22.78 | 11.34 | 7.28 | 8.3 |
93 | 29 | 29 | 20.4 | 42.16 | 27.01 | 11.18 | 5.44 | 5.74 |
94 | 30 | 30 | 25.56 | 37.87 | 26.18 | 11.06 | 7.96 | 7.68 |
95 | 31 | 31 | 22.05 | 48.04 | 25.9 | 14.48 | 6.62 | 8.56 |
96 | 32 | 32 | 22.99 | 50.85 | 25.42 | 11.22 | 5.04 | 7.12 |
97 | 33 | 33 | 22.59 | 58.34 | 24.21 | 11.54 | 4.32 | 7.6 |
98 | 34 | 34 | 27.08 | 47.19 | 28.35 | 12.88 | 7.66 | 8.72 |
99 | 35 | 35 | 26.17 | 50.63 | 30.06 | 12.1 | 6.36 | 7.34 |
100 | 36 | 36 | 28.23 | 44.67 | 36.32 | 11.86 | 7.9 | 6.3 |
101 | 37 | 37 | 24.6 | 55.43 | 35.84 | 14.56 | 6.4 | 6.68 |
102 | 38 | 38 | 24.95 | 48.97 | 47.3 | 14.86 | 7.68 | 5 |
103 | 39 | 39 | 29.17 | 56.91 | 33.06 | 11.68 | 6.08 | 7.2 |
104 | 40 | 40 | 30.25 | 55.95 | 35.51 | 12.88 | 7.14 | 7.62 |
105 | 15 | 15 | 17.74 | 15.56 | 11.31 | 10.62 | 14.16 | 12.88 |
106 | 16 | 16 | 18.88 | 15.14 | 13.94 | 8.92 | 13.22 | 9.1 |
107 | 17 | 17 | 19.79 | 15.63 | 15.78 | 9.76 | 14.72 | 9.1 |
108 | 18 | 18 | 23.9 | 16.69 | 13.89 | 9.58 | 16.7 | 12.96 |
109 | 19 | 19 | 24.33 | 17.38 | 15.69 | 8.34 | 14.16 | 9.98 |
110 | 20 | 20 | 24.36 | 18.94 | 16.69 | 10.5 | 16.14 | 11.7 |
111 | 21 | 21 | 26.04 | 20.9 | 15.85 | 9.04 | 13.38 | 11.58 |
112 | 22 | 22 | 28.43 | 20.92 | 16.9 | 8.64 | 14.16 | 11.38 |
113 | 23 | 23 | 26.35 | 21.22 | 21.71 | 10.66 | 15.72 | 9.56 |
114 | 24 | 24 | 29.79 | 21.29 | 21.67 | 9.9 | 16.8 | 10.28 |
115 | 25 | 25 | 27.61 | 23.93 | 23.38 | 10.66 | 14.42 | 9.26 |
116 | 26 | 26 | 32.79 | 24.01 | 21.56 | 8.72 | 14.38 | 10.2 |
117 | 27 | 27 | 31.78 | 24.62 | 25.03 | 10.38 | 16.02 | 9.82 |
118 | 28 | 28 | 34.41 | 24.8 | 25.67 | 9.62 | 16.16 | 9.7 |
119 | 29 | 29 | 36.72 | 25.96 | 25.14 | 9.68 | 16.64 | 10.8 |
120 | 30 | 30 | 41.53 | 27.37 | 22.51 | 7.78 | 14.52 | 11.42 |
121 | 31 | 31 | 39.77 | 28.51 | 25.31 | 8.92 | 15.08 | 10.84 |
122 | 32 | 32 | 43.09 | 27.97 | 26.6 | 8.24 | 15.66 | 10.38 |
123 | 33 | 33 | 46.83 | 28.91 | 25.57 | 7.42 | 14.96 | 10.8 |
124 | 34 | 34 | 41.47 | 32.1 | 28.45 | 9.4 | 14.52 | 10.46 |
125 | 35 | 35 | 45.81 | 29.17 | 32.58 | 8.44 | 16.4 | 9 |
126 | 36 | 36 | 40.54 | 33.68 | 34.01 | 10.68 | 15.18 | 9.38 |
127 | 37 | 37 | 52.52 | 35.01 | 25.45 | 7.44 | 13.7 | 12.46 |
128 | 38 | 38 | 49.88 | 36.26 | 28.47 | 9.38 | 15.6 | 12.96 |
129 | 39 | 39 | 49.45 | 36.15 | 31.94 | 10.28 | 16.98 | 12.28 |
130 | 40 | 40 | 47.53 | 40.97 | 30.55 | 10.52 | 14.32 | 12.64 |
131 | 15 | 15 | 15.12 | 20.52 | 9.3 | 11.6 | 9.26 | 14.68 |
132 | 16 | 16 | 18.26 | 20.69 | 9.17 | 9.18 | 9.06 | 14.74 |
133 | 17 | 17 | 16.17 | 27.26 | 9.15 | 11.42 | 7.06 | 15.94 |
134 | 18 | 18 | 18.87 | 24.58 | 10.64 | 9.84 | 8.24 | 13.8 |
135 | 19 | 19 | 19.33 | 26.81 | 11.15 | 11.34 | 8.82 | 15.48 |
136 | 20 | 20 | 21.26 | 26.34 | 12.22 | 12.02 | 10.68 | 16.48 |
137 | 21 | 21 | 22.16 | 29 | 12.12 | 9.56 | 7.96 | 13.88 |
138 | 22 | 22 | 21.93 | 28.47 | 14.97 | 12.42 | 10.44 | 13.9 |
139 | 23 | 23 | 27.78 | 28.85 | 12.83 | 9.24 | 10.1 | 16.38 |
140 | 24 | 24 | 26.75 | 30.22 | 14.7 | 10.12 | 10.02 | 14.62 |
141 | 25 | 25 | 24.6 | 34.91 | 15.53 | 11.2 | 8.48 | 13.74 |
142 | 26 | 26 | 30.06 | 34.41 | 14.2 | 9.64 | 9.4 | 16.64 |
143 | 27 | 27 | 26.71 | 37.71 | 16.66 | 12.84 | 9.78 | 15.98 |
144 | 28 | 28 | 27.83 | 41.59 | 15.79 | 10.64 | 7.58 | 14.8 |
145 | 29 | 29 | 27.97 | 39.14 | 19.4 | 12.6 | 9.7 | 13.84 |
146 | 30 | 30 | 29.33 | 41.29 | 19.18 | 11.96 | 9.14 | 14.08 |
147 | 31 | 31 | 30.76 | 45.28 | 17.92 | 9.82 | 7.12 | 13.24 |
148 | 32 | 32 | 34.05 | 43.42 | 18.72 | 11.18 | 9.6 | 16.14 |
149 | 33 | 33 | 31.41 | 50.9 | 18.69 | 10.9 | 7.06 | 14.34 |
150 | 34 | 34 | 31.05 | 50.48 | 21.39 | 12.12 | 7.82 | 13.42 |
151 | 35 | 35 | 38.36 | 48.06 | 19.42 | 9.88 | 8.66 | 15.72 |
152 | 36 | 36 | 37.34 | 45.45 | 24.09 | 11.4 | 10.34 | 13.64 |
153 | 37 | 37 | 42.54 | 47.91 | 20.97 | 9.2 | 9.14 | 15.1 |
154 | 38 | 38 | 39.12 | 51.03 | 23.53 | 12.18 | 10.18 | 15.82 |
155 | 39 | 39 | 40.5 | 60.78 | 19.53 | 9.96 | 7.06 | 16.78 |
156 | 40 | 40 | 35.69 | 63.5 | 23.68 | 12.58 | 7.3 | 14.56 |
157 | 15 | 15 | 13.24 | 15.77 | 16.55 | 13.44 | 12.5 | 7.38 |
158 | 16 | 16 | 14.05 | 19.13 | 14.52 | 15.92 | 12.66 | 10.94 |
159 | 17 | 17 | 15.61 | 20 | 14.86 | 13.64 | 11.64 | 10.32 |
160 | 18 | 18 | 15.06 | 23.43 | 15.39 | 14.28 | 9.7 | 9.94 |
161 | 19 | 19 | 16.9 | 21.87 | 17.96 | 14.56 | 12.28 | 9.68 |
162 | 20 | 20 | 16.97 | 22.61 | 20.79 | 15.82 | 12.9 | 8.9 |
163 | 21 | 21 | 16.07 | 27.24 | 20.52 | 16.28 | 10 | 8.72 |
164 | 22 | 22 | 17.12 | 31.27 | 18.32 | 16.28 | 9.16 | 10.74 |
165 | 23 | 23 | 17.59 | 29.5 | 22.88 | 15.76 | 9.8 | 8.26 |
166 | 24 | 24 | 19.83 | 31.18 | 20.95 | 13.56 | 9.1 | 9.08 |
167 | 25 | 25 | 20.16 | 29.32 | 26.43 | 14.44 | 10.62 | 7.5 |
168 | 26 | 26 | 24.72 | 28.63 | 23.98 | 13.02 | 12.52 | 9.64 |
169 | 27 | 27 | 22.12 | 32.37 | 26.96 | 15.48 | 11.3 | 8.76 |
170 | 28 | 28 | 23.05 | 31.04 | 31.39 | 15.1 | 12.16 | 7.5 |
171 | 29 | 29 | 24.77 | 33.84 | 28.42 | 14.02 | 11.1 | 8.52 |
172 | 30 | 30 | 27.4 | 34.39 | 27.49 | 14.22 | 12.44 | 10.12 |
173 | 31 | 31 | 24.65 | 37.54 | 31.82 | 13.46 | 9.38 | 7.12 |
174 | 32 | 32 | 24.51 | 43.95 | 28.65 | 16.52 | 9.5 | 9.82 |
175 | 33 | 33 | 29.53 | 35.45 | 34.46 | 14.1 | 13 | 8.4 |
176 | 34 | 34 | 26.9 | 42.37 | 33.65 | 16.4 | 10.98 | 9 |
177 | 35 | 35 | 31.18 | 43.11 | 29.77 | 14.5 | 11.32 | 10.94 |
178 | 36 | 36 | 29.8 | 46.53 | 31.6 | 14.16 | 9.58 | 9.44 |
179 | 37 | 37 | 34.43 | 42.24 | 33.25 | 13.6 | 12.22 | 10.12 |
180 | 38 | 38 | 29.91 | 50.18 | 34.7 | 14.54 | 9.04 | 8.72 |
181 | 39 | 39 | 29.97 | 46.67 | 42.9 | 15.88 | 10.78 | 7.44 |
182 | 40 | 40 | 30.52 | 54.63 | 36.32 | 16.84 | 9.7 | 9.8 |
183 | 15 | 15 | 16.36 | 17.13 | 10.89 | 11.36 | 12.3 | 13.1 |
184 | 16 | 16 | 16.8 | 17.86 | 12.62 | 12 | 12.76 | 12 |
185 | 17 | 17 | 16.67 | 19.49 | 14.12 | 13.06 | 12.42 | 11.34 |
186 | 18 | 18 | 20.22 | 20.44 | 12.66 | 10.28 | 11.6 | 12.74 |
187 | 19 | 19 | 19.08 | 20.96 | 16.2 | 12.84 | 13.14 | 11.12 |
188 | 20 | 20 | 21.16 | 23.09 | 14.85 | 10.74 | 11.08 | 11.64 |
189 | 21 | 21 | 22.04 | 23.33 | 16.69 | 10.78 | 11.52 | 10.68 |
190 | 22 | 22 | 23.83 | 22.88 | 18.55 | 10.84 | 13 | 10.4 |
191 | 23 | 23 | 22.54 | 26.1 | 19.41 | 13.08 | 12.58 | 11.14 |
192 | 24 | 24 | 23.31 | 27.95 | 19.73 | 12.22 | 11.28 | 10.62 |
193 | 25 | 25 | 24.87 | 28.96 | 20.05 | 11.32 | 10.82 | 10.42 |
194 | 26 | 26 | 26.19 | 27.31 | 23.81 | 12.74 | 13.86 | 10.18 |
195 | 27 | 27 | 30.87 | 30.34 | 18.87 | 10.92 | 12.74 | 13.92 |
196 | 28 | 28 | 29.1 | 31.08 | 22.58 | 12.44 | 13.16 | 11.98 |
197 | 29 | 29 | 30.32 | 33.01 | 22.34 | 12.9 | 13.34 | 13.2 |
198 | 30 | 30 | 34.14 | 30.77 | 24.19 | 10.36 | 13.38 | 11.1 |
199 | 31 | 31 | 30.46 | 35.95 | 25.24 | 13.76 | 12.94 | 12.26 |
200 | 32 | 32 | 31.07 | 38.91 | 24.67 | 11.72 | 10.28 | 10.98 |
201 | 33 | 33 | 37.2 | 35.62 | 24.94 | 10.46 | 12.58 | 11.96 |
202 | 34 | 34 | 33.04 | 43.54 | 24.28 | 12.3 | 10.16 | 12.62 |
203 | 35 | 35 | 32.43 | 45.75 | 25.85 | 13.38 | 10.2 | 12.48 |
204 | 36 | 36 | 35.84 | 41.62 | 28.93 | 11.14 | 10.68 | 10.24 |
205 | 37 | 37 | 35.53 | 41.77 | 32.38 | 13.38 | 12.64 | 10.66 |
206 | 38 | 38 | 42.36 | 45.91 | 24.69 | 10.12 | 10.52 | 13.64 |
207 | 39 | 39 | 39.78 | 43.45 | 32.07 | 12.56 | 12.94 | 11.56 |
208 | 40 | 40 | 39.06 | 44.5 | 34.98 | 13.28 | 13.02 | 10.8 |
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