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 | -0.000129 | 0 | -0.347 | lnL | 0.350223 | 0 | 2774.702 | lnK | 0.40022 | 0 | 3082.16 | lnM | 0.249601 | 0 | 2234.647 | lnLlnL | -0.020126 | 0 | -915.786 | lnKlnK | -0.021121 | 0 | -935.543 | lnMlnM | -0.017076 | 0 | -777.688 | lnLlnK | 0.024095 | 0 | 688.235 | lnLlnM | 0.016132 | 0 | 479.73 | lnKlnM | 0.018095 | 0 | 548.985 |
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 | 19.71 | 15.39 | 10.06 | 6.28 | 9.6 | 9.9 |
2 | 16 | 16 | 16.61 | 20 | 10.85 | 7.6 | 6.98 | 8.96 |
3 | 17 | 17 | 18.86 | 17.08 | 14.63 | 7.04 | 9.04 | 6.78 |
4 | 18 | 18 | 16.59 | 24.63 | 12.55 | 9.92 | 7.12 | 9.84 |
5 | 19 | 19 | 20.65 | 21.3 | 14.23 | 7.1 | 7.82 | 7.86 |
6 | 20 | 20 | 22 | 19.82 | 17.81 | 7.12 | 9.2 | 6.52 |
7 | 21 | 21 | 22.12 | 24.67 | 15.29 | 7.8 | 7.84 | 8.6 |
8 | 22 | 22 | 18.34 | 30.41 | 17.32 | 9.74 | 6.14 | 7.44 |
9 | 23 | 23 | 24.11 | 24.9 | 19.05 | 8 | 8.8 | 7.54 |
10 | 24 | 24 | 27.44 | 25.93 | 17.77 | 7.76 | 9.48 | 9.24 |
11 | 25 | 25 | 24.94 | 28.72 | 20.23 | 8.12 | 7.86 | 7.42 |
12 | 26 | 26 | 25.25 | 32.46 | 19.28 | 9.48 | 8.06 | 9.3 |
13 | 27 | 27 | 24.75 | 32.41 | 22.96 | 8.82 | 7.34 | 6.88 |
14 | 28 | 28 | 28.43 | 32.26 | 22.03 | 7.84 | 7.72 | 7.56 |
15 | 29 | 29 | 26.02 | 37.66 | 22.59 | 9.06 | 6.7 | 7.64 |
16 | 30 | 30 | 34.13 | 33.56 | 21.23 | 6.76 | 7.88 | 8.44 |
17 | 31 | 31 | 30.52 | 37.16 | 23.96 | 8.36 | 7.58 | 7.94 |
18 | 32 | 32 | 36.65 | 35.09 | 23.13 | 6.5 | 7.82 | 7.98 |
19 | 33 | 33 | 34.2 | 39.92 | 23.51 | 7.62 | 7.26 | 8.46 |
20 | 34 | 34 | 33.45 | 37.87 | 29.38 | 9.76 | 9.64 | 8.12 |
21 | 35 | 35 | 38.49 | 38.37 | 26.69 | 7.06 | 8.1 | 7.76 |
22 | 36 | 36 | 42.55 | 38.4 | 26.04 | 7.12 | 9.18 | 9.06 |
23 | 37 | 37 | 36.4 | 45.31 | 27.74 | 9.78 | 8.64 | 9.62 |
24 | 38 | 38 | 37.22 | 46.27 | 28.89 | 8.5 | 7.52 | 8.18 |
25 | 39 | 39 | 40.61 | 38.1 | 38.28 | 8.02 | 9.88 | 6.14 |
26 | 40 | 40 | 48.27 | 42.91 | 27.94 | 7.3 | 9.58 | 9.92 |
27 | 15 | 15 | 18.86 | 12.57 | 14.61 | 8.04 | 14.82 | 7.76 |
28 | 16 | 16 | 22.01 | 12.52 | 15.47 | 5.4 | 11.98 | 5.84 |
29 | 17 | 17 | 21 | 13.03 | 19.69 | 6.54 | 13.1 | 5.04 |
30 | 18 | 18 | 19.14 | 16.49 | 19.03 | 8.84 | 12.04 | 6.36 |
31 | 19 | 19 | 24.89 | 13.62 | 22.8 | 5.76 | 13.38 | 4.56 |
32 | 20 | 20 | 21.73 | 15.98 | 25.85 | 7.9 | 12.96 | 4.6 |
33 | 21 | 21 | 31.05 | 16.61 | 18.19 | 5.64 | 13.46 | 7.56 |
34 | 22 | 22 | 28.11 | 17.9 | 22 | 6.8 | 13.22 | 6.48 |
35 | 23 | 23 | 33.83 | 16.89 | 22.67 | 5.14 | 13.3 | 5.88 |
36 | 24 | 24 | 29.05 | 18.69 | 27.82 | 6.28 | 12.06 | 4.72 |
37 | 25 | 25 | 32.52 | 20.86 | 23.42 | 6.26 | 12.06 | 6.58 |
38 | 26 | 26 | 30.91 | 19.77 | 32.21 | 7.2 | 13.92 | 4.9 |
39 | 27 | 27 | 29.61 | 22.38 | 32.33 | 8.32 | 13.22 | 5.36 |
40 | 28 | 28 | 39.45 | 19.07 | 33.27 | 5.5 | 14.78 | 4.8 |
41 | 29 | 29 | 34.12 | 21.65 | 37.68 | 7.08 | 13.82 | 4.5 |
42 | 30 | 30 | 35.43 | 22.56 | 38.28 | 6.44 | 12.52 | 4.2 |
43 | 31 | 31 | 40.14 | 23.15 | 35.2 | 6.86 | 14.98 | 5.72 |
44 | 32 | 32 | 36.45 | 25.7 | 38.32 | 8.7 | 15 | 5.86 |
45 | 33 | 33 | 37.72 | 26 | 40.64 | 7.06 | 12.5 | 4.62 |
46 | 34 | 34 | 41.2 | 28.89 | 34 | 6.5 | 11.28 | 5.82 |
47 | 35 | 35 | 49.13 | 27.15 | 33.45 | 6.36 | 14.6 | 7.14 |
48 | 36 | 36 | 56.09 | 27.02 | 31.78 | 5.18 | 13.98 | 7.22 |
49 | 37 | 36.99 | 36.78 | 29.88 | 53.5 | 8.92 | 13.02 | 4.1 |
50 | 38 | 38 | 54.97 | 32.56 | 29.77 | 5.32 | 11.26 | 7.82 |
51 | 39 | 39 | 42.07 | 37.59 | 37.26 | 8.86 | 11.56 | 7.3 |
52 | 40 | 40 | 43.94 | 35.75 | 42.1 | 8.84 | 12.88 | 6.64 |
53 | 15 | 15 | 16.92 | 21.67 | 7.5 | 7.42 | 6.34 | 13.8 |
54 | 16 | 16 | 21.62 | 18.67 | 8.61 | 5.3 | 7.2 | 11.18 |
55 | 17 | 17 | 18.42 | 22.97 | 9.78 | 7.76 | 6.84 | 11.68 |
56 | 18 | 18 | 27.2 | 19.18 | 9.65 | 5 | 8.62 | 12.08 |
57 | 19 | 19 | 26.49 | 21.86 | 10.06 | 5.6 | 8.02 | 12.5 |
58 | 20 | 20 | 28.4 | 25.36 | 9.07 | 5.04 | 6.58 | 13.78 |
59 | 21 | 21 | 26.42 | 27.08 | 10.73 | 6.7 | 7.44 | 13.82 |
60 | 22 | 22 | 27.47 | 25.47 | 13.18 | 7.06 | 8.82 | 11.96 |
61 | 23 | 23 | 37.72 | 24.65 | 11.14 | 4.72 | 8.9 | 14.16 |
62 | 24 | 24 | 26.67 | 32.8 | 13.18 | 7.88 | 7.06 | 12.9 |
63 | 25 | 25 | 41.07 | 25.92 | 12.66 | 4.46 | 8.76 | 12.72 |
64 | 26 | 26 | 45.02 | 25.9 | 13.13 | 4 | 8.76 | 12.18 |
65 | 27 | 27 | 32.93 | 37.77 | 12.84 | 6.6 | 6.42 | 14.28 |
66 | 28 | 28 | 38.84 | 35.41 | 13.1 | 4.38 | 5.58 | 11.24 |
67 | 29 | 29 | 43.91 | 32.06 | 14.74 | 5.1 | 8.44 | 13.16 |
68 | 30 | 30 | 30.68 | 44.2 | 16.5 | 7.42 | 5.52 | 11 |
69 | 31 | 31 | 40.51 | 38.48 | 15.95 | 6.64 | 8.06 | 14.2 |
70 | 32 | 32 | 43.38 | 36.89 | 17.46 | 6.48 | 8.96 | 13.5 |
71 | 33 | 33 | 42.6 | 40.71 | 17.37 | 6.52 | 7.86 | 13.38 |
72 | 34 | 34 | 42.8 | 42.83 | 17.92 | 5.64 | 6.44 | 11.22 |
73 | 35 | 35 | 40.04 | 47.76 | 18.58 | 6.74 | 6.26 | 11.88 |
74 | 36 | 36 | 41.17 | 47.17 | 20.21 | 7.6 | 7.4 | 12.54 |
75 | 37 | 37 | 53.12 | 42.21 | 19.14 | 5.14 | 7.7 | 12.2 |
76 | 38 | 38 | 50.4 | 46.37 | 19.67 | 5.22 | 6.58 | 11.28 |
77 | 39 | 39 | 53.51 | 50.68 | 17.81 | 5.68 | 6.92 | 14.8 |
78 | 40 | 40 | 52.8 | 51.92 | 19.14 | 6.16 | 7.18 | 14.52 |
79 | 15 | 15 | 9.46 | 27.17 | 11.97 | 13.56 | 4.48 | 7.34 |
80 | 16 | 16 | 10.4 | 25.15 | 14.94 | 11.28 | 4.56 | 5.26 |
81 | 17 | 17 | 12.31 | 28.48 | 12.41 | 11.5 | 4.9 | 8.14 |
82 | 18 | 18 | 12.94 | 24.13 | 18.34 | 13.08 | 7.18 | 6.2 |
83 | 19 | 19 | 14.28 | 28.46 | 15.41 | 13.08 | 6.64 | 8.54 |
84 | 20 | 20 | 14.62 | 29.4 | 17.33 | 11.62 | 5.84 | 6.8 |
85 | 21 | 21 | 13.38 | 28.99 | 24.58 | 14.6 | 6.72 | 5.1 |
86 | 22 | 22 | 16.11 | 30.87 | 20.36 | 11.58 | 6.16 | 6.28 |
87 | 23 | 23 | 14.12 | 38.68 | 21.22 | 13.52 | 4.72 | 5.98 |
88 | 24 | 24 | 15.74 | 44.58 | 17.49 | 13.28 | 4.46 | 8.38 |
89 | 25 | 25 | 17.56 | 32.74 | 27.36 | 14.06 | 7.72 | 5.96 |
90 | 26 | 26 | 18.86 | 37.93 | 23.04 | 12.58 | 6.32 | 7.1 |
91 | 27 | 27 | 17.2 | 43.91 | 24.73 | 12.7 | 4.82 | 5.92 |
92 | 28 | 28 | 20.22 | 45.41 | 21.47 | 12.74 | 5.62 | 8.48 |
93 | 29 | 29 | 23.56 | 39.37 | 24.3 | 12.2 | 7.62 | 8.4 |
94 | 30 | 30 | 19.92 | 47.16 | 27.13 | 11.72 | 4.86 | 5.82 |
95 | 31 | 31 | 23.69 | 36.36 | 35.49 | 11.44 | 7.9 | 5.08 |
96 | 32 | 32 | 19.89 | 54.13 | 28.73 | 13.64 | 4.8 | 6.32 |
97 | 33 | 33 | 24.99 | 46.67 | 28.77 | 13.32 | 7.3 | 8.06 |
98 | 34 | 34 | 25.62 | 48.09 | 29.85 | 14.28 | 7.78 | 8.52 |
99 | 35 | 35 | 22.98 | 60.32 | 28.24 | 14.6 | 5.36 | 8.18 |
100 | 36 | 36 | 25.62 | 47.12 | 38.64 | 11.58 | 6.46 | 5.1 |
101 | 37 | 37 | 23.14 | 67.97 | 29.31 | 12.68 | 4.08 | 6.86 |
102 | 38 | 38 | 30.09 | 55.38 | 29.76 | 11.8 | 6.58 | 8.54 |
103 | 39 | 39 | 28.4 | 50.77 | 40.77 | 13.62 | 7.86 | 6.36 |
104 | 40 | 40 | 29.3 | 54.61 | 38.56 | 11.76 | 6.46 | 6.08 |
105 | 15 | 15 | 18.91 | 13.27 | 13.32 | 9.62 | 16.68 | 10.38 |
106 | 16 | 16 | 21.2 | 14.85 | 12.36 | 9.08 | 15.78 | 12.24 |
107 | 17 | 17 | 18.3 | 17.03 | 15.32 | 10.66 | 13.26 | 9.38 |
108 | 18 | 18 | 25.73 | 15.31 | 14.48 | 7.22 | 15.2 | 10.14 |
109 | 19 | 19 | 25.08 | 17.82 | 14.5 | 8.64 | 14.76 | 11.76 |
110 | 20 | 20 | 26.06 | 17.18 | 17.83 | 8.78 | 16.38 | 9.8 |
111 | 21 | 21 | 24.22 | 20.46 | 18.02 | 10.1 | 14.08 | 10.22 |
112 | 22 | 22 | 29.15 | 19.98 | 17.59 | 9.38 | 16.72 | 12.14 |
113 | 23 | 23 | 29.76 | 20.81 | 19.06 | 8.72 | 15.18 | 10.52 |
114 | 24 | 24 | 27.9 | 23.35 | 20.42 | 10.32 | 14.54 | 10.64 |
115 | 25 | 25 | 32.64 | 22.69 | 20.38 | 9.7 | 17 | 12.06 |
116 | 26 | 26 | 28.61 | 27.39 | 21.04 | 10.94 | 13.16 | 11.22 |
117 | 27 | 27 | 31.22 | 26.16 | 23.27 | 10.86 | 15.28 | 10.96 |
118 | 28 | 28 | 36.48 | 26.86 | 21 | 9.02 | 14.78 | 12.34 |
119 | 29 | 29 | 39.09 | 28.4 | 20.19 | 8.16 | 13.58 | 12.68 |
120 | 30 | 30 | 39.62 | 28.53 | 22.41 | 8.98 | 15.1 | 12.54 |
121 | 31 | 31 | 39.33 | 28.81 | 25.27 | 9.5 | 15.66 | 11.42 |
122 | 32 | 32 | 40.11 | 29.75 | 26.48 | 9.26 | 15.04 | 10.78 |
123 | 33 | 33 | 47.97 | 28.04 | 26.02 | 7.5 | 16.12 | 11 |
124 | 34 | 34 | 45.74 | 33.16 | 23.88 | 8.08 | 13.48 | 12.4 |
125 | 35 | 35 | 48.02 | 31.1 | 27.68 | 8.48 | 16.16 | 11.58 |
126 | 36 | 36 | 52.29 | 30.85 | 28.03 | 7.14 | 15.18 | 10.62 |
127 | 37 | 37 | 47.61 | 33.67 | 30.6 | 9.72 | 16.7 | 11.68 |
128 | 38 | 38 | 47.48 | 36.59 | 29.9 | 8.5 | 13.2 | 10.46 |
129 | 39 | 39 | 50.17 | 36.73 | 30.59 | 9.7 | 16 | 12.4 |
130 | 40 | 40 | 50.42 | 38.34 | 31.34 | 10.32 | 16.28 | 12.9 |
131 | 15 | 15 | 17.1 | 18.08 | 9.5 | 10.22 | 10.94 | 14.58 |
132 | 16 | 16 | 16.22 | 22.98 | 9.21 | 10.6 | 8.04 | 14.74 |
133 | 17 | 17 | 16.76 | 24.62 | 10.02 | 12.16 | 8.84 | 15.9 |
134 | 18 | 18 | 18.25 | 27.36 | 9.59 | 10.34 | 7.34 | 15.74 |
135 | 19 | 19 | 19.75 | 25.31 | 11.75 | 11.08 | 9.46 | 14.58 |
136 | 20 | 20 | 18.94 | 27.23 | 13.54 | 12.26 | 9.14 | 13 |
137 | 21 | 21 | 22 | 28.46 | 12.56 | 11.94 | 10.08 | 16.5 |
138 | 22 | 22 | 21.73 | 32.01 | 12.86 | 11.7 | 8.48 | 15.5 |
139 | 23 | 23 | 24.04 | 31.62 | 13.52 | 10.56 | 8.74 | 14.84 |
140 | 24 | 24 | 27.09 | 32.65 | 13 | 9.92 | 9.1 | 16.8 |
141 | 25 | 25 | 25.34 | 32.79 | 16.32 | 12.8 | 10.8 | 15.34 |
142 | 26 | 26 | 26.54 | 33.56 | 17.21 | 11.74 | 10.18 | 13.96 |
143 | 27 | 27 | 27.17 | 41.21 | 14.45 | 10.54 | 7.38 | 15.82 |
144 | 28 | 28 | 28.6 | 40.25 | 15.95 | 10.62 | 8.12 | 15.08 |
145 | 29 | 29 | 30.35 | 38.89 | 17.62 | 11.34 | 9.68 | 15.36 |
146 | 30 | 30 | 28.95 | 44.15 | 17.78 | 11.3 | 7.86 | 14.32 |
147 | 31 | 31 | 30.57 | 47.07 | 17.14 | 12.04 | 8.28 | 16.98 |
148 | 32 | 32 | 33.98 | 45.32 | 17.71 | 10.02 | 8.16 | 15.4 |
149 | 33 | 33 | 35.6 | 41.89 | 20.83 | 10.3 | 9.72 | 13.82 |
150 | 34 | 34 | 33.73 | 44.71 | 22.75 | 12.82 | 10.52 | 14.56 |
151 | 35 | 35 | 40.7 | 41.47 | 22.16 | 9.52 | 10.64 | 13.9 |
152 | 36 | 36 | 32.4 | 52.59 | 23.61 | 12.56 | 8.12 | 13.02 |
153 | 37 | 37 | 37.47 | 47.69 | 24.79 | 11.9 | 10.24 | 13.82 |
154 | 38 | 38 | 34.73 | 63.49 | 20.39 | 12.6 | 7.08 | 16.84 |
155 | 39 | 39 | 42.79 | 55.07 | 20.81 | 9.16 | 7.78 | 15.28 |
156 | 40 | 40 | 38.55 | 62.78 | 21.79 | 11.12 | 7.16 | 15.54 |
157 | 15 | 15 | 13.07 | 16.87 | 15.13 | 13.7 | 11.6 | 8.24 |
158 | 16 | 16 | 14.4 | 19.02 | 14.16 | 13.04 | 10.74 | 9.5 |
159 | 17 | 17 | 15.13 | 19.43 | 16.24 | 14.3 | 12.18 | 9.4 |
160 | 18 | 18 | 14.53 | 20.01 | 20.7 | 16.14 | 12.66 | 7.6 |
161 | 19 | 19 | 14.93 | 23.96 | 18.66 | 14.38 | 9.42 | 7.9 |
162 | 20 | 20 | 17.15 | 23.08 | 19.83 | 14.64 | 11.8 | 8.82 |
163 | 21 | 21 | 19.96 | 23.55 | 18.82 | 13.12 | 12.34 | 10.04 |
164 | 22 | 22 | 19.45 | 25.68 | 20.52 | 14.7 | 12.12 | 9.86 |
165 | 23 | 23 | 18.39 | 25.85 | 26.35 | 16.24 | 12.44 | 7.6 |
166 | 24 | 24 | 21.04 | 28.28 | 22.33 | 15.86 | 12.8 | 10.56 |
167 | 25 | 25 | 19.52 | 31.64 | 24.62 | 14.64 | 9.48 | 7.96 |
168 | 26 | 26 | 22.15 | 33.97 | 21.56 | 14.3 | 9.88 | 10.54 |
169 | 27 | 27 | 22.57 | 30.39 | 28.91 | 15.02 | 12.1 | 8.02 |
170 | 28 | 28 | 23.66 | 34.85 | 25.25 | 16.56 | 12 | 10.96 |
171 | 29 | 29 | 24.58 | 34.44 | 27.98 | 15.72 | 12.08 | 9.64 |
172 | 30 | 30 | 23.85 | 40.03 | 26.59 | 16.74 | 10.4 | 10.52 |
173 | 31 | 31 | 27.74 | 34.96 | 30 | 13.14 | 11.44 | 8.56 |
174 | 32 | 32 | 25.3 | 36.11 | 37.04 | 15.74 | 11.84 | 7.18 |
175 | 33 | 33 | 29.32 | 41.01 | 27.81 | 14.02 | 10.8 | 10.66 |
176 | 34 | 34 | 29.99 | 41.21 | 30.04 | 14.14 | 11.12 | 10.08 |
177 | 35 | 35 | 28.95 | 43.46 | 32.67 | 13.04 | 9.24 | 8.08 |
178 | 36 | 36 | 27.99 | 47.19 | 33.83 | 14.56 | 9 | 8.32 |
179 | 37 | 37 | 30.51 | 50.48 | 30.14 | 14.24 | 9 | 10.32 |
180 | 38 | 38 | 31.26 | 43.25 | 40.91 | 16.56 | 12.92 | 8.62 |
181 | 39 | 39 | 30.67 | 48.72 | 38.78 | 14.54 | 9.64 | 7.88 |
182 | 40 | 40 | 35.33 | 46.63 | 37.44 | 13.1 | 10.8 | 8.74 |
183 | 15 | 15 | 15.58 | 16.89 | 11.85 | 11.3 | 11.74 | 11.14 |
184 | 16 | 16 | 16.35 | 18.01 | 12.92 | 13.08 | 13.34 | 12.32 |
185 | 17 | 17 | 16.71 | 20.34 | 13.2 | 12.68 | 11.5 | 11.96 |
186 | 18 | 18 | 20.59 | 20.38 | 12.43 | 10.56 | 12.22 | 13.66 |
187 | 19 | 19 | 21.14 | 20.03 | 15.14 | 10.1 | 12.3 | 10.68 |
188 | 20 | 20 | 19.8 | 23.21 | 16.1 | 13.96 | 13.24 | 12.72 |
189 | 21 | 21 | 19.56 | 28.52 | 14.58 | 13.86 | 10.16 | 13.98 |
190 | 22 | 22 | 22.35 | 26.29 | 16.38 | 12.18 | 11.5 | 12.54 |
191 | 23 | 23 | 20.99 | 29.61 | 17.73 | 13.82 | 10.54 | 12.04 |
192 | 24 | 24 | 26.74 | 27.07 | 17.24 | 10.74 | 12.1 | 12.86 |
193 | 25 | 25 | 23.38 | 30.35 | 20.33 | 13.56 | 11.4 | 11.42 |
194 | 26 | 26 | 26.33 | 29.61 | 20.89 | 13.58 | 13.52 | 12.74 |
195 | 27 | 27 | 29.45 | 31.39 | 19.07 | 11.32 | 12 | 13.48 |
196 | 28 | 28 | 28.33 | 32.23 | 22.16 | 12.1 | 11.88 | 11.54 |
197 | 29 | 29 | 29.68 | 32.07 | 24.02 | 12.9 | 13.46 | 11.82 |
198 | 30 | 30 | 33.33 | 31.12 | 24.54 | 10.72 | 13.28 | 10.98 |
199 | 31 | 31 | 31.79 | 34.52 | 25.32 | 12.34 | 12.8 | 11.52 |
200 | 32 | 32 | 33.27 | 36.26 | 25 | 10.34 | 10.68 | 10.34 |
201 | 33 | 33 | 32.84 | 39.99 | 24.74 | 13.26 | 12.02 | 13.22 |
202 | 34 | 34 | 30.89 | 40.72 | 29.36 | 13.9 | 11.48 | 10.54 |
203 | 35 | 35 | 39.46 | 36.21 | 28.19 | 10.22 | 12.92 | 10.84 |
204 | 36 | 36 | 34.54 | 46.21 | 26.05 | 12.62 | 10.24 | 12.56 |
205 | 37 | 37 | 39.46 | 39.9 | 30.12 | 11.88 | 13.4 | 11.66 |
206 | 38 | 38 | 38.86 | 46.63 | 26.99 | 12.6 | 11.62 | 13.82 |
207 | 39 | 39 | 44.52 | 38.91 | 32.69 | 10.38 | 13.9 | 10.66 |
208 | 40 | 40 | 44.3 | 43.84 | 30.23 | 10.7 | 12.38 | 11.98 |
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