Egwald Economics: Microeconomics
Production Functions
by
Elmer G. Wiens
Egwald's popular web pages are provided without cost to users.
Follow Elmer Wiens on Twitter:
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 | 0.00048 | 0 | 1.172 | lnL | 0.350168 | 0 | 2584.995 | lnK | 0.399891 | 0 | 2770.587 | lnM | 0.249659 | 0 | 2044.257 | lnLlnL | -0.020197 | 0 | -775.406 | lnKlnK | -0.021165 | 0 | -812.895 | lnMlnM | -0.017295 | 0 | -752.363 | lnLlnK | 0.024095 | 0 | 639.298 | lnLlnM | 0.016304 | 0 | 460.53 | lnKlnM | 0.018298 | 0 | 525.139 |
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 | 15.73 | 15.12 | 13.87 | 7.9 | 9.46 | 6.54 |
2 | 16 | 16 | 14.51 | 20.4 | 12.62 | 8.18 | 6.26 | 6.88 |
3 | 17 | 17 | 15.28 | 23.42 | 12.13 | 9.6 | 6.64 | 9 |
4 | 18 | 18 | 16.59 | 20.96 | 15.91 | 9.7 | 8.42 | 7.28 |
5 | 19 | 19 | 17.92 | 23.8 | 14.58 | 7.6 | 6.22 | 6.92 |
6 | 20 | 20 | 19.9 | 20.91 | 18.78 | 8.42 | 9.08 | 6.44 |
7 | 21 | 21 | 24.41 | 22.21 | 15.73 | 7.58 | 9.68 | 9.08 |
8 | 22 | 22 | 19.84 | 26.11 | 19.46 | 8.46 | 7 | 6.18 |
9 | 23 | 23 | 28.79 | 23.84 | 16.14 | 6.42 | 9.16 | 9.06 |
10 | 24 | 24 | 27.84 | 27.94 | 15.64 | 6.96 | 7.92 | 9.8 |
11 | 25 | 25 | 27.49 | 30.72 | 16.13 | 7.42 | 7.44 | 9.92 |
12 | 26 | 26 | 23.07 | 30.35 | 24.13 | 9.86 | 8.16 | 6.68 |
13 | 27 | 27 | 27.16 | 31.56 | 21.05 | 6.62 | 6.34 | 6.38 |
14 | 28 | 28 | 33.35 | 27.56 | 22.66 | 6.88 | 9.84 | 7.74 |
15 | 29 | 29 | 29.59 | 34.43 | 21.68 | 8.7 | 8.32 | 8.96 |
16 | 30 | 30 | 34.41 | 29.46 | 25.6 | 6.88 | 9.44 | 6.96 |
17 | 31 | 31 | 34.56 | 31.82 | 25.65 | 6.94 | 8.74 | 7.04 |
18 | 32 | 32 | 29.7 | 35.66 | 29.94 | 9.44 | 8.7 | 6.68 |
19 | 33 | 33 | 32.09 | 45.78 | 21.02 | 8 | 6.02 | 9.4 |
20 | 34 | 34 | 36.54 | 37.89 | 26.07 | 6.72 | 7.36 | 7.14 |
21 | 35 | 35 | 37.02 | 38.3 | 28.18 | 7.76 | 8.52 | 7.64 |
22 | 36 | 36 | 42.99 | 40.71 | 23.59 | 6.04 | 7.36 | 8.74 |
23 | 37 | 37 | 40.8 | 37.42 | 31.79 | 7.16 | 9.06 | 6.86 |
24 | 38 | 38 | 34.88 | 44.17 | 33.85 | 9.08 | 7.86 | 6.72 |
25 | 39 | 39 | 35.65 | 49.13 | 30.97 | 7.76 | 6.08 | 6.54 |
26 | 40 | 40 | 35.67 | 49.44 | 33.81 | 9.02 | 7.02 | 6.86 |
27 | 15 | 15 | 17.3 | 14.23 | 13.42 | 8.14 | 11.7 | 7.84 |
28 | 16 | 16 | 19.91 | 12.12 | 18.72 | 6.98 | 14.3 | 5.36 |
29 | 17 | 17 | 16.87 | 14.85 | 21.49 | 8.86 | 11.76 | 4.76 |
30 | 18 | 18 | 19.16 | 16.21 | 19.56 | 8.84 | 12.3 | 6.16 |
31 | 19 | 19 | 27.06 | 14.06 | 19.28 | 5.9 | 14.56 | 6.28 |
32 | 20 | 20 | 27.39 | 13.38 | 25.51 | 5.46 | 14.5 | 4.24 |
33 | 21 | 21 | 27.18 | 15.6 | 24.08 | 5.1 | 11.2 | 4.2 |
34 | 22 | 22 | 26.85 | 19.88 | 19.73 | 7.58 | 12.34 | 7.78 |
35 | 23 | 23 | 27.82 | 17.84 | 26.88 | 6.64 | 12.8 | 4.94 |
36 | 24 | 24 | 26.55 | 19.04 | 30.62 | 7.42 | 12.54 | 4.48 |
37 | 25 | 25 | 37.24 | 16.66 | 28.65 | 5.04 | 14.84 | 4.9 |
38 | 26 | 26 | 35.14 | 20.84 | 24.75 | 6.88 | 14.54 | 7.42 |
39 | 27 | 27 | 33.63 | 23.19 | 25.55 | 7.64 | 13.52 | 7.54 |
40 | 28 | 28 | 30.94 | 25.31 | 28.71 | 8.18 | 11.84 | 6.38 |
41 | 29 | 29 | 32.27 | 26.08 | 29.68 | 7.94 | 11.66 | 6.26 |
42 | 30 | 30 | 38.19 | 24.8 | 29.39 | 7.16 | 13.6 | 6.96 |
43 | 31 | 31 | 42.64 | 24.44 | 29.62 | 5.8 | 12.76 | 6.36 |
44 | 32 | 31.99 | 33.44 | 26.07 | 42.31 | 7.94 | 12.16 | 4.3 |
45 | 33 | 33 | 38.88 | 27.39 | 35.64 | 8.24 | 14.22 | 6.52 |
46 | 34 | 34 | 54.44 | 25.3 | 29.42 | 5.32 | 14.98 | 7.84 |
47 | 35 | 35 | 48.49 | 28.79 | 30.9 | 6.18 | 13.04 | 7.5 |
48 | 36 | 36 | 41.41 | 29.01 | 42.28 | 7.92 | 13.76 | 5.52 |
49 | 37 | 37 | 49.36 | 30.16 | 34.84 | 5.52 | 11.26 | 5.94 |
50 | 38 | 38 | 43.21 | 35.33 | 35.78 | 7.94 | 11.5 | 7.08 |
51 | 39 | 39 | 54.73 | 30.88 | 36.04 | 6.56 | 14.7 | 7.66 |
52 | 40 | 40 | 55.52 | 28.16 | 45.78 | 5.78 | 14.68 | 5.18 |
53 | 15 | 15 | 16.23 | 20.44 | 8.54 | 7.46 | 6.5 | 11.34 |
54 | 16 | 16 | 26.56 | 15.83 | 8.56 | 4.18 | 8.78 | 11.32 |
55 | 17 | 17 | 20.52 | 25.93 | 7.31 | 6.2 | 5.38 | 14.92 |
56 | 18 | 18 | 23.1 | 22.04 | 9.64 | 5.86 | 7.08 | 11.7 |
57 | 19 | 19 | 22.94 | 27.01 | 8.95 | 5.66 | 5.34 | 12.24 |
58 | 20 | 20 | 20.49 | 30.32 | 10.57 | 7.66 | 5.52 | 11.92 |
59 | 21 | 21 | 29.27 | 23.81 | 11.35 | 5.08 | 7.4 | 11.06 |
60 | 22 | 22 | 34.37 | 28.06 | 8.9 | 4.26 | 6.18 | 14.92 |
61 | 23 | 23 | 25.41 | 36.46 | 10.45 | 7.28 | 5.44 | 14.78 |
62 | 24 | 24 | 27.69 | 34.65 | 11.7 | 6.38 | 5.6 | 12.56 |
63 | 25 | 25 | 31.52 | 37.64 | 10.39 | 5.52 | 5.12 | 14.54 |
64 | 26 | 26 | 38.77 | 36.22 | 9.88 | 4.2 | 5.2 | 14.98 |
65 | 27 | 27 | 39.44 | 33.39 | 12.27 | 5.28 | 7.34 | 14.9 |
66 | 28 | 28 | 40.43 | 38.35 | 11.27 | 4.54 | 5.52 | 14.58 |
67 | 29 | 29 | 36.8 | 37.63 | 14.55 | 5.3 | 5.9 | 11.28 |
68 | 30 | 30 | 41.69 | 34.85 | 15.73 | 5.06 | 7.14 | 11.38 |
69 | 31 | 31 | 36.76 | 42.76 | 15.53 | 6.92 | 6.62 | 13.62 |
70 | 32 | 32 | 47.89 | 36.38 | 15.85 | 4.66 | 7.36 | 12.22 |
71 | 33 | 33 | 50.9 | 35.06 | 17.36 | 5 | 8.86 | 12.66 |
72 | 34 | 34 | 46.95 | 39.41 | 18.01 | 5.94 | 8.34 | 13.1 |
73 | 35 | 35 | 42.87 | 42.77 | 19.89 | 6.58 | 7.54 | 11.6 |
74 | 36 | 36 | 48.63 | 43.76 | 18.33 | 6.6 | 8.54 | 14.86 |
75 | 37 | 37 | 47.3 | 53.3 | 16.02 | 5.78 | 5.74 | 14.76 |
76 | 38 | 38 | 46.67 | 56.02 | 16.73 | 5.88 | 5.42 | 14.04 |
77 | 39 | 39 | 44.09 | 50.59 | 22.52 | 7.2 | 7 | 11.34 |
78 | 40 | 40 | 52.85 | 53.44 | 18.4 | 5.94 | 6.7 | 14.68 |
79 | 15 | 15 | 10.76 | 19.91 | 15.57 | 11.98 | 6.64 | 5.54 |
80 | 16 | 16 | 11.76 | 24.98 | 12.61 | 13.16 | 6.2 | 8.66 |
81 | 17 | 17 | 13.14 | 20.98 | 17.66 | 11.26 | 7.42 | 5.68 |
82 | 18 | 18 | 15.15 | 24.11 | 14.63 | 12.06 | 7.98 | 8.98 |
83 | 19 | 19 | 13.15 | 30.91 | 15.41 | 14.54 | 6.08 | 8.62 |
84 | 20 | 20 | 13.14 | 27.29 | 22.72 | 14.72 | 7.12 | 5.52 |
85 | 21 | 21 | 14.64 | 31.18 | 19.22 | 14.74 | 6.92 | 7.64 |
86 | 22 | 22 | 15.26 | 35.66 | 17.86 | 13.44 | 5.66 | 7.98 |
87 | 23 | 23 | 14.66 | 37.42 | 21.03 | 14.12 | 5.36 | 6.6 |
88 | 24 | 24 | 18.21 | 31.67 | 23.13 | 13.02 | 7.76 | 7.02 |
89 | 25 | 25 | 14.8 | 45.05 | 22.07 | 13.48 | 4.16 | 6.02 |
90 | 26 | 26 | 17.59 | 43.4 | 21.01 | 14.94 | 5.9 | 8.66 |
91 | 27 | 27 | 20.51 | 38.93 | 22.79 | 13.28 | 7.14 | 8.38 |
92 | 28 | 28 | 18.2 | 39.92 | 30.24 | 13.54 | 6.14 | 5.32 |
93 | 29 | 29 | 18.49 | 40.39 | 33.45 | 14.96 | 6.82 | 5.32 |
94 | 30 | 30 | 23.66 | 40.77 | 26.17 | 11.32 | 6.82 | 7.18 |
95 | 31 | 31 | 20.95 | 49.64 | 26.61 | 11.06 | 4.58 | 5.96 |
96 | 32 | 32 | 23.18 | 49.27 | 26.28 | 12.24 | 5.76 | 7.54 |
97 | 33 | 33 | 21.14 | 57.68 | 27.06 | 12.54 | 4.4 | 6.7 |
98 | 34 | 34 | 24.57 | 51.37 | 28.79 | 12.42 | 5.96 | 7.36 |
99 | 35 | 35 | 25.75 | 48.02 | 33.29 | 14.28 | 7.84 | 7.54 |
100 | 36 | 36 | 28.03 | 53.46 | 28.11 | 11.86 | 6.34 | 8.44 |
101 | 37 | 37 | 29.72 | 50.33 | 31.39 | 12.78 | 7.86 | 8.56 |
102 | 38 | 38 | 27.63 | 53.43 | 35.43 | 11.48 | 6.04 | 6.12 |
103 | 39 | 39 | 26.17 | 56.31 | 39.38 | 12.5 | 5.8 | 5.52 |
104 | 40 | 40 | 31.59 | 57.61 | 31.99 | 12.7 | 7.16 | 8.94 |
105 | 15 | 15 | 19.64 | 13.63 | 12.16 | 8.2 | 14.4 | 10.3 |
106 | 16 | 16 | 24.09 | 12.86 | 13.19 | 7.06 | 16.88 | 10.24 |
107 | 17 | 17 | 25.86 | 14.45 | 12.67 | 7.34 | 16.64 | 12.14 |
108 | 18 | 18 | 25.33 | 16.38 | 13.28 | 8.32 | 15.88 | 12.7 |
109 | 19 | 19 | 22.05 | 17.22 | 18.14 | 10.48 | 16.02 | 9.42 |
110 | 20 | 20 | 27.7 | 18.84 | 14.29 | 7.44 | 13.38 | 11.58 |
111 | 21 | 21 | 27.97 | 19.82 | 15.7 | 8.32 | 14.26 | 11.72 |
112 | 22 | 22 | 31.88 | 20.63 | 14.96 | 7.14 | 13.62 | 12.42 |
113 | 23 | 23 | 32.66 | 21.49 | 16.12 | 7.86 | 14.7 | 12.88 |
114 | 24 | 24 | 34.51 | 21.22 | 18.03 | 7.16 | 14.5 | 10.98 |
115 | 25 | 25 | 30.38 | 22.53 | 22.63 | 10.32 | 16.76 | 10.42 |
116 | 26 | 26 | 28.38 | 27.09 | 21.63 | 10.82 | 13.06 | 10.64 |
117 | 27 | 27 | 35 | 25.21 | 21.24 | 9.4 | 15.8 | 12.08 |
118 | 28 | 28 | 38.07 | 27.2 | 19.53 | 8.12 | 13.78 | 12.72 |
119 | 29 | 29 | 41.2 | 22.99 | 26.34 | 7.46 | 16.94 | 9.02 |
120 | 30 | 30 | 38.04 | 27.44 | 25.09 | 8.7 | 14.6 | 10.14 |
121 | 31 | 31 | 39.85 | 28.92 | 24.69 | 9.9 | 16.5 | 12.42 |
122 | 32 | 32 | 37.41 | 28.67 | 30.81 | 10.16 | 15.88 | 9.12 |
123 | 33 | 33 | 50.05 | 28.89 | 23.56 | 7.5 | 16.36 | 13 |
124 | 34 | 34 | 41.1 | 32.81 | 27.83 | 9.84 | 14.66 | 11.12 |
125 | 35 | 35 | 41.84 | 31.33 | 32.74 | 10.2 | 16.38 | 9.72 |
126 | 36 | 36 | 48.53 | 35.17 | 25.16 | 8.04 | 13.42 | 12.44 |
127 | 37 | 37 | 52.49 | 34.13 | 26.47 | 7.52 | 14.26 | 12.02 |
128 | 38 | 38 | 46.32 | 36.56 | 30.91 | 10.16 | 15.34 | 11.68 |
129 | 39 | 39 | 54.95 | 33.52 | 31.42 | 8.08 | 16.52 | 11.14 |
130 | 40 | 40 | 47.49 | 39.95 | 31.78 | 10.84 | 15.18 | 12.42 |
131 | 15 | 15 | 15.33 | 19.2 | 10.03 | 11.24 | 9.86 | 13.22 |
132 | 16 | 16 | 14.9 | 24.17 | 9.59 | 12.98 | 8.4 | 15.58 |
133 | 17 | 17 | 19.6 | 21.02 | 10.24 | 9.14 | 9.62 | 14.02 |
134 | 18 | 18 | 17.73 | 26.36 | 10.47 | 12.3 | 8.82 | 16.34 |
135 | 19 | 19 | 21.56 | 25.37 | 10.49 | 9.54 | 9 | 15.9 |
136 | 20 | 20 | 23.36 | 23.89 | 12.45 | 9.4 | 10.46 | 14.08 |
137 | 21 | 21 | 19.36 | 33.97 | 11.63 | 12.38 | 7.3 | 16.1 |
138 | 22 | 22 | 24.17 | 28.05 | 13.49 | 10.76 | 10.32 | 15.26 |
139 | 23 | 23 | 23.02 | 31.95 | 14.09 | 12.84 | 9.98 | 16.34 |
140 | 24 | 24 | 26.6 | 31.81 | 13.78 | 10.54 | 9.76 | 16.32 |
141 | 25 | 25 | 23.68 | 36.19 | 15.53 | 11.56 | 8.02 | 13.56 |
142 | 26 | 26 | 28.74 | 32.51 | 16.25 | 10.68 | 10.56 | 14.92 |
143 | 27 | 27 | 26.8 | 38.76 | 15.97 | 12.78 | 9.46 | 16.78 |
144 | 28 | 28 | 28.89 | 36.7 | 17.89 | 12.52 | 10.8 | 15.72 |
145 | 29 | 29 | 28.81 | 41.65 | 17.13 | 10.72 | 7.94 | 14.12 |
146 | 30 | 30 | 32.05 | 44.21 | 15.62 | 9.12 | 7.14 | 15.18 |
147 | 31 | 31 | 32.22 | 41.2 | 19.24 | 11.66 | 9.98 | 15.28 |
148 | 32 | 32 | 32.55 | 44.63 | 19.09 | 11.82 | 9.32 | 15.82 |
149 | 33 | 33 | 35.64 | 46.22 | 18.16 | 9.22 | 7.76 | 14.56 |
150 | 34 | 34 | 39.3 | 41.94 | 20.48 | 9.86 | 10.44 | 15.16 |
151 | 35 | 35 | 33.66 | 47.37 | 23.42 | 12.06 | 9.22 | 13.2 |
152 | 36 | 36 | 33.08 | 58.74 | 19.79 | 12.48 | 7.26 | 16.32 |
153 | 37 | 37 | 33.03 | 60.96 | 20.84 | 12.7 | 7.06 | 15.6 |
154 | 38 | 38 | 44.94 | 47.09 | 22.11 | 9.54 | 10.32 | 15.7 |
155 | 39 | 39 | 40.85 | 48.14 | 26.61 | 11.38 | 10.72 | 13.46 |
156 | 40 | 40 | 48.15 | 49.49 | 22.83 | 9.38 | 10.38 | 16.12 |
157 | 15 | 15 | 12.91 | 18.03 | 13.89 | 16.02 | 12.36 | 10.5 |
158 | 16 | 16 | 12.23 | 19.29 | 17.54 | 15.32 | 10.24 | 7.16 |
159 | 17 | 17 | 14.43 | 18.69 | 18.48 | 14.16 | 11.94 | 7.56 |
160 | 18 | 18 | 14.21 | 21.64 | 18.89 | 14.2 | 9.9 | 7.26 |
161 | 19 | 19 | 15.92 | 21.09 | 20.73 | 13.6 | 11.16 | 7.12 |
162 | 20 | 20 | 18.58 | 22.25 | 18.74 | 14.06 | 13 | 9.94 |
163 | 21 | 21 | 17.47 | 25.32 | 20.33 | 14.32 | 10.58 | 8.56 |
164 | 22 | 22 | 17.71 | 25.5 | 23.76 | 14.84 | 11.04 | 7.5 |
165 | 23 | 23 | 18.26 | 29.15 | 22.07 | 13.92 | 9.18 | 7.96 |
166 | 24 | 24 | 20.12 | 30.6 | 21.11 | 13.1 | 9.14 | 8.84 |
167 | 25 | 25 | 20.34 | 28.65 | 27.06 | 15.4 | 11.76 | 7.86 |
168 | 26 | 26 | 21.04 | 33.86 | 23.29 | 15.74 | 10.28 | 9.98 |
169 | 27 | 27 | 21.8 | 34.23 | 25.27 | 13.66 | 9.18 | 8.2 |
170 | 28 | 28 | 23.25 | 34.73 | 26.03 | 16.28 | 11.6 | 10.18 |
171 | 29 | 29 | 21.79 | 40.21 | 26.33 | 16.48 | 9.16 | 9.42 |
172 | 30 | 30 | 25.59 | 38.39 | 25.62 | 14.02 | 9.94 | 10 |
173 | 31 | 31 | 23.7 | 40.12 | 30.42 | 15.96 | 9.82 | 8.5 |
174 | 32 | 32 | 29.2 | 35.51 | 30.89 | 14.12 | 12.82 | 9.44 |
175 | 33 | 33 | 26.35 | 40.4 | 33.1 | 15.16 | 10.48 | 8.28 |
176 | 34 | 34 | 25.83 | 47.23 | 30.29 | 16.48 | 9.26 | 9.76 |
177 | 35 | 35 | 27.19 | 42.84 | 36.56 | 16.58 | 11.1 | 8.36 |
178 | 36 | 36 | 28.87 | 39.51 | 42.68 | 16.1 | 12.72 | 7.26 |
179 | 37 | 37 | 33.14 | 42.98 | 34.14 | 13.02 | 10.96 | 8.98 |
180 | 38 | 38 | 28.76 | 49.93 | 36.99 | 16.64 | 9.94 | 8.84 |
181 | 39 | 39 | 30.71 | 47.66 | 40.03 | 13.5 | 9.2 | 7.06 |
182 | 40 | 40 | 31.59 | 53.74 | 35.43 | 16.12 | 9.86 | 10.06 |
183 | 15 | 15 | 16.1 | 18.03 | 10.31 | 10.56 | 10.56 | 12.74 |
184 | 16 | 16 | 15.86 | 18.27 | 13.18 | 12.88 | 12.46 | 11.44 |
185 | 17 | 17 | 17.33 | 19.54 | 13.35 | 13.86 | 13.76 | 13.46 |
186 | 18 | 18 | 18.65 | 21.05 | 13.47 | 11.38 | 11.28 | 11.92 |
187 | 19 | 19 | 21.77 | 19.26 | 15.46 | 10.26 | 13.54 | 10.96 |
188 | 20 | 20 | 20.37 | 23.71 | 15.02 | 13.22 | 12.64 | 13.52 |
189 | 21 | 21 | 21.11 | 25.98 | 15.07 | 12 | 10.74 | 12.74 |
190 | 22 | 22 | 22.47 | 24.33 | 18.27 | 12.78 | 13.3 | 11.64 |
191 | 23 | 23 | 22.55 | 27.23 | 18.21 | 12.26 | 11.22 | 11.26 |
192 | 24 | 24 | 22.85 | 31.94 | 16.66 | 13.34 | 10.28 | 13.82 |
193 | 25 | 25 | 28.04 | 27.27 | 18.71 | 10.28 | 12.14 | 11.82 |
194 | 26 | 26 | 24.68 | 33.72 | 18.81 | 13.24 | 10.48 | 13.02 |
195 | 27 | 27 | 25.54 | 31.57 | 22.87 | 13.2 | 11.76 | 10.74 |
196 | 28 | 28 | 29.06 | 30.91 | 22.81 | 12.72 | 13.52 | 12.08 |
197 | 29 | 29 | 29.75 | 32.34 | 23.64 | 12.84 | 13.3 | 12.02 |
198 | 30 | 30 | 31.75 | 31.73 | 25.41 | 11.98 | 13.7 | 11.12 |
199 | 31 | 31 | 32.03 | 35.92 | 23.63 | 13.02 | 13 | 13.3 |
200 | 32 | 32 | 32.21 | 37.78 | 24.56 | 14 | 13.26 | 13.76 |
201 | 33 | 33 | 32.46 | 38.93 | 26.15 | 12.14 | 11.2 | 11.18 |
202 | 34 | 34 | 34.29 | 36.57 | 29.97 | 13.12 | 13.9 | 10.98 |
203 | 35 | 35 | 36.33 | 39.22 | 27.87 | 10.78 | 11.26 | 10.52 |
204 | 36 | 36 | 35.63 | 40.87 | 29.97 | 13.16 | 12.8 | 11.52 |
205 | 37 | 37 | 34.31 | 45.69 | 29.67 | 12.72 | 10.38 | 10.78 |
206 | 38 | 38 | 43.39 | 43.94 | 25.51 | 10 | 11.26 | 13.34 |
207 | 39 | 39 | 37.56 | 47.42 | 30.41 | 12.34 | 10.72 | 11.3 |
208 | 40 | 40 | 44.58 | 43.53 | 30.3 | 10.72 | 12.6 | 12.06 |
|