Description
Edit the data in the Excel version into Vietnamese data. The teacher said the explanation was based on the book Ecological Economics An Introduction 2005 Michael Common Sigrid chapter 7. But I still confused how it going, and when i change the number according to my understanding the chart go dramatically different from the exampleThe first part of sheet 1 uses comparative data for 2000 and 2050. Others part is just change the data according to UN lastest data of Vietnam. Please give me simple explanation of each table, i understand the basic flows and theory but confused in which data should be replace or keep and why
Unformatted Attachment Preview
IPAT identity
Impact
23100000000
=
Population
Affluence Technology
6000000000
7,000
0.00055
→
Table 7.1 United Nations population projections for 2050, millions
Low fertility
7866000000
Medium fertility
9322000000
High fertility
10934000000
Table 7.2 The effect of population growth on global CO2 emissions
2050 emissions
Low fertility
I = (7866 × 10^6) × 7000 × 0.00055 = 30284 × 10^6
Medium fertilityI = (9322 × 10^6) × 7000 × 0.00055 = 35890 × 10^6
High fertility I = (10934 × 10^6) × 7000 × 0.00055 = 42096 × 10^6
Table 7.3 Economic growth and CO2 emissions
Economic growth % per annum
1
2.5
4
2050 GDP pc $
11512
24060
49747
2050 CO2 emissions tonnes * 1
↓
1
2.5
4
11512.42
24059.76
49746.78
Table 7.4 CO2 emissions for population growth and economic growth
Economic growth rate
Low fertility
Medium fertility
49806194556
59025342696
1% pa
2.156112318
2.555209641
1.0409E+11
1.23357E+11
2.5% pa
4.506049532
5.340121248
2.1522E+11
2.55057E+11
4% pa
9.316861867
11.04141703
p.224
A
time
1
2
3
4
5
6
7
2.5% per year
B
C
labour
resource
1
1
1
2
1.025
1
3
1.050625
1
4 1.076890625
1
5 1.103812891
1
6 1.131408213
1
7 1.159693418
1
K_t-1+S_t
D
capital
E
ntnl Y
1
1.15
1.306941404
1.470757244
1.641412464
1.818897452
2.003223381
1
1.046276
1.092106
1.137701
1.183233
1.22884
1.274636
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
1.188685754
1.218402898
1.24886297
1.280084544
1.312086658
1.344888824
1.378511045
1.412973821
1.448298166
1.484505621
1.521618261
1.559658718
1.598650186
1.63861644
1.679581851
1.721571398
1.764610683
1.80872595
1.853944098
1.900292701
1.947800018
1.996495019
2.046407394
2.097567579
2.150006769
2.203756938
2.258850861
2.315322133
2.373205186
2.432535316
2.493348699
2.555682416
2.619574476
2.685063838
2.752190434
2.820995195
2.891520075
2.963808077
3.037903279
3.113850861
3.191697132
3.271489561
3.3532768
3.43710872
3.523036438
3.611112349
3.701390157
3.793924911
3.888773034
3.98599236
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2.194418751
2.39252679
2.597603465
2.809715926
3.028941289
3.255365673
3.489083416
3.730196459
3.978813837
4.235051267
4.499030818
4.770880638
5.050734738
5.33873281
5.635020093
5.93974726
6.253070335
6.575150629
6.906154703
7.246254337
7.59562652
7.954453455
8.322922569
8.701226537
9.089563319
9.488136197
9.897153825
10.31683029
10.74738516
11.18904359
11.64203635
12.10659994
12.58297664
13.07141466
13.57216818
14.08549747
14.61166899
15.15095552
15.70363624
16.26999688
16.85032982
17.44493421
18.05411613
18.67818869
19.31747219
19.97229427
20.64299001
21.32990214
22.03338115
22.75378547
1.32072
1.367178
1.414083
1.461502
1.509496
1.558118
1.60742
1.657449
1.70825
1.759864
1.812332
1.865694
1.919987
1.975249
2.031514
2.08882
2.147202
2.206694
2.267331
2.329148
2.39218
2.456461
2.522026
2.588912
2.657153
2.726784
2.797843
2.870366
2.94439
3.019952
3.097091
3.175845
3.256253
3.338357
3.422195
3.50781
3.595244
3.684538
3.775738
3.868886
3.964029
4.061213
4.160484
4.26189
4.365481
4.471305
4.579414
4.68986
4.802695
4.917974
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
p.225
capital^0.6
B
a
A
time
1
4.085642169
4.187783223
4.292477804
4.399789749
4.509784493
4.622529105
4.738092332
4.856544641
4.977958257
5.102407213
5.229967394
5.360716578
5.494734493
5.632102855
5.772905427
5.917228062
6.065158764
6.216787733
6.372207426
6.531512612
6.694800427
6.862170438
7.033724699
7.209567816
7.389807012
7.574552187
7.763915992
7.958013891
8.156964239
8.360888345
8.569910553
8.784158317
9.003762275
9.228856332
9.45957774
9.696067184
9.938468863
10.18693058
10.44160385
10.70264395
10.97021004
11.2444653
11.52557693
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
C
labour
1
1
23.49148162
24.24684438
25.02025697
25.81211122
26.62280774
27.45275613
28.30237511
29.17209279
30.06234682
30.97358458
31.90626344
32.86085093
33.83782494
34.83767401
35.86089748
36.90800577
37.97952061
39.07597527
40.1979148
41.34589632
42.52048925
43.72227556
44.9518501
46.20982081
47.49680905
48.81344986
50.16039229
51.53829966
52.94784991
54.38973587
55.86466566
57.37336292
58.91656723
60.49503443
62.10953694
63.76086417
65.44982286
67.17723749
68.94395059
70.75082322
72.59873534
74.48858619
76.42129475
5.035752
5.156084
5.279028
5.404643
5.532989
5.664127
5.798118
5.935027
6.074918
6.217859
6.363917
6.51316
6.66566
6.82149
6.980722
7.143432
7.309698
7.479597
7.65321
7.830619
8.011909
8.197164
8.386471
8.579922
8.777605
8.979616
9.186049
9.397002
9.612573
9.832865
10.05798
10.28803
10.52311
10.76335
11.00885
11.25972
11.5161
11.77809
12.04582
12.31941
12.59901
12.88472
13.1767
D
resource
E
capital
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
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27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
1
1.087473554
1.174231347
1.267801036
1.368023616
1.475381853
1.590336249
1.713379381
1.845033381
1.985851995
2.136422387
2.297367071
2.469345954
2.653058493
2.849245964
3.058693878
3.282234507
3.520749575
3.775173086
4.046494308
4.335760937
4.644082423
4.972633491
5.322657852
5.695472126
6.092469978
6.515126487
6.965002758
7.443750785
7.953118592
8.49495565
9.071218602
9.683977296
10.33542116
11.02786593
11.76376072
12.54569556
13.37640923
14.25879765
15.19592265
16.19102125
17.24751543
18.3690225
19.55936597
20.82258702
22.16295668
23.58498856
25.09345239
26.69338822
28.39012144
1.025
1.050625
1.076891
1.103813
1.131408
1.159693
1.188686
1.218403
1.248863
1.280085
1.312087
1.344889
1.378511
1.412974
1.448298
1.484506
1.521618
1.559659
1.59865
1.638616
1.679582
1.721571
1.764611
1.808726
1.853944
1.900293
1.9478
1.996495
2.046407
2.097568
2.150007
2.203757
2.258851
2.315322
2.373205
2.432535
2.493349
2.555682
2.619574
2.685064
2.75219
2.820995
2.89152
2.963808
3.037903
3.113851
3.191697
3.27149
3.353277
3.437109
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1.15
1.306941
1.485087
1.685864
1.912086
2.166781
2.45333
2.775495
3.13746
3.543876
3.999914
4.511316
5.084459
5.726421
6.445056
7.249076
8.148141
9.152958
10.27539
11.52857
12.92706
14.48697
16.2261
18.1642
20.32306
22.72679
25.40205
28.3783
31.68807
35.3673
39.45567
43.99699
49.03961
54.63687
60.84763
67.73678
75.37591
83.84391
93.22773
103.6232
115.1359
127.8822
141.9901
157.6006
174.869
193.9662
215.0803
238.4183
264.2077
292.699
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
30.18927862
32.09680418
34.11897805
36.26243423
38.53418033
40.94161831
43.49256624
46.19528125
49.05848383
52.09138331
55.30370488
58.70571795
62.30826618
66.12279903
70.16140509
74.43684723
78.96259963
83.75288685
88.82272501
94.1879652
99.86533929
105.8725081
112.2281126
118.9518269
126.0644157
133.5877931
141.5450859
149.9606999
158.8603895
168.2713316
178.2222028
188.743262
199.8664358
211.6254101
224.0557255
237.1948787
251.0824286
265.7601089
281.2719464
297.6643853
314.9864193
333.2897295
352.6288309
373.061226
394.6475674
417.4518282
441.5414827
466.9876962
493.8655247
3.523036
3.611112
3.70139
3.793925
3.888773
3.985992
4.085642
4.187783
4.292478
4.39979
4.509784
4.622529
4.738092
4.856545
4.977958
5.102407
5.229967
5.360717
5.494734
5.632103
5.772905
5.917228
6.065159
6.216788
6.372207
6.531513
6.6948
6.86217
7.033725
7.209568
7.389807
7.574552
7.763916
7.958014
8.156964
8.360888
8.569911
8.784158
9.003762
9.228856
9.459578
9.696067
9.938469
10.18693
10.4416
10.70264
10.97021
11.24447
11.52558
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
324.1676
358.9164
397.2784
439.6194
486.3419
537.8878
594.743
657.4411
726.5684
802.7686
886.7489
979.2858
1081.232
1193.522
1317.185
1453.346
1603.244
1768.236
1949.81
2149.602
2369.402
2611.176
2877.079
3169.476
3490.958
3844.365
4232.813
4659.715
5128.813
5644.208
6210.393
6832.292
7515.301
8265.328
9088.848
9992.954
10985.41
12074.73
13270.22
14582.09
16021.5
17600.69
19333.04
21233.21
23317.25
25602.71
28108.81
30856.58
33869.06
Table 7.9
A
time
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
B
labour
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
C
resource
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
D
capital
E
ntnl Y
1
1.15
1.304252008
1.462436376
1.624284122
1.789565398
1.958081255
2.129657596
2.304140635
2.481393415
2.661293092
2.843728781
3.028599825
3.215814392
3.405288318
3.596944149
3.790710338
3.986520568
4.184313178
4.384030666
4.58561927
4.789028594
4.994211296
5.201122802
5.409721062
5.619966332
5.831820982
6.045249327
6.260217469
6.476693164
6.694645698
6.914045777
7.134865423
7.357077887
7.580657567
7.805579929
8.031821441
8.25935951
8.488172424
8.718239301
8.949540038
9.182055267
9.415766313
9.650655158
9.886704405
10.12389724
1
1.028347
1.054562
1.078985
1.101875
1.123439
1.143842
1.16322
1.181685
1.199331
1.216238
1.232474
1.248097
1.26316
1.277706
1.291775
1.305402
1.318617
1.33145
1.343924
1.356062
1.367885
1.37941
1.390655
1.401635
1.412364
1.422856
1.433121
1.443171
1.453017
1.462667
1.472131
1.481416
1.490531
1.499482
1.508277
1.51692
1.525419
1.533779
1.542005
1.550102
1.558074
1.565926
1.573662
1.581286
1.588801
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10.36221741
10.6016492
10.84217737
11.08378717
11.32646433
11.57019497
11.81496565
12.06076331
12.30757528
12.55538924
12.8041932
13.05397553
13.30472488
13.55643022
13.80908082
14.0626662
14.31717617
14.57260077
14.82893032
15.08615535
15.34426662
15.60325513
15.86311206
16.12382881
16.38539698
16.64780835
16.91105489
17.17512874
17.44002222
17.70572779
17.9722381
18.23954594
18.50764424
18.77652609
19.04618471
19.31661346
19.58780582
19.85975542
20.13245599
20.40590138
20.68008557
20.95500265
21.23064682
21.50701237
21.78409371
22.06188534
22.34038186
22.61957798
22.89946848
23.18004824
1.596212
1.603521
1.610732
1.617848
1.624871
1.631805
1.638651
1.645413
1.652093
1.658693
1.665215
1.671662
1.678036
1.684337
1.690569
1.696733
1.702831
1.708864
1.714834
1.720742
1.72659
1.73238
1.738112
1.743788
1.749409
1.754977
1.760492
1.765956
1.77137
1.776735
1.782052
1.787322
1.792546
1.797724
1.802858
1.807949
1.812997
1.818004
1.822969
1.827895
1.832781
1.837628
1.842437
1.847209
1.851944
1.856644
1.861307
1.865937
1.870532
1.875093
97
98
99
100
97
98
99
100
1
1
1
1
1
1
1
1
23.46131223
23.74325549
24.02587316
24.30916045
1.879622
1.884118
1.888582
1.893015
Table 7.10 Extraction as a constant proportion of the remaining stock
year
opening stock N_t-1
Extraction and use R_t = H_t
1
100
1
2
99
0.99
3
98.01
0.9801
4
97.0299
0.970299
5
96.059601
0.96059601
6
95.09900499
0.95099005
7
94.14801494
0.941480149
8
93.20653479
0.932065348
9
92.27446944
0.922744694
10
91.35172475
0.913517247
11
90.4382075
0.904382075
12
89.53382543
0.895338254
13
88.63848717
0.886384872
14
87.7521023
0.877521023
15
86.87458128
0.868745813
16
86.00583546
0.860058355
17
85.14577711
0.851457771
18
84.29431934
0.842943193
19
83.45137615
0.834513761
20
82.61686238
0.826168624
21
81.79069376
0.817906938
22
80.97278682
0.809727868
23
80.16305895
0.80163059
24
79.36142836
0.793614284
25
78.56781408
0.785678141
26
77.78213594
0.777821359
27
77.00431458
0.770043146
28
76.23427143
0.762342714
29
75.47192872
0.754719287
30
74.71720943
0.747172094
31
73.97003734
0.739700373
32
73.23033697
0.73230337
33
72.4980336
0.724980336
34
71.77305326
0.717730533
35
71.05532273
0.710553227
36
70.3447695
0.703447695
37
69.6413218
0.696413218
38
68.94490859
0.689449086
39
68.2554595
0.682554595
40
67.57290491
0.675729049
41
66.89717586
0.668971759
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
66.2282041
65.56592206
64.91026284
64.26116021
63.61854861
62.98236312
62.35253949
61.72901409
61.11172395
60.50060671
59.89560065
59.29664464
58.70367819
58.11664141
57.535475
56.96012025
56.39051905
55.82661385
55.26834772
54.71566424
54.1685076
53.62682252
53.0905543
52.55964875
52.03405227
51.51371174
50.99857462
50.48858888
49.98370299
49.48386596
48.9890273
48.49913703
48.01414566
47.5340042
47.05866416
46.58807752
46.12219674
45.66097477
45.20436503
44.75232138
44.30479816
43.86175018
43.42313268
42.98890135
42.55901234
42.13342222
41.71208799
41.29496711
40.88201744
40.47319727
0.662282041
0.655659221
0.649102628
0.642611602
0.636185486
0.629823631
0.623525395
0.617290141
0.61111724
0.605006067
0.598956006
0.592966446
0.587036782
0.581166414
0.57535475
0.569601202
0.56390519
0.558266139
0.552683477
0.547156642
0.541685076
0.536268225
0.530905543
0.525596488
0.520340523
0.515137117
0.509985746
0.504885889
0.49983703
0.49483866
0.489890273
0.48499137
0.480141457
0.475340042
0.470586642
0.465880775
0.461221967
0.456609748
0.45204365
0.447523214
0.443047982
0.438617502
0.434231327
0.429889014
0.425590123
0.421334222
0.41712088
0.412949671
0.408820174
0.404731973
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
40.0684653
39.66778064
39.27110284
38.87839181
38.48960789
38.10471181
37.72366469
37.34642805
36.97296376
36.60323413
36.23720179
35.87482977
35.51608147
35.16092066
34.80931145
34.46121833
34.11660615
33.77544009
33.43768569
33.10330883
32.77227574
32.44455299
32.12010746
31.79890638
31.48091732
31.16610814
30.85444706
30.54590259
30.24044357
29.93803913
29.63865874
29.34227215
29.04884943
28.75836094
28.47077733
28.18606955
27.90420886
27.62516677
27.3489151
27.07542595
26.80467169
26.53662497
26.27125873
26.00854614
25.74846068
25.49097607
25.23606631
24.98370565
24.73386859
24.4865299
0.400684653
0.396677806
0.392711028
0.388783918
0.384896079
0.381047118
0.377236647
0.37346428
0.369729638
0.366032341
0.362372018
0.358748298
0.355160815
0.351609207
0.348093114
0.344612183
0.341166062
0.337754401
0.334376857
0.331033088
0.327722757
0.32444553
0.321201075
0.317989064
0.314809173
0.311661081
0.308544471
0.305459026
0.302404436
0.299380391
0.296386587
0.293422722
0.290488494
0.287583609
0.284707773
0.281860696
0.279042089
0.276251668
0.273489151
0.27075426
0.268046717
0.26536625
0.262712587
0.260085461
0.257484607
0.254909761
0.252360663
0.249837056
0.247338686
0.244865299
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
24.2416646
23.99924796
23.75925548
23.52166292
23.28644629
23.05358183
22.82304601
22.59481555
22.3688674
22.14517872
21.92372694
21.70448967
21.48744477
21.27257032
21.05984462
20.84924617
20.64075371
20.43434617
20.23000271
20.02770269
19.82742566
19.6291514
19.43285989
19.23853129
19.04614598
18.85568452
18.66712767
18.48045639
18.29565183
18.11269531
17.93156836
17.75225268
17.57473015
17.39898285
17.22499302
17.05274309
16.88221566
16.7133935
16.54625957
16.38079697
16.216989
16.05481911
15.89427092
15.73532821
15.57797493
15.42219518
15.26797323
15.1152935
14.96414056
14.81449915
0.242416646
0.23999248
0.237592555
0.235216629
0.232864463
0.230535818
0.22823046
0.225948156
0.223688674
0.221451787
0.219237269
0.217044897
0.214874448
0.212725703
0.210598446
0.208492462
0.206407537
0.204343462
0.202300027
0.200277027
0.198274257
0.196291514
0.194328599
0.192385313
0.19046146
0.188556845
0.186671277
0.184804564
0.182956518
0.181126953
0.179315684
0.177522527
0.175747301
0.173989828
0.17224993
0.170527431
0.168822157
0.167133935
0.165462596
0.16380797
0.16216989
0.160548191
0.158942709
0.157353282
0.155779749
0.154221952
0.152679732
0.151152935
0.149641406
0.148144992
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
14.66635416
14.51969062
14.37449372
14.23074878
14.08844129
13.94755688
13.80808131
13.6700005
13.53330049
13.39796749
13.26398781
13.13134793
13.00003445
12.87003411
12.74133377
12.61392043
12.48778123
12.36290341
12.23927438
12.11688164
11.99571282
11.87575569
11.75699813
11.63942815
11.52303387
11.40780353
11.2937255
11.18078824
11.06898036
10.95829056
10.84870765
10.74022057
10.63281837
10.52649018
10.42122528
10.31701303
10.2138429
10.11170447
10.01058743
9.910481552
9.811376736
9.713262969
9.616130339
9.519969036
9.424769346
9.330521652
9.237216436
9.144844271
9.053395829
8.96286187
0.146663542
0.145196906
0.143744937
0.142307488
0.140884413
0.139475569
0.138080813
0.136700005
0.135333005
0.133979675
0.132639878
0.131313479
0.130000345
0.128700341
0.127413338
0.126139204
0.124877812
0.123629034
0.122392744
0.121168816
0.119957128
0.118757557
0.117569981
0.116394282
0.115230339
0.114078035
0.112937255
0.111807882
0.110689804
0.109582906
0.108487077
0.107402206
0.106328184
0.105264902
0.104212253
0.10317013
0.102138429
0.101117045
0.100105874
0.099104816
0.098113767
0.09713263
0.096161303
0.09519969
0.094247693
0.093305217
0.092372164
0.091448443
0.090533958
0.089628619
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
8.873233252
8.784500919
8.69665591
8.609689351
8.523592457
8.438356533
8.353972967
8.270433238
8.187728905
8.105851616
8.0247931
7.944545169
7.865099717
7.78644872
7.708584233
7.631498391
7.555183407
7.479631573
7.404835257
7.330786904
7.257479035
7.184904245
7.113055203
7.041924651
6.971505404
6.90179035
6.832772446
6.764444722
6.696800275
6.629832272
6.563533949
6.49789861
6.432919624
6.368590427
6.304904523
6.241855478
6.179436923
6.117642554
6.056466128
5.995901467
5.935942452
5.876583028
5.817817198
5.759639026
5.702042635
5.645022209
5.588571987
5.532686267
5.477359404
5.42258581
0.088732333
0.087845009
0.086966559
0.086096894
0.085235925
0.084383565
0.08353973
0.082704332
0.081877289
0.081058516
0.080247931
0.079445452
0.078650997
0.077864487
0.077085842
0.076314984
0.075551834
0.074796316
0.074048353
0.073307869
0.07257479
0.071849042
0.071130552
0.070419247
0.069715054
0.069017903
0.068327724
0.067644447
0.066968003
0.066298323
0.065635339
0.064978986
0.064329196
0.063685904
0.063049045
0.062418555
0.061794369
0.061176426
0.060564661
0.059959015
0.059359425
0.05876583
0.058178172
0.05759639
0.057020426
0.056450222
0.05588572
0.055326863
0.054773594
0.054225858
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
5.368359952
5.314676353
5.261529589
5.208914293
5.15682515
5.105256899
5.05420433
5.003662287
4.953625664
4.904089407
4.855048513
4.806498028
4.758433048
4.710848717
4.66374023
4.617102828
4.570931799
4.525222481
4.479970257
4.435170554
4.390818849
4.34691066
4.303441553
4.260407138
4.217803067
4.175625036
4.133868785
4.092530098
4.051604797
4.011088749
3.970977861
3.931268083
3.891955402
3.853035848
3.814505489
3.776360434
3.73859683
3.701210862
3.664198753
3.627556766
3.591281198
3.555368386
3.519814702
3.484616555
3.44977039
3.415272686
3.381119959
3.347308759
3.313835672
3.280697315
0.0536836
0.053146764
0.052615296
0.052089143
0.051568252
0.051052569
0.050542043
0.050036623
0.049536257
0.049040894
0.048550485
0.04806498
0.04758433
0.047108487
0.046637402
0.046171028
0.045709318
0.045252225
0.044799703
0.044351706
0.043908188
0.043469107
0.043034416
0.042604071
0.042178031
0.04175625
0.041338688
0.040925301
0.040516048
0.040110887
0.039709779
0.039312681
0.038919554
0.038530358
0.038145055
0.037763604
0.037385968
0.037012109
0.036641988
0.036275568
0.035912812
0.035553684
0.035198147
0.034846166
0.034497704
0.034152727
0.0338112
0.033473088
0.033138357
0.032806973
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
3.247890342
3.215411438
3.183257324
3.151424751
3.119910503
3.088711398
3.057824284
3.027246041
2.996973581
2.967003845
2.937333807
2.907960469
2.878880864
2.850092055
2.821591135
2.793375223
2.765441471
2.737787056
2.710409186
2.683305094
2.656472043
2.629907323
2.603608249
2.577572167
2.551796445
2.526278481
2.501015696
2.476005539
2.451245484
2.426733029
2.402465698
2.378441042
2.354656631
2.331110065
2.307798964
2.284720974
2.261873765
2.239255027
2.216862477
2.194693852
2.172746914
2.151019444
2.12950925
2.108214157
2.087132016
2.066260696
2.045598089
2.025142108
2.004890687
1.98484178
0.032478903
0.032154114
0.031832573
0.031514248
0.031199105
0.030887114
0.030578243
0.03027246
0.029969736
0.029670038
0.029373338
0.029079605
0.028788809
0.028500921
0.028215911
0.027933752
0.027654415
0.027377871
0.027104092
0.026833051
0.02656472
0.026299073
0.026036082
0.025775722
0.025517964
0.025262785
0.025010157
0.024760055
0.024512455
0.02426733
0.024024657
0.02378441
0.023546566
0.023311101
0.02307799
0.02284721
0.022618738
0.02239255
0.022168625
0.021946939
0.021727469
0.021510194
0.021295092
0.021082142
0.02087132
0.020662607
0.020455981
0.020251421
0.020048907
0.019848418
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
1.964993362
1.945343429
1.925889994
1.906631094
1.887564783
1.868689136
1.850002244
1.831502222
1.813187199
1.795055328
1.777104774
1.759333726
1.741740389
1.724322985
1.707079755
1.690008958
1.673108868
1.65637778
1.639814002
1.623415862
1.607181703
1.591109886
1.575198787
1.559446799
1.543852331
1.528413808
1.51312967
1.497998373
1.48301839
1.468188206
1.453506324
1.43897126
1.424581548
1.410335732
1.396232375
1.382270051
1.368447351
1.354762877
1.341215248
1.327803096
1.314525065
1.301379814
1.288366016
1.275482356
1.262727533
1.250100257
1.237599255
1.225223262
1.212971029
1.200841319
0.019649934
0.019453434
0.0192589
0.019066311
0.018875648
0.018686891
0.018500022
0.018315022
0.018131872
0.017950553
0.017771048
0.017593337
0.017417404
0.01724323
0.017070798
0.01690009
0.016731089
0.016563778
0.01639814
0.016234159
0.016071817
0.015911099
0.015751988
0.015594468
0.015438523
0.015284138
0.015131297
0.014979984
0.014830184
0.014681882
0.014535063
0.014389713
0.014245815
0.014103357
0.013962324
0.013822701
0.013684474
0.013547629
0.013412152
0.013278031
0.013145251
0.013013798
0.01288366
0.012754824
0.012627275
0.012501003
0.012375993
0.012252233
0.01212971
0.012008413
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
1.188832906
1.176944577
1.165175131
1.15352338
1.141988146
1.130568265
1.119262582
1.108069956
1.096989257
1.086019364
1.07515917
1.064407579
1.053763503
1.043225868
1.032793609
1.022465673
1.012241016
1.002118606
0.99209742
0.982176446
0.972354681
0.962631135
0.953004823
0.943474775
0.934040027
0.924699627
0.915452631
0.906298104
0.897235123
0.888262772
0.879380144
0.870586343
0.86188048
0.853261675
0.844729058
0.836281767
0.82791895
0.81963976
0.811443363
0.803328929
0.79529564
0.787342683
0.779469257
0.771674564
0.763957818
0.75631824
0.748755058
0.741267507
0.733854832
0.726516284
0.011888329
0.011769446
0.011651751
0.011535234
0.011419881
0.011305683
0.011192626
0.0110807
0.010969893
0.010860194
0.010751592
0.010644076
0.010537635
0.010432259
0.010327936
0.010224657
0.01012241
0.010021186
0.009920974
0.009821764
0.009723547
0.009626311
0.009530048
0.009434748
0.0093404
0.009246996
0.009154526
0.009062981
0.008972351
0.008882628
0.008793801
0.008705863
0.008618805
0.008532617
0.008447291
0.008362818
0.008279189
0.008196398
0.008114434
0.008033289
0.007952956
0.007873427
0.007794693
0.007716746
0.007639578
0.007563182
0.007487551
0.007412675
0.007338548
0.007265163
492
493
494
495
496
497
498
499
500
0.719251121
0.71205861
0.704938024
0.697888643
0.690909757
0.684000659
0.677160653
0.670389046
0.663685156
0.007192511
0.007120586
0.00704938
0.006978886
0.006909098
0.006840007
0.006771607
0.00670389
0.006636852
Figure 7.4
A
time
B
labour
C
resource
5
4.75
4.5125
4.286875
4.072531
3.868905
3.675459
3.491686
3.317102
3.151247
2.993685
2.844
2.7018
2.56671
2.438375
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
1 2.316456
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2.200633
2.090602
1.986072
1.886768
1.79243
1.702808
1.617668
1.536784
1.459945
1.386948
1.3176
1.25172
1.189134
1.129678
1.073194
1.019534
0.968557
0.92013
0.874123
D
capital
E
ntnl Y
1
1.15
1.3
1.45
1.6
1.75
1.9
2.05
2.2
2.35
2.5
2.65
2.8
2.95
3.1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3.25
1
3.4
1
3.55
1
3.7
1
3.85
1
4
1
4.15
1
4.3
1
4.45
1
4.6
1
4.75
1
4.9
1
5.05
1
5.2
1
5.35
1
5.5
1
5.65
1
5.8 0.968557
5.945283613 0.92013
6.083303046 0.874123
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.830417
0.788896
0.749451
0.711979
0.67638
0.642561
0.610433
0.579911
0.550916
0.52337
0.497201
0.472341
0.448724
0.426288
0.404974
0.384725
0.365489
0.347214
0.329853
0.313361
0.297693
0.282808
0.268668
0.255234
0.242473
0.230349
0.218832
0.20789
0.197495
0.187621
0.17824
0.169328
0.160861
0.152818
0.145177
0.137918
0.131023
0.124471
0.118248
0.112335
0.106719
0.101383
0.096314
0.091498
0.086923
0.082577
0.078448
0.074526
0.070799
0.067259
6.214421507
6.338984045
6.457318456
6.569736147
6.676532953
6.777989918
6.874374036
6.965938947
7.052925613
7.135562946
7.214068412
7.288648605
7.359499788
7.426808412
7.490751605
7.551497638
7.609206369
7.664029664
7.716111794
7.765589818
7.81259394
7.857247857
7.899669077
7.939969237
7.978254388
8.014625282
8.049177631
8.082002363
8.113185858
8.142810179
8.170953283
8.197689232
8.223088384
8.247217578
8.270140313
8.29191691
8.312604678
8.332258058
8.350928768
8.368665943
8.385516259
8.40152406
8.41673147
8.43117851
8.444903198
8.457941651
8.470328182
8.482095386
8.49327423
8.503894132
0.830417
0.788896
0.749451
0.711979
0.67638
0.642561
0.610433
0.579911
0.550916
0.52337
0.497201
0.472341
0.448724
0.426288
0.404974
0.384725
0.365489
0.347214
0.329853
0.313361
0.297693
0.282808
0.268668
0.255234
0.242473
0.230349
0.218832
0.20789
0.197495
0.187621
0.17824
0.169328
0.160861
0.152818
0.145177
0.137918
0.131023
0.124471
0.118248
0.112335
0.106719
0.101383
0.096314
0.091498
0.086923
0.082577
0.078448
0.074526
0.070799
0.067259
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.063896
0.060702
0.057667
0.054783
0.052044
0.049442
0.04697
0.044621
0.04239
0.040271
0.038257
0.036344
0.034527
0.032801
0.031161
8.513983039
8.5235675
8.532672738
8.541322715
8.549540193
8.557346796
8.56476307
8.57180853
8.578501716
8.584860244
8.590900845
8.596639416
8.602091059
8.607270119
8.612190227
0.063896
0.060702
0.057667
0.054783
0.052044
0.049442
0.04697
0.044621
0.04239
0.040271
0.038257
0.036344
0.034527
0.032801
0.031161
C
resource
5
4.75
4.5125
4.286875
4.072531
3.868905
3.675459
3.491686
3.317102
3.151247
2.993685
2.844
2.7018
2.56671
2.438375
2.316456
D
capital
E
ntnl Y
1
1.15
1.3
1.463121033
1.638693847
1.827171303
2.027015449
2.237810561
2.459189717
2.690825731
2.9324243
3.183718716
3.444465705
3.714442105
3.993442174
4.281275379
1
1
1.087474
1.170485
1.256516
1.332294
1.405301
1.475861
1.54424
1.610657
1.675296
1.738313
1.799843
1.86
1.918888
1.976595
Figure 7.5
A
time
B
labour
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
17
1 2.200633
4.577764568 2.033199
18
19
20
21
22
23
24
25
26
27
28
29
18
19
20
21
22
23
24
25
26
27
28
29
1
1
1
1
1
1
1
1
1
1
1
1
4.882744433
5.196060216
5.517566603
5.847126776
6.1846116
6.529898907
6.882872878
7.243423498
7.611446071
7.986840799
8.369512396
8.759369756
2.090602
1.986072
1.886768
1.79243
1.702808
1.617668
1.536784
1.459945
1.386948
1.3176
1.25172
1.189134
2.088772
2.143376
2.197068
2.249899
2.301915
2.35316
2.403671
2.453484
2.502632
2.551144
2.599049
2.646373
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1.129678
1.073194
1.019534
0.968557
0.92013
0.874123
0.830417
0.788896
0.749451
0.711979
0.67638
0.642561
0.610433
0.579911
0.550916
0.52337
0.497201
0.472341
0.448724
0.426288
0.404974
0.384725
0.365489
0.347214
0.329853
0.313361
0.297693
0.282808
0.268668
0.255234
0.242473
0.230349
0.218832
0.20789
0.197495
0.187621
0.17824
0.169328
0.160861
0.152818
0.145177
0.137918
0.131023
0.124471
0.118248
0.112335
0.106719
0.101383
0.096314
0.091498
9.15632564
9.560296412
9.971201783
10.38896459
10.96634911
11.52853973
12.06708966
12.58272358
13.07617794
13.54819516
13.99951868
14.43088879
14.84303916
15.23669397
15.61256543
15.97135193
16.31373635
16.64038488
16.95194602
17.24904983
17.53230743
17.80231065
18.05963185
18.30482383
18.53841992
18.7609341
18.97286122
19.17467732
19.36683994
19.54978854
19.7239449
19.88971356
20.04748235
20.19762281
20.34049074
20.47642666
20.60575639
20.72879147
20.84582976
20.95715585
21.06304163
21.16374675
21.25951909
21.35059522
21.4372009
21.51955147
21.59785232
21.67229929
21.74307908
21.81036964
2.693138
2.739369
2.785085
3.84923
3.747937
3.590333
3.437559
3.289696
3.146781
3.008823
2.875801
2.747669
2.624365
2.50581
2.39191
2.282563
2.177657
2.077074
1.980692
1.888384
1.800022
1.715475
1.634613
1.557307
1.483428
1.412847
1.345441
1.281084
1.219657
1.161042
1.105124
1.051792
1.000936
0.952453
0.90624
0.862198
0.820234
0.780255
0.742174
0.705905
0.671367
0.638482
0.607174
0.577371
0.549004
0.522006
0.496313
0.471865
0.448604
0.426473
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
0.7 베타
B
labour
Figure 7.6
A
time
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0.086923
0.082577
0.078448
0.074526
0.070799
0.067259
0.063896
0.060702
0.057667
0.054783
0.052044
0.049442
0.04697
0.044621
0.04239
0.040271
0.038257
0.036344
0.034527
0.032801
0.031161
21.87434057
21.93515344
21.9929622
22.04791348
22.10014693
22.14979553
22.1969859
22.24183858
22.28446832
22.32498435
22.36349061
22.40008602
22.43486472
22.46791626
22.
