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 | 0.000401 | 0 | 1.154 | lnL | 0.35007 | 0 | 3127.92 | lnK | 0.400252 | 0 | 3265.207 | lnM | 0.249414 | 0 | 2494.57 | lnLlnL | -0.020155 | 0 | -901.08 | lnKlnK | -0.021159 | 0 | -997.889 | lnMlnM | -0.017208 | 0 | -813.553 | lnLlnK | 0.02405 | 0 | 682.841 | lnLlnM | 0.016293 | 0 | 565.591 | lnKlnM | 0.01822 | 0 | 601.238 |
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 | 14.13 | 17.83 | 12.47 | 8.56 | 7.44 | 7.08 |
2 | 16 | 16 | 16.89 | 20.19 | 10.48 | 7.6 | 7.04 | 9.52 |
3 | 17 | 17 | 19.51 | 19.64 | 11.36 | 6.86 | 7.78 | 9.26 |
4 | 18 | 18 | 17.94 | 20.83 | 14.42 | 9.66 | 9.26 | 8.92 |
5 | 19 | 19 | 19.2 | 21.68 | 15.25 | 8.5 | 8.42 | 7.96 |
6 | 20 | 20 | 23.62 | 21.13 | 14.69 | 6.74 | 8.78 | 8.42 |
7 | 21 | 21 | 19.3 | 26.94 | 16.11 | 8.42 | 6.5 | 7.44 |
8 | 22 | 22 | 20.59 | 24.5 | 20.37 | 9.04 | 8.42 | 6.54 |
9 | 23 | 23 | 24.21 | 24.85 | 19 | 7.94 | 8.8 | 7.54 |
10 | 24 | 24 | 25.08 | 27.37 | 18.45 | 9.56 | 9.86 | 9.8 |
11 | 25 | 25 | 25.72 | 26.05 | 22.53 | 8.1 | 9.12 | 6.76 |
12 | 26 | 26 | 26.8 | 33.48 | 17.05 | 7.32 | 6.44 | 8.9 |
13 | 27 | 27 | 26.88 | 34.6 | 18.65 | 7.56 | 6.42 | 8.3 |
14 | 28 | 28 | 27.95 | 32.3 | 22.5 | 10 | 9.64 | 9.22 |
15 | 29 | 29 | 31.31 | 29.4 | 25.54 | 7.8 | 9.6 | 7.08 |
16 | 30 | 30 | 32.46 | 29.32 | 27.91 | 7.22 | 9.3 | 6.16 |
17 | 31 | 31 | 36.95 | 36.59 | 19.14 | 6.02 | 6.96 | 9.32 |
18 | 32 | 32 | 30.91 | 35.25 | 28.85 | 8.7 | 8.52 | 6.74 |
19 | 33 | 33 | 33.63 | 43.5 | 21.25 | 7.44 | 6.28 | 9.12 |
20 | 34 | 34 | 33.75 | 44.13 | 23.15 | 8.66 | 7.22 | 9.64 |
21 | 35 | 35 | 29.21 | 48.49 | 27.42 | 9.72 | 6.12 | 7.48 |
22 | 36 | 36 | 34.42 | 45.82 | 26.51 | 7.62 | 6.22 | 7.4 |
23 | 37 | 37 | 38.83 | 40.56 | 30.01 | 7.92 | 8.6 | 7.66 |
24 | 38 | 38 | 36.97 | 41.64 | 34.19 | 9.6 | 9.54 | 7.52 |
25 | 39 | 39 | 39.94 | 46.44 | 28.89 | 8.38 | 8.02 | 8.76 |
26 | 40 | 40 | 33.86 | 52.94 | 32.84 | 8.94 | 6.04 | 6.62 |
27 | 15 | 15 | 20.98 | 9.92 | 18.98 | 5.4 | 14.9 | 4.34 |
28 | 16 | 16 | 19.95 | 14.39 | 14.04 | 7.02 | 11.78 | 7.58 |
29 | 17 | 17 | 18.52 | 14.8 | 18.91 | 7.66 | 11.4 | 5.34 |
30 | 18 | 18 | 19.32 | 16.1 | 19.55 | 8.46 | 11.98 | 5.96 |
31 | 19 | 19 | 26.75 | 13.76 | 20.3 | 5.14 | 12.84 | 5.08 |
32 | 20 | 20 | 23.25 | 15.77 | 24.04 | 7.98 | 14.4 | 5.48 |
33 | 21 | 21 | 26.54 | 15.47 | 25.25 | 6.26 | 13.5 | 4.74 |
34 | 22 | 22 | 27.81 | 18.36 | 21.41 | 7.16 | 13.34 | 6.96 |
35 | 23 | 23 | 25.7 | 19.14 | 26.63 | 7.24 | 11.7 | 4.96 |
36 | 24 | 24 | 30.44 | 16.86 | 31.23 | 6.06 | 13.88 | 4.2 |
37 | 25 | 25 | 30.15 | 20.53 | 26.62 | 7.06 | 12.68 | 5.84 |
38 | 26 | 26 | 30.09 | 22.56 | 26.73 | 8.94 | 14.34 | 7.34 |
39 | 27 | 27 | 33.37 | 22.39 | 27.37 | 7.56 | 13.82 | 6.82 |
40 | 28 | 28 | 31.51 | 25.5 | 27.65 | 7.9 | 11.58 | 6.58 |
41 | 29 | 29 | 36.89 | 24.35 | 27.71 | 6 | 11.18 | 6 |
42 | 30 | 30 | 38.09 | 24.03 | 31.07 | 6.28 | 12.34 | 5.7 |
43 | 31 | 31 | 39.17 | 27.5 | 27.34 | 7.1 | 12.3 | 7.74 |
44 | 32 | 32 | 39.98 | 25.48 | 34.22 | 7.6 | 14.76 | 6.52 |
45 | 33 | 33 | 42.13 | 26.25 | 34.33 | 6.8 | 13.56 | 6.18 |
46 | 34 | 34 | 42.08 | 26.28 | 38.73 | 6.96 | 13.84 | 5.48 |
47 | 35 | 35 | 37.54 | 31.58 | 37.5 | 8.08 | 11.32 | 5.78 |
48 | 36 | 36 | 48.24 | 29.17 | 34.04 | 5.48 | 11.32 | 5.9 |
49 | 37 | 37 | 47.47 | 25.89 | 47.71 | 6.14 | 14.32 | 4.36 |
50 | 38 | 38 | 50.25 | 30.11 | 37.94 | 6.86 | 14.32 | 6.82 |
51 | 39 | 39 | 57.13 | 31.73 | 32.64 | 5.74 | 13.1 | 7.92 |
52 | 40 | 40 | 41.13 | 35.05 | 47.79 | 8.22 | 11.34 | 4.92 |
53 | 15 | 15 | 24.64 | 15.77 | 7.45 | 4.12 | 7.96 | 12.02 |
54 | 16 | 16 | 25.4 | 17.22 | 8 | 4.22 | 7.62 | 11.74 |
55 | 17 | 17 | 27.25 | 18.41 | 8.33 | 4.7 | 8.52 | 13.54 |
56 | 18 | 18 | 25.75 | 23.16 | 7.94 | 4.68 | 6.06 | 13.34 |
57 | 19 | 19 | 25.8 | 22.41 | 10.02 | 5.62 | 7.58 | 12.22 |
58 | 20 | 20 | 25.27 | 24.75 | 10.76 | 5.72 | 6.7 | 11.16 |
59 | 21 | 21 | 23.75 | 26.79 | 12.4 | 7.34 | 7.28 | 11.26 |
60 | 22 | 22 | 33.2 | 25.31 | 10.62 | 4.96 | 7.8 | 13.54 |
61 | 23 | 23 | 30.01 | 28.35 | 11.97 | 6.4 | 7.82 | 13.48 |
62 | 24 | 24 | 33.83 | 29.77 | 11.31 | 5.3 | 7.04 | 13.74 |
63 | 25 | 25 | 32.31 | 35 | 11.09 | 5.96 | 6.2 | 14.98 |
64 | 26 | 26 | 28.58 | 42.37 | 11.47 | 7.12 | 5.12 | 14.88 |
65 | 27 | 27 | 34.05 | 31.17 | 16.04 | 6.56 | 8.32 | 11.36 |
66 | 28 | 28 | 33.22 | 36.88 | 14.92 | 7.62 | 7.7 | 13.96 |
67 | 29 | 29 | 38.26 | 40.82 | 12.48 | 5.08 | 5.38 | 13.56 |
68 | 30 | 30 | 48.05 | 32.14 | 14.93 | 4.7 | 8.62 | 13.28 |
69 | 31 | 31 | 34.53 | 44.25 | 16 | 7.52 | 6.42 | 13.28 |
70 | 32 | 32 | 50.69 | 39.02 | 13.52 | 4.36 | 6.78 | 14.74 |
71 | 33 | 33 | 45.64 | 40.19 | 16.3 | 5.56 | 7.38 | 13.34 |
72 | 34 | 34 | 46.53 | 42.92 | 16.19 | 5.84 | 7.34 | 14.44 |
73 | 35 | 35 | 42.21 | 41.57 | 21.11 | 6.84 | 7.96 | 11.04 |
74 | 36 | 36 | 49.25 | 47.94 | 15.98 | 4.9 | 5.78 | 13.16 |
75 | 37 | 37 | 41.9 | 49.11 | 20.65 | 7.32 | 6.94 | 12.02 |
76 | 38 | 38 | 47.92 | 46.48 | 20.82 | 7.14 | 8.46 | 13.6 |
77 | 39 | 39 | 52.59 | 46.39 | 20.5 | 6.22 | 8.24 | 13.46 |
78 | 40 | 40 | 51.43 | 48.54 | 21.65 | 6.98 | 8.54 | 13.8 |
79 | 15 | 15 | 11.04 | 20.7 | 14.13 | 12.28 | 6.7 | 6.56 |
80 | 16 | 16 | 10.98 | 23.28 | 15.45 | 13.94 | 6.58 | 6.66 |
81 | 17 | 17 | 10.75 | 33.22 | 12.2 | 14.46 | 4.38 | 8.9 |
82 | 18 | 18 | 14.05 | 27.76 | 13.28 | 11.66 | 5.98 | 8.9 |
83 | 19 | 19 | 13.38 | 25.62 | 19.79 | 12.74 | 6.78 | 5.74 |
84 | 20 | 20 | 15.31 | 29.6 | 16.07 | 12.66 | 6.66 | 8.54 |
85 | 21 | 21 | 16.39 | 30.39 | 16.96 | 11.98 | 6.62 | 8.22 |
86 | 22 | 22 | 14.59 | 41.42 | 15.5 | 13.5 | 4.52 | 8.98 |
87 | 23 | 23 | 18 | 30.41 | 21.13 | 11.06 | 6.82 | 6.54 |
88 | 24 | 24 | 15.5 | 36.7 | 23.57 | 14.72 | 6.1 | 6.42 |
89 | 25 | 25 | 20.65 | 31.3 | 23.08 | 11.36 | 7.96 | 7.12 |
90 | 26 | 26 | 19.94 | 38.03 | 21.19 | 11.22 | 6 | 7.46 |
91 | 27 | 27 | 18.93 | 41.54 | 23.27 | 14.96 | 6.78 | 8.38 |
92 | 28 | 28 | 18.07 | 37.78 | 33.31 | 14.38 | 6.9 | 5 |
93 | 29 | 29 | 18.5 | 45.25 | 28.15 | 12.98 | 5.18 | 5.66 |
94 | 30 | 30 | 20.97 | 43.6 | 28.23 | 11.72 | 5.66 | 5.9 |
95 | 31 | 31 | 20.38 | 46.33 | 30.65 | 14.3 | 6.22 | 6.32 |
96 | 32 | 32 | 23.31 | 43.84 | 30.95 | 14.46 | 7.86 | 7.4 |
97 | 33 | 33 | 22.41 | 55.79 | 26.04 | 13.56 | 5.3 | 8.12 |
98 | 34 | 34 | 24.44 | 47.4 | 32.65 | 14.76 | 7.74 | 7.5 |
99 | 35 | 35 | 22.57 | 58.63 | 30.18 | 13.56 | 5.04 | 6.88 |
100 | 36 | 36 | 24.72 | 48.42 | 39.1 | 13.78 | 7.14 | 5.74 |
101 | 37 | 37 | 24.55 | 54.35 | 37.02 | 12.48 | 5.6 | 5.5 |
102 | 38 | 38 | 22 | 67.19 | 35.66 | 14.58 | 4.48 | 5.9 |
103 | 39 | 39 | 31.23 | 47.83 | 38.86 | 11.3 | 7.82 | 6.24 |
104 | 40 | 40 | 29.44 | 59.71 | 33.57 | 11.5 | 5.72 | 7.04 |
105 | 15 | 15 | 20.52 | 13.51 | 11.66 | 7.96 | 14.88 | 11.06 |
106 | 16 | 16 | 24.04 | 14.08 | 11.47 | 7.42 | 15.92 | 12.66 |
107 | 17 | 17 | 21.92 | 16.35 | 12.87 | 8.8 | 14.2 | 11.76 |
108 | 18 | 18 | 22.91 | 17.64 | 13.45 | 9.46 | 14.7 | 12.64 |
109 | 19 | 19 | 25.43 | 17.81 | 14.27 | 8.4 | 14.6 | 11.84 |
110 | 20 | 20 | 23.89 | 18.92 | 17.15 | 10.22 | 15.36 | 10.78 |
111 | 21 | 21 | 26.2 | 21.17 | 15.44 | 9.26 | 13.6 | 12.32 |
112 | 22 | 22 | 28.13 | 20.73 | 17.37 | 9.18 | 15.02 | 11.56 |
113 | 23 | 23 | 29.79 | 19.84 | 20.53 | 8.44 | 15.56 | 9.34 |
114 | 24 | 24 | 28.42 | 24.16 | 18.91 | 10.28 | 14.22 | 11.86 |
115 | 25 | 25 | 32.68 | 20.95 | 23.12 | 8.7 | 16.78 | 9.34 |
116 | 26 | 26 | 33.38 | 24.88 | 19.94 | 9.5 | 15.34 | 12.44 |
117 | 27 | 27 | 37.16 | 24.53 | 20.55 | 7.74 | 14.42 | 11.1 |
118 | 28 | 28 | 33.27 | 29.52 | 20.47 | 10.26 | 13.5 | 12.98 |
119 | 29 | 29 | 37.98 | 24.85 | 25.8 | 8.72 | 16.42 | 9.82 |
120 | 30 | 30 | 41.68 | 28.26 | 21.34 | 7.3 | 13.18 | 11.46 |
121 | 31 | 31 | 38.16 | 28.47 | 26.77 | 8.84 | 14.26 | 9.58 |
122 | 32 | 32 | 39.51 | 29.69 | 27.09 | 9.34 | 14.94 | 10.4 |
123 | 33 | 33 | 39.34 | 29.76 | 30.61 | 10.36 | 16.44 | 9.94 |
124 | 34 | 34 | 48.36 | 32.09 | 23.42 | 7.54 | 13.96 | 12.64 |
125 | 35 | 35 | 47.45 | 33.01 | 25.62 | 7.88 | 13.8 | 11.62 |
126 | 36 | 36 | 45.11 | 33.73 | 29.44 | 9 | 14.48 | 10.62 |
127 | 37 | 37 | 51.88 | 30.87 | 31.45 | 7.66 | 16.12 | 9.86 |
128 | 38 | 38 | 47.05 | 37.21 | 29.48 | 9.4 | 14.16 | 11.64 |
129 | 39 | 39 | 46.61 | 38.86 | 30.83 | 9.92 | 14.04 | 11.52 |
130 | 40 | 40 | 53.99 | 32.73 | 36.86 | 8.06 | 16.6 | 9.02 |
131 | 15 | 15 | 13.61 | 21.75 | 9.84 | 12.82 | 8.44 | 13.42 |
132 | 16 | 16 | 15.16 | 24.15 | 9.39 | 12.38 | 8.18 | 15.54 |
133 | 17 | 17 | 16.88 | 22.52 | 11.24 | 11.72 | 9.54 | 13.5 |
134 | 18 | 18 | 18.4 | 27.01 | 9.67 | 10.06 | 7.32 | 15.32 |
135 | 19 | 19 | 19.32 | 26.91 | 11.1 | 10.52 | 8.14 | 14.42 |
136 | 20 | 20 | 17.82 | 31.62 | 11.93 | 12.64 | 7.36 | 14.48 |
137 | 21 | 21 | 22.13 | 27.92 | 12.8 | 12.22 | 10.62 | 16.62 |
138 | 22 | 22 | 22.89 | 28.18 | 14.36 | 11.78 | 10.54 | 14.56 |
139 | 23 | 23 | 22.42 | 35.43 | 12.65 | 12.14 | 8.1 | 17 |
140 | 24 | 24 | 24.15 | 31.36 | 15.91 | 11.28 | 9.48 | 13.16 |
141 | 25 | 25 | 29.02 | 32.29 | 14.06 | 9.88 | 9.96 | 16.56 |
142 | 26 | 26 | 24.46 | 36.55 | 16.97 | 12.04 | 8.58 | 13.22 |
143 | 27 | 27 | 27.74 | 38.45 | 15.46 | 9.74 | 7.58 | 13.84 |
144 | 28 | 28 | 29.69 | 38.66 | 16.07 | 11.34 | 9.5 | 16.68 |
145 | 29 | 29 | 28.22 | 45.45 | 15.63 | 11.68 | 7.62 | 16.72 |
146 | 30 | 30 | 34.18 | 42.48 | 15.23 | 9.04 | 8 | 16.72 |
147 | 31 | 31 | 30.46 | 44.29 | 18.71 | 12.94 | 9.52 | 16.4 |
148 | 32 | 32 | 29.49 | 46.49 | 20.51 | 12.2 | 8.16 | 13.36 |
149 | 33 | 33 | 32.79 | 45.69 | 20.5 | 10.86 | 8.4 | 13.48 |
150 | 34 | 34 | 35.62 | 43.6 | 21.97 | 11.32 | 10.2 | 14.28 |
151 | 35 | 35 | 36.87 | 43.78 | 23.26 | 10.6 | 9.9 | 13.02 |
152 | 36 | 36 | 34.82 | 52.34 | 21.64 | 12.86 | 9.1 | 16.08 |
153 | 37 | 37 | 45.03 | 45.17 | 21.22 | 9.52 | 10.84 | 16.48 |
154 | 38 | 38 | 41.18 | 49.77 | 22.83 | 11.72 | 10.72 | 16.76 |
155 | 39 | 39 | 43.77 | 47.76 | 24.64 | 9.54 | 9.84 | 13.4 |
156 | 40 | 40 | 39.23 | 57.91 | 23.76 | 10.82 | 7.82 | 13.94 |
157 | 15 | 15 | 11.64 | 18.18 | 15.94 | 15.64 | 10.58 | 7.72 |
158 | 16 | 16 | 12.31 | 21.26 | 14.96 | 15.22 | 9.14 | 8.64 |
159 | 17 | 17 | 14.06 | 19.2 | 18.38 | 16.08 | 12.74 | 8.38 |
160 | 18 | 18 | 14.77 | 20.55 | 19.36 | 15.74 | 12.2 | 8.18 |
161 | 19 | 19 | 15.15 | 23.39 | 18.94 | 16.02 | 10.98 | 8.8 |
162 | 20 | 20 | 16.17 | 23.04 | 21.68 | 15.9 | 11.98 | 8.04 |
163 | 21 | 21 | 16.83 | 25.01 | 21.87 | 16 | 11.48 | 8.4 |
164 | 22 | 22 | 19.79 | 27.44 | 18.13 | 13.24 | 10.3 | 10.48 |
165 | 23 | 23 | 17.02 | 27.88 | 26.24 | 16.36 | 10.46 | 7.02 |
166 | 24 | 24 | 20.85 | 26.96 | 24.37 | 13.02 | 11 | 7.74 |
167 | 25 | 25 | 22.39 | 27.34 | 25.35 | 14.32 | 12.94 | 8.84 |
168 | 26 | 26 | 21.45 | 32.51 | 24.1 | 14.1 | 9.88 | 8.78 |
169 | 27 | 27 | 21.85 | 31.44 | 28.73 | 16.62 | 12.38 | 8.6 |
170 | 28 | 28 | 23.34 | 32.51 | 28.66 | 16.44 | 12.72 | 9.22 |
171 | 29 | 29 | 23.9 | 36.68 | 26.44 | 16.02 | 11.06 | 10.16 |
172 | 30 | 30 | 21.83 | 37.86 | 32.95 | 16.86 | 10.08 | 7.42 |
173 | 31 | 31 | 26 | 33.09 | 35.94 | 15.08 | 12.98 | 7.36 |
174 | 32 | 32 | 26.53 | 40.07 | 29.38 | 14.24 | 10.02 | 9.02 |
175 | 33 | 33 | 27.89 | 42.77 | 28 | 15.16 | 10.48 | 10.78 |
176 | 34 | 34 | 28.32 | 42.39 | 31.22 | 13.5 | 9.6 | 8.6 |
177 | 35 | 35 | 28 | 47.2 | 30.26 | 16.04 | 9.92 | 10.46 |
178 | 36 | 36 | 28.4 | 43.99 | 36.89 | 16.34 | 11.16 | 8.58 |
179 | 37 | 37 | 33.92 | 40.3 | 36.51 | 13.16 | 12.28 | 8.62 |
180 | 38 | 38 | 29.88 | 48.05 | 37.11 | 16.8 | 10.98 | 9.3 |
181 | 39 | 39 | 32.34 | 50.37 | 34.18 | 15.12 | 10.26 | 10.12 |
182 | 40 | 40 | 36.25 | 43.56 | 40.16 | 14.12 | 13 | 8.94 |
183 | 15 | 15 | 15.74 | 17.39 | 11.19 | 10.76 | 10.94 | 11.48 |
184 | 16 | 16 | 15.44 | 19 | 12.88 | 13.96 | 12.5 | 12.34 |
185 | 17 | 17 | 18.66 | 19.75 | 11.92 | 10.5 | 11.22 | 12.7 |
186 | 18 | 18 | 18.71 | 20.55 | 13.92 | 13.56 | 13.88 | 13.72 |
187 | 19 | 19 | 19.29 | 22.19 | 14.65 | 11.14 | 10.8 | 11 |
188 | 20 | 20 | 23.25 | 21.61 | 14.49 | 10.5 | 13.08 | 13.08 |
189 | 21 | 21 | 20.59 | 23.01 | 18.69 | 13.24 | 13.28 | 10.6 |
190 | 22 | 22 | 22.12 | 25.38 | 17.5 | 10.84 | 10.54 | 10.2 |
191 | 23 | 23 | 23.44 | 26.69 | 17.81 | 10.66 | 10.46 | 10.52 |
192 | 24 | 24 | 25.91 | 27.18 | 17.86 | 11.42 | 12.34 | 12.64 |
193 | 25 | 25 | 27.18 | 25.73 | 21.31 | 11.4 | 13.9 | 10.84 |
194 | 26 | 26 | 25.31 | 31.73 | 19.87 | 13.36 | 11.7 | 12.68 |
195 | 27 | 27 | 29.34 | 30.8 | 19.7 | 11.6 | 12.52 | 13.24 |
196 | 28 | 28 | 27.76 | 32.57 | 22.43 | 10.94 | 10.36 | 10.04 |
197 | 29 | 29 | 30.24 | 34.52 | 20.98 | 10.96 | 10.72 | 12.04 |
198 | 30 | 30 | 34.09 | 34.2 | 20.69 | 10.1 | 11.5 | 12.98 |
199 | 31 | 31 | 33.56 | 35.14 | 22.95 | 12.34 | 13.36 | 13.78 |
200 | 32 | 32 | 38.02 | 34.14 | 22.98 | 10.16 | 13.18 | 13.12 |
201 | 33 | 33 | 31.9 | 39.1 | 26.6 | 11.94 | 10.74 | 10.56 |
202 | 34 | 34 | 32.69 | 38.37 | 29.71 | 13.86 | 13.12 | 11.08 |
203 | 35 | 35 | 34.61 | 42.03 | 26.82 | 12.38 | 11.26 | 11.94 |
204 | 36 | 36 | 37.8 | 38.96 | 29.75 | 11.66 | 12.86 | 11.04 |
205 | 37 | 37 | 42.28 | 41.96 | 25.53 | 10.72 | 12.36 | 13.86 |
206 | 38 | 38 | 37.07 | 48.41 | 27.2 | 12.72 | 10.62 | 13.08 |
207 | 39 | 39 | 47.07 | 39.88 | 29.26 | 10.08 | 14 | 12.6 |
208 | 40 | 40 | 41.59 | 44.86 | 31.75 | 11.84 | 12.38 | 11.62 |
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