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
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 | -0.000319 | 0 | -0.902 | lnL | 0.350422 | 0 | 2938.326 | lnK | 0.39997 | 0 | 3008.108 | lnM | 0.249792 | 0 | 2328.377 | lnLlnL | -0.020164 | 0 | -895.838 | lnKlnK | -0.021045 | 0 | -993.666 | lnMlnM | -0.017177 | 0 | -811.05 | lnLlnK | 0.024009 | 0 | 690.387 | lnLlnM | 0.016243 | 0 | 503.849 | lnKlnM | 0.018105 | 0 | 545.776 |
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 | 13.6 | 18.92 | 12.02 | 8.18 | 6.34 | 6.76 |
2 | 16 | 16 | 18.23 | 16.64 | 12.61 | 7.62 | 9.7 | 8.4 |
3 | 17 | 17 | 16.28 | 22.39 | 11.88 | 9.32 | 7.32 | 9.64 |
4 | 18 | 18 | 18.03 | 19.45 | 15.89 | 9.24 | 9.66 | 7.66 |
5 | 19 | 19 | 21.89 | 18.87 | 15.84 | 6.7 | 9.12 | 7 |
6 | 20 | 20 | 24.34 | 20.71 | 14.57 | 6.86 | 9.48 | 8.96 |
7 | 21 | 21 | 21.38 | 23.5 | 17.19 | 8.06 | 8.24 | 7.44 |
8 | 22 | 22 | 22.82 | 24.3 | 17.92 | 7.5 | 7.96 | 7.12 |
9 | 23 | 23 | 22.66 | 30.46 | 15.37 | 8.6 | 6.94 | 9.7 |
10 | 24 | 24 | 25.84 | 25.96 | 19.2 | 7.46 | 8.48 | 7.56 |
11 | 25 | 25 | 26.57 | 28.8 | 18.51 | 8.62 | 8.96 | 9.42 |
12 | 26 | 26 | 24.53 | 30.48 | 22.02 | 9.74 | 8.62 | 7.9 |
13 | 27 | 27 | 27.94 | 28.08 | 24.21 | 7.5 | 8.52 | 6.34 |
14 | 28 | 28 | 29.97 | 31.19 | 21.6 | 8.86 | 9.66 | 9.3 |
15 | 29 | 29 | 31.55 | 34.41 | 19.95 | 7.46 | 7.7 | 9.14 |
16 | 30 | 30 | 30.56 | 31.8 | 26.68 | 8.4 | 9.16 | 7.04 |
17 | 31 | 31 | 35.91 | 32.34 | 23.8 | 6.28 | 8.12 | 7.28 |
18 | 32 | 32 | 39.4 | 36.45 | 19.97 | 6.18 | 7.74 | 9.82 |
19 | 33 | 33 | 34.83 | 41.17 | 21.95 | 7.84 | 7.36 | 9.64 |
20 | 34 | 34 | 32.41 | 36.58 | 32.38 | 8.84 | 8.76 | 6.32 |
21 | 35 | 35 | 31.5 | 44.67 | 27.85 | 8.26 | 6.26 | 6.82 |
22 | 36 | 36 | 36.09 | 47.43 | 23.7 | 8.52 | 7.06 | 9.98 |
23 | 37 | 37 | 41.73 | 39.08 | 28.87 | 7.84 | 9.68 | 8.64 |
24 | 38 | 38 | 40.5 | 46.91 | 25.35 | 7.26 | 6.98 | 9 |
25 | 39 | 39 | 44.09 | 44.28 | 27.24 | 6.42 | 7.3 | 8.08 |
26 | 40 | 40 | 46.99 | 42.86 | 28.96 | 7.1 | 9.04 | 8.96 |
27 | 15 | 15 | 17.33 | 13.22 | 15.07 | 7.46 | 11.72 | 6.28 |
28 | 16 | 16 | 21.54 | 12.43 | 16.13 | 5.06 | 11.04 | 5.08 |
29 | 17 | 17 | 21.3 | 14.35 | 16.43 | 6.62 | 12.04 | 6.42 |
30 | 18 | 18 | 25.47 | 14.62 | 15.78 | 5.74 | 12.6 | 7.2 |
31 | 19 | 19 | 21.71 | 16.94 | 19.03 | 7.96 | 12.18 | 6.64 |
32 | 20 | 20 | 31.03 | 15.48 | 16.87 | 5.06 | 13.1 | 7.4 |
33 | 21 | 21 | 31.36 | 15.23 | 20.71 | 5.5 | 14.7 | 6.4 |
34 | 22 | 22 | 25.36 | 17.33 | 26.79 | 6.9 | 12.34 | 4.62 |
35 | 23 | 23 | 27.96 | 18.72 | 24.6 | 7.66 | 14.04 | 6.36 |
36 | 24 | 24 | 32.01 | 20.12 | 21.6 | 6.98 | 13.78 | 7.92 |
37 | 25 | 25 | 31.05 | 20.6 | 25.43 | 6.62 | 12.26 | 5.98 |
38 | 26 | 26 | 26.75 | 22.63 | 31.38 | 8.68 | 12.08 | 5.14 |
39 | 27 | 27 | 33.91 | 21.17 | 29.41 | 5.92 | 11.78 | 5 |
40 | 28 | 28 | 29.61 | 23.18 | 35.4 | 7.36 | 11.22 | 4.26 |
41 | 29 | 29 | 41.56 | 24.01 | 24.28 | 5.34 | 11.64 | 7.18 |
42 | 30 | 30 | 36.7 | 25.4 | 29.79 | 6.88 | 12.12 | 6.28 |
43 | 31 | 31 | 35.37 | 22.68 | 43.63 | 7.42 | 14.3 | 4.14 |
44 | 32 | 32 | 36.84 | 23.99 | 42.54 | 7.66 | 14.5 | 4.62 |
45 | 33 | 33 | 42.34 | 26.59 | 33.36 | 7.36 | 14.54 | 6.96 |
46 | 34 | 34 | 37.79 | 30.34 | 35.3 | 8.76 | 12.96 | 6.78 |
47 | 35 | 35 | 49.04 | 26.57 | 34.77 | 6.22 | 14.62 | 6.66 |
48 | 36 | 36 | 46 | 28.04 | 38.73 | 6.54 | 13.38 | 5.72 |
49 | 37 | 37 | 41.14 | 32.9 | 38.63 | 8.92 | 13.26 | 6.86 |
50 | 38 | 38 | 42.89 | 34.23 | 38.03 | 8.24 | 12.28 | 6.78 |
51 | 39 | 39 | 53.4 | 26.69 | 47.8 | 5.58 | 14.42 | 4.54 |
52 | 40 | 40 | 49.76 | 29.47 | 49.17 | 5.66 | 11.98 | 4.1 |
53 | 15 | 15 | 22.93 | 16.98 | 7.29 | 5.26 | 8.56 | 14.46 |
54 | 16 | 16 | 17.88 | 19.86 | 9.97 | 7.9 | 7.98 | 11.22 |
55 | 17 | 17 | 22.42 | 20.88 | 8.78 | 5.6 | 6.96 | 12.06 |
56 | 18 | 18 | 26.5 | 19.1 | 10.01 | 5.12 | 8.6 | 11.5 |
57 | 19 | 19 | 24.8 | 24.01 | 9.55 | 5.54 | 6.58 | 12.16 |
58 | 20 | 20 | 26.62 | 28.27 | 8.47 | 5.24 | 5.58 | 14.4 |
59 | 21 | 21 | 22.97 | 30.43 | 10.86 | 7.38 | 6.06 | 12.72 |
60 | 22 | 22 | 24.36 | 30.14 | 12.09 | 6.9 | 6.14 | 11.24 |
61 | 23 | 23 | 29.47 | 28.4 | 12.2 | 7.34 | 8.76 | 14.8 |
62 | 24 | 24 | 27.54 | 34.54 | 11.82 | 7.08 | 6.2 | 13.68 |
63 | 25 | 25 | 30.3 | 32.3 | 13.32 | 7.02 | 7.44 | 13.18 |
64 | 26 | 26 | 32.79 | 31.88 | 14.19 | 6.18 | 7.3 | 11.82 |
65 | 27 | 27 | 31.22 | 37.76 | 13.69 | 6.94 | 6.34 | 13.08 |
66 | 28 | 28 | 43.55 | 30.96 | 13.79 | 4.64 | 7.92 | 12.82 |
67 | 29 | 29 | 46.45 | 34.36 | 12.58 | 4.1 | 6.68 | 13.62 |
68 | 30 | 30 | 49.22 | 33.13 | 13.93 | 4.58 | 8.34 | 14.44 |
69 | 31 | 31 | 38.07 | 36.5 | 18.51 | 6.88 | 8.26 | 11.48 |
70 | 32 | 32 | 45.72 | 40.1 | 14.65 | 4.08 | 5.44 | 11.12 |
71 | 33 | 33 | 44.11 | 42.8 | 15.58 | 4.56 | 5.4 | 11.08 |
72 | 34 | 34 | 50.93 | 38.99 | 16.62 | 4.32 | 6.76 | 11.52 |
73 | 35 | 35 | 53.59 | 42.33 | 15.53 | 4.72 | 7.12 | 14.48 |
74 | 36 | 36 | 47.55 | 45.29 | 17.95 | 5.52 | 6.68 | 12.4 |
75 | 37 | 37 | 56.14 | 38.61 | 20.35 | 4.98 | 8.84 | 11.74 |
76 | 38 | 38 | 43.19 | 56.01 | 18.35 | 7.2 | 6.06 | 14.08 |
77 | 39 | 39 | 52.19 | 44.96 | 21.61 | 6.46 | 8.8 | 13.02 |
78 | 40 | 40 | 51.88 | 54.2 | 18.45 | 4.68 | 5.08 | 11.28 |
79 | 15 | 15 | 10.68 | 21.44 | 14.08 | 11.2 | 5.64 | 5.78 |
80 | 16 | 16 | 11.53 | 20.96 | 16.83 | 11.66 | 6.6 | 5.34 |
81 | 17 | 17 | 13.49 | 22.9 | 14.9 | 11.84 | 7.26 | 7.52 |
82 | 18 | 18 | 12.9 | 25.29 | 17.17 | 13.56 | 7.02 | 6.92 |
83 | 19 | 19 | 13.2 | 26.88 | 18.77 | 12.2 | 6.04 | 5.76 |
84 | 20 | 20 | 13.33 | 28.33 | 20.99 | 13.08 | 6.16 | 5.48 |
85 | 21 | 21 | 13.97 | 34.59 | 17.7 | 11.54 | 4.54 | 6.24 |
86 | 22 | 22 | 14.67 | 32.73 | 21.45 | 13 | 5.78 | 5.94 |
87 | 23 | 23 | 17.38 | 29.6 | 23.16 | 12.64 | 7.72 | 6.44 |
88 | 24 | 24 | 20.83 | 30.71 | 20 | 11.02 | 7.98 | 8.26 |
89 | 25 | 25 | 16.56 | 45.73 | 18.35 | 12.26 | 4.24 | 7.76 |
90 | 26 | 26 | 16.75 | 37.81 | 27.63 | 13.32 | 5.84 | 5.28 |
91 | 27 | 27 | 20.11 | 44.82 | 19.18 | 11.1 | 4.94 | 8.38 |
92 | 28 | 28 | 20.04 | 35.13 | 31.83 | 12.74 | 7.52 | 5.28 |
93 | 29 | 29 | 21 | 46.55 | 22.46 | 13.48 | 6.04 | 8.9 |
94 | 30 | 30 | 22.3 | 44.49 | 25.06 | 11.08 | 5.62 | 6.9 |
95 | 31 | 31 | 20.32 | 45.09 | 32.08 | 14.04 | 6.28 | 5.86 |
96 | 32 | 32 | 19.98 | 54.94 | 27.94 | 13.46 | 4.68 | 6.48 |
97 | 33 | 33 | 21.22 | 64.58 | 23.05 | 12.96 | 4 | 8.4 |
98 | 34 | 34 | 25.33 | 47.02 | 31.37 | 12.1 | 6.68 | 6.72 |
99 | 35 | 35 | 21.47 | 63.85 | 28.81 | 14.76 | 4.68 | 7.46 |
100 | 36 | 36 | 25.68 | 52.29 | 32.91 | 14.1 | 6.98 | 7.52 |
101 | 37 | 37 | 23.83 | 65.72 | 29.43 | 14.72 | 5.1 | 8.2 |
102 | 38 | 38 | 27.63 | 53.1 | 35.77 | 14.72 | 7.8 | 7.76 |
103 | 39 | 39 | 27.54 | 68.5 | 27.63 | 11.3 | 4.42 | 8.04 |
104 | 40 | 40 | 29.18 | 68.14 | 28.23 | 11.96 | 5.04 | 8.88 |
105 | 15 | 15 | 17.15 | 14.61 | 13.03 | 10.36 | 14.3 | 10.22 |
106 | 16 | 16 | 23.87 | 13.67 | 12.12 | 7.52 | 16.56 | 11.92 |
107 | 17 | 17 | 21.27 | 16.01 | 13.82 | 8.68 | 13.86 | 10.3 |
108 | 18 | 18 | 26.23 | 16.43 | 12.66 | 7.56 | 14.98 | 12.72 |
109 | 19 | 19 | 26.61 | 16.71 | 14.88 | 7.56 | 14.94 | 10.7 |
110 | 20 | 20 | 26.47 | 17.42 | 17.09 | 9.04 | 16.9 | 10.8 |
111 | 21 | 21 | 32.25 | 17.62 | 15.78 | 7.08 | 16.48 | 11.72 |
112 | 22 | 22 | 23.6 | 21.67 | 20.44 | 10.78 | 13.62 | 9.12 |
113 | 23 | 23 | 29.97 | 21.04 | 18.57 | 9.2 | 15.94 | 11.54 |
114 | 24 | 24 | 32.64 | 22.04 | 18.24 | 7.64 | 13.86 | 10.82 |
115 | 25 | 25 | 30.13 | 25.26 | 19.14 | 10.1 | 14.2 | 12.3 |
116 | 26 | 26 | 40.47 | 21.55 | 19.59 | 7.06 | 16.94 | 11.84 |
117 | 27 | 27 | 33.49 | 25.66 | 21.88 | 9.98 | 15.6 | 11.76 |
118 | 28 | 28 | 33.55 | 26.06 | 24.54 | 8.88 | 13.66 | 9.16 |
119 | 29 | 29 | 37.84 | 27.12 | 22.57 | 8.02 | 13.56 | 10.52 |
120 | 30 | 30 | 34.97 | 29.52 | 24.99 | 10.58 | 14.76 | 11.22 |
121 | 31 | 31 | 34.73 | 28.95 | 29.57 | 10.68 | 15.12 | 9.22 |
122 | 32 | 32 | 45.17 | 29.8 | 22.71 | 7.52 | 14.02 | 12.06 |
123 | 33 | 33 | 38.72 | 30.67 | 29.81 | 10.6 | 15.94 | 10.3 |
124 | 34 | 34 | 42.1 | 32.75 | 27.05 | 9.22 | 14.16 | 11.08 |
125 | 35 | 35 | 45.62 | 34.19 | 25.52 | 8.3 | 13.32 | 11.74 |
126 | 36 | 36 | 43.66 | 35.22 | 28.71 | 9.08 | 13.36 | 10.62 |
127 | 37 | 37 | 46.27 | 34.37 | 30.76 | 9.3 | 15.08 | 10.74 |
128 | 38 | 38 | 47.87 | 36.05 | 30.26 | 10.48 | 16.72 | 12.84 |
129 | 39 | 39 | 45.24 | 36.08 | 36.04 | 10.5 | 15.66 | 9.8 |
130 | 40 | 40 | 51.27 | 36.63 | 32.91 | 8.46 | 14.36 | 10.18 |
131 | 15 | 15 | 16.58 | 19.88 | 8.65 | 10.68 | 9.86 | 16.4 |
132 | 16 | 16 | 18.22 | 21.7 | 8.61 | 9.2 | 8.56 | 15.88 |
133 | 17 | 17 | 19.16 | 22.58 | 9.53 | 9.3 | 8.76 | 15.1 |
134 | 18 | 18 | 18.43 | 26.34 | 9.97 | 11 | 8.26 | 16.18 |
135 | 19 | 19 | 19.98 | 27.68 | 10.25 | 10.84 | 8.44 | 16.98 |
136 | 20 | 20 | 20.32 | 28.05 | 11.86 | 11.2 | 8.76 | 15.08 |
137 | 21 | 21 | 20.46 | 31.97 | 11.75 | 12.4 | 8.38 | 17 |
138 | 22 | 22 | 19.99 | 36.02 | 12.21 | 12.74 | 7.28 | 16.24 |
139 | 23 | 23 | 26.09 | 28.18 | 14.32 | 9.64 | 10.06 | 13.94 |
140 | 24 | 24 | 26.01 | 32.68 | 13.66 | 10.76 | 9.4 | 16.4 |
141 | 25 | 25 | 24.75 | 36.78 | 14.35 | 11.24 | 8.06 | 15.24 |
142 | 26 | 26 | 26.79 | 36.26 | 15.26 | 11.22 | 8.98 | 15.54 |
143 | 27 | 27 | 27.95 | 35.34 | 17.21 | 11.44 | 9.92 | 14.46 |
144 | 28 | 28 | 26.51 | 41.44 | 16.88 | 11.1 | 7.5 | 13.48 |
145 | 29 | 29 | 29.09 | 42.03 | 16.71 | 10.44 | 7.74 | 14.32 |
146 | 30 | 30 | 27.65 | 48.69 | 16.54 | 11.92 | 7 | 15.58 |
147 | 31 | 31 | 29.59 | 47.7 | 17.55 | 12.86 | 8.38 | 16.98 |
148 | 32 | 32 | 30.88 | 51.1 | 17.01 | 11.3 | 7.14 | 16.28 |
149 | 33 | 33 | 34.2 | 47.81 | 18.26 | 11.16 | 8.6 | 16.68 |
150 | 34 | 34 | 38.34 | 43.51 | 20.07 | 9.1 | 8.96 | 13.92 |
151 | 35 | 35 | 32.41 | 50.84 | 22.3 | 12.84 | 8.64 | 14.24 |
152 | 36 | 36 | 40.49 | 42.81 | 23.66 | 9.94 | 10.64 | 13.36 |
153 | 37 | 37 | 36.4 | 49.46 | 24.45 | 12.1 | 9.64 | 13.8 |
154 | 38 | 38 | 43.37 | 46.05 | 23.86 | 10.16 | 10.82 | 14.66 |
155 | 39 | 39 | 42.88 | 55.47 | 20.55 | 9.76 | 8.24 | 16.56 |
156 | 40 | 40 | 41.34 | 55.66 | 23.46 | 12.02 | 9.68 | 16.72 |
157 | 15 | 15 | 13.23 | 18.88 | 12.53 | 14.34 | 10.78 | 10.92 |
158 | 16 | 16 | 13.87 | 18.41 | 15.71 | 13.26 | 10.86 | 8.18 |
159 | 17 | 17 | 13.32 | 19.93 | 18.76 | 15.04 | 10.7 | 7.18 |
160 | 18 | 18 | 14.48 | 21.79 | 18.17 | 16.16 | 11.42 | 8.84 |
161 | 19 | 19 | 16.44 | 22.78 | 17.54 | 14.9 | 11.6 | 9.86 |
162 | 20 | 20 | 16.02 | 25.02 | 19.31 | 14.16 | 9.58 | 8.12 |
163 | 21 | 21 | 15.47 | 26.6 | 22.51 | 16.88 | 10.2 | 7.76 |
164 | 22 | 22 | 19.15 | 27.5 | 18.91 | 13.02 | 9.72 | 9.44 |
165 | 23 | 23 | 19.1 | 25.72 | 25.11 | 14.68 | 11.82 | 7.6 |
166 | 24 | 24 | 20.84 | 28.22 | 22.71 | 14.5 | 11.6 | 9.36 |
167 | 25 | 25 | 23.41 | 27.62 | 23.42 | 13.5 | 12.7 | 9.64 |
168 | 26 | 26 | 21.23 | 32.48 | 24.49 | 15.44 | 10.7 | 9.32 |
169 | 27 | 27 | 24.28 | 33.01 | 22.93 | 14.14 | 11.26 | 10.8 |
170 | 28 | 28 | 23.89 | 32.54 | 27.68 | 13.62 | 10.82 | 8.18 |
171 | 29 | 29 | 23.39 | 38.91 | 24.97 | 14.94 | 9.38 | 9.88 |
172 | 30 | 30 | 25.33 | 38.68 | 25.69 | 15.18 | 10.54 | 10.66 |
173 | 31 | 31 | 25.29 | 37.22 | 31.07 | 13.98 | 10.14 | 7.84 |
174 | 32 | 32 | 26.17 | 39.7 | 30.4 | 13.46 | 9.42 | 8.06 |
175 | 33 | 33 | 29.51 | 38.86 | 29.89 | 13.96 | 11.54 | 9.82 |
176 | 34 | 34 | 30.43 | 37.45 | 34.12 | 13.52 | 12.1 | 8.44 |
177 | 35 | 35 | 27.56 | 45.87 | 32.3 | 16.54 | 10.38 | 9.8 |
178 | 36 | 36 | 29.24 | 43.96 | 35.38 | 15.1 | 10.68 | 8.62 |
179 | 37 | 37 | 29.1 | 42.78 | 41.53 | 15.06 | 10.94 | 7.08 |
180 | 38 | 38 | 34.68 | 45.59 | 32.53 | 13.06 | 10.82 | 10.06 |
181 | 39 | 39 | 30.52 | 50.68 | 36.78 | 14.68 | 9.24 | 8.42 |
182 | 40 | 40 | 33.71 | 43.49 | 44.72 | 13.86 | 11.74 | 7.1 |
183 | 15 | 15 | 14.61 | 19.04 | 10.81 | 12.4 | 10.38 | 12.62 |
184 | 16 | 16 | 16.73 | 18.86 | 11.71 | 10.56 | 10.48 | 11.48 |
185 | 17 | 17 | 17.66 | 19.13 | 13.44 | 13.4 | 13.94 | 13.2 |
186 | 18 | 18 | 20.98 | 20.15 | 12.34 | 10.48 | 12.56 | 13.98 |
187 | 19 | 19 | 18.87 | 23.67 | 13.72 | 13.16 | 11.52 | 13.68 |
188 | 20 | 20 | 21.06 | 21.88 | 16.2 | 10.32 | 11.28 | 10.04 |
189 | 21 | 21 | 19.74 | 25.17 | 17.28 | 12.9 | 11.08 | 10.78 |
190 | 22 | 22 | 24.05 | 23.92 | 17.11 | 12.14 | 13.96 | 12.94 |
191 | 23 | 23 | 22.41 | 26.87 | 18.73 | 12.24 | 11.3 | 10.8 |
192 | 24 | 24 | 24.52 | 27.67 | 18.7 | 13.64 | 13.52 | 13.4 |
193 | 25 | 25 | 27.12 | 26.81 | 20.07 | 11.12 | 12.88 | 11.32 |
194 | 26 | 26 | 27.94 | 30.59 | 18.39 | 11.78 | 12.1 | 13.76 |
195 | 27 | 27 | 26.19 | 29.87 | 24.04 | 13.24 | 12.96 | 10.46 |
196 | 28 | 28 | 26.16 | 33.36 | 23.45 | 13.42 | 11.52 | 10.9 |
197 | 29 | 29 | 33.46 | 31.15 | 21.41 | 10.78 | 13.4 | 13.02 |
198 | 30 | 30 | 32.95 | 35.28 | 20.65 | 10.26 | 10.82 | 12.7 |
199 | 31 | 31 | 30.47 | 36.7 | 24.46 | 11.76 | 10.8 | 10.88 |
200 | 32 | 32 | 32.53 | 35.26 | 26.89 | 13.18 | 13.7 | 11.78 |
201 | 33 | 33 | 32.61 | 38.86 | 26.06 | 12.54 | 11.66 | 11.66 |
202 | 34 | 34 | 33.92 | 38.05 | 28.62 | 13.14 | 13.12 | 11.46 |
203 | 35 | 35 | 34.41 | 40.28 | 28.81 | 13.86 | 13.16 | 12.2 |
204 | 36 | 36 | 40.26 | 36.72 | 29.95 | 10.46 | 13.32 | 10.58 |
205 | 37 | 37 | 34.94 | 42.05 | 32.8 | 13.62 | 12.52 | 10.48 |
206 | 38 | 38 | 39.57 | 42.89 | 29.81 | 11.68 | 12.14 | 11.64 |
207 | 39 | 39 | 40.84 | 41.56 | 33.14 | 11.54 | 12.92 | 10.54 |
208 | 40 | 40 | 39.61 | 46.62 | 31.99 | 12.72 | 12 | 11.68 |
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