Pollution Prevention, P2 Investment Heaps Company produces jewelry that requires electroplating with gold, silver, and other valuable metals. Electroplating uses large amounts of water and chemicals, producing wastewater with a number of toxic residuals. Currently, Heaps uses settlement tanks to remove waste; unfortunately, the approach is inefficient, and much of the toxic residue is left in the water that is discharged into a local river. The amount of toxic discharge exceeds the legal, allowable amounts, and the company is faced with substantial, ongoing environmental fines. The environmental violations are also drawing unfavorable public reaction, and sales are being affected. A lawsuit is also impending, which could prove to be quite costly. Management is now considering the installation of a zero-discharge, closed-loop system to treat the wastewater. The proposed closed-loop system would not only purify the wastewater, but also produce cleaner water than that currently being used, increasing plating quality. The closed-loop system would produce only four pounds of sludge, and the sludge would be virtually pure metal, with significant market value. The system requires an investment of $623,700 and will cost $44,180 in increased annual operation plus an annual purchase of $7,070 of filtration medium. However, management projects the following savings: Water usage $ 67,760 Chemical usage   42,070 Sludge disposal   90,320 Recovered metal sales   45,170 Sampling of discharge   120,220      Total $ 365,540 The equipment qualifies as a seven-year MACRS asset. Management has decided to use straight-line depreciation for tax purposes, using the required half-year convention. The tax rate is 40 percent. The projected life of the system is 10 years. The hurdle rate is 16 percent for all capital budgeting projects, although the company’s cost of capital is 12 percent. The present value tables provided in Exhibit 19B.1 and Exhibit 19B.2 must be used to solve the following problems. Required: 4. The calculation in Requirement 3 ignored several factors that could affect the project’s viability: savings from avoiding the annual fines, positive effect on sales due to favorable environmental publicity, increased plating quality from the new system, and the avoidance of the lawsuit. Can these factors be quantified?   Suppose, for example, that the annual fines being incurred are $74,710, the sales effect is $59,710 per year, the quality effect is not estimable, and cancellation of the lawsuit because of the new system would avoid an expected settlement at the end of Year 3 (including legal fees) of $308,600. Assuming these are all after-tax amounts, what effect would their inclusion have on the payback period? On the NPV? Round payback to two decimal places and round NPV calculation and final answer to the nearest dollar. Payback Decreases  by fill in the blank  years NPV Increases  by $fill in the blank

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Related questions
Question

Pollution Prevention, P2 Investment

Heaps Company produces jewelry that requires electroplating with gold, silver, and other valuable metals. Electroplating uses large amounts of water and chemicals, producing wastewater with a number of toxic residuals. Currently, Heaps uses settlement tanks to remove waste; unfortunately, the approach is inefficient, and much of the toxic residue is left in the water that is discharged into a local river. The amount of toxic discharge exceeds the legal, allowable amounts, and the company is faced with substantial, ongoing environmental fines. The environmental violations are also drawing unfavorable public reaction, and sales are being affected. A lawsuit is also impending, which could prove to be quite costly.

Management is now considering the installation of a zero-discharge, closed-loop system to treat the wastewater. The proposed closed-loop system would not only purify the wastewater, but also produce cleaner water than that currently being used, increasing plating quality. The closed-loop system would produce only four pounds of sludge, and the sludge would be virtually pure metal, with significant market value. The system requires an investment of $623,700 and will cost $44,180 in increased annual operation plus an annual purchase of $7,070 of filtration medium. However, management projects the following savings:

Water usage $ 67,760
Chemical usage   42,070
Sludge disposal   90,320
Recovered metal sales   45,170
Sampling of discharge   120,220
     Total $ 365,540

The equipment qualifies as a seven-year MACRS asset. Management has decided to use straight-line depreciation for tax purposes, using the required half-year convention. The tax rate is 40 percent. The projected life of the system is 10 years. The hurdle rate is 16 percent for all capital budgeting projects, although the company’s cost of capital is 12 percent.

The present value tables provided in Exhibit 19B.1 and Exhibit 19B.2 must be used to solve the following problems.

Required:

4. The calculation in Requirement 3 ignored several factors that could affect the project’s viability: savings from avoiding the annual fines, positive effect on sales due to favorable environmental publicity, increased plating quality from the new system, and the avoidance of the lawsuit. Can these factors be quantified?

 

Suppose, for example, that the annual fines being incurred are $74,710, the sales effect is $59,710 per year, the quality effect is not estimable, and cancellation of the lawsuit because of the new system would avoid an expected settlement at the end of Year 3 (including legal fees) of $308,600. Assuming these are all after-tax amounts, what effect would their inclusion have on the payback period? On the NPV? Round payback to two decimal places and round NPV calculation and final answer to the nearest dollar.

Payback Decreases  by fill in the blank  years
NPV Increases  by $fill in the blank 
EXHIBIT 19B.2
Present Value of an Annuity of $1 in Arrears
Periods
2%
4%
6%
8%
10%
12%
14%
16%
18%
20%
22%
24%
26%
28%
30%
32%
40%
0.962
0.980
1.942
2.884
3.808
0.943
1.833
2.673
3.465
4.212
0.926 0.909
0.893
0.877 0.862
0.847
0.833
1.528
0.820
0.806
0.794
0.781
0.769
0.758
0.714
2
1.866
1.783
1.736
1.690
1.392
1.647 1.605
2.322 2.246
2.914 2.798
3.433 3.274
3.889 3.685
4.288 4.039
1.566
1.492
1.457
1.424
1.361
1.331
1.224
1.589
1.849
2.035
3.
2.775
2577 2.487
2.402
3.037
3.605
2.174
2.106
2.042
1.981
2.404
2.745
3.020
3.242
1.923
2.320
2.635
1.868
1.816
1.766
2.096
2.345
4
3.630
3.312 3.170
2.690
2.241
2.166
2.589
2.991
2.494
2.864
5.
4.713
4.452
5.242
6.002
3.993 3.791
3.127
3.498
3.812
3.078
4.303
4.494
2.532
2.436
2.759
2.937
6.
2.643
5.601
6.472
7.325
8.162
8.983
4.917
5.582
6.210
6.802
7.360
7.887
8.384
8.853
9.295
9.712
4.623 4.355
4.111
3.326
3.167
2.885
3.083
3.241
3.366
2.534
2.168
3.605
3.837
4.031
4.192
4.327
4.439
3.416
3.619
3.786
3.923
2.677
5.206 4.868
5.747 5.335
6.247
4.564
4.968
2.802
2.925
3.019
3.092
3.147
3.190
3.223
3.249
3.268
3.283
3.295
2.263
6.733
7.435
8.111
8.760
9.385
2.331
2.379
2.414
8.
9
4.639 4.344
3.421
3.566
3.682
5.759
6.710 6.145
7.139 6.495
7.536 6.814
7.904 7.103
8.244 7.367
8.559 7.606
8.851 7.824
3.076
3.184
3.269
3.335
3.387
3.427
3.459
3.483
2.786
2.868
2.930
2.978
3.013
3.040
3.061
3.076
3.088
3.097
5.328
5.650
5.938
6.194
4.946 4.607
10
5.216 4.833
5.453 5.029
5.660 5.197
3.465
3.543
3.606
3.656
3.695
3.726
11
9.787
4.656
4.793
4.910
5.008
5.092
4.035
4.127
3.776
3.851
3.912
3.962
4.001
2.438
2.456
2.469
12
13
10.575
11.348
9.986
6.424
5.842 5.342
4.533
4.203
12.106 10.563
12.849 11.118
6.628
6.811
6.002 5.468
6.142 5.575
4.611
4.675
4.730
4.265
4.315
4.357
4.391
2.478
2.484
2.489
2.492
14
15
16
13.578 11.652 10.106
6.974
6.265 5.668
5.162
4.033
3.751
3.503
6.373 5.749
6.467 5.818
17
14.292 12.166 10.477
9.122 8.022
7.120
5.222
4.775
4.059
4.080
3.771
3.786
3.799
3.808
3.816
3.822
3.518
18
14.992 12.659 10.828
9.372 8.201
7.250
5.273
4.812
4.419
3.529
3.304
3.104
2.494
19
15.678 13.134 11.158
9.604 8.365
3.539
7.366
7.469
7.562
6.550 5.877
5.316
4.843
4.442
4.097
3.311
3.109
2.496
20
21
16.351 13.590 11.470
17.011 14.029 11.764 10.017 8.649
9.818 8.514
6.623 5.929
6.687 5.973
5.353
5.384
5.410
4.870
4.891
4.460
4.110
4.121
3.546
3.316
3.113
3.116
2.497
2.498
2.498
4.476
3.551
3.320
4.909
4.925
22
17.658 14.451 12.042 10.201 8.772
7.645
6.743 6.011
4.488
4.130
3.556
3.323
3.118
23
18.292 14.857 12.303 10.371
8.883
7.718
6.792 6.044
5.432
4.499
4.137
3.827
3.559
3.325
3.120
2.499
24
18.914 15.247 12.550 10.529 8.985
7.784
6.835 6.073
5.451
4.937
4.507
4.143
3.831
3.562
3.327
3.121
2.499
4.948
25
26
19.523 15.622 12.783 10.675 9.077
20.121
7.843
7.896
7.943
6.873 6.097
6.906 6.118
5.467
5.480
4.514
4.147
3.834
3.837
3.564
3.566
3.567
3.329
3.330
3.122
3.123
3.123
2.499
15.983 13.003 10.810 9.161
4.956
4.520
4.151
2.500
27
20.707 16.330 13.211 10.935 9.237
6.935 6.136
5.492
4.964
4.524
4.154
3.839
3.331
2.500
9.307
4.970
4.528
3.568
3.569
28
21.281 16.663 13.406 11.051
7.984
6.961 6.152
5.502
4.157
3.840
3.331
3.124
2.500
8.022
8.055
29
21.844 16.984 13.591
11.158 9.370
6.983 6.166
5.5 10
4.975
4.531
4.159
3.841
3.332
3.124
2.500
30
22.396 17.292 13.765 11.258 9.427
7.003 6.177
5.517
4.979
4.534
4.160
3.842
3.569
3.332
3.124
2.500
Transcribed Image Text:EXHIBIT 19B.2 Present Value of an Annuity of $1 in Arrears Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 40% 0.962 0.980 1.942 2.884 3.808 0.943 1.833 2.673 3.465 4.212 0.926 0.909 0.893 0.877 0.862 0.847 0.833 1.528 0.820 0.806 0.794 0.781 0.769 0.758 0.714 2 1.866 1.783 1.736 1.690 1.392 1.647 1.605 2.322 2.246 2.914 2.798 3.433 3.274 3.889 3.685 4.288 4.039 1.566 1.492 1.457 1.424 1.361 1.331 1.224 1.589 1.849 2.035 3. 2.775 2577 2.487 2.402 3.037 3.605 2.174 2.106 2.042 1.981 2.404 2.745 3.020 3.242 1.923 2.320 2.635 1.868 1.816 1.766 2.096 2.345 4 3.630 3.312 3.170 2.690 2.241 2.166 2.589 2.991 2.494 2.864 5. 4.713 4.452 5.242 6.002 3.993 3.791 3.127 3.498 3.812 3.078 4.303 4.494 2.532 2.436 2.759 2.937 6. 2.643 5.601 6.472 7.325 8.162 8.983 4.917 5.582 6.210 6.802 7.360 7.887 8.384 8.853 9.295 9.712 4.623 4.355 4.111 3.326 3.167 2.885 3.083 3.241 3.366 2.534 2.168 3.605 3.837 4.031 4.192 4.327 4.439 3.416 3.619 3.786 3.923 2.677 5.206 4.868 5.747 5.335 6.247 4.564 4.968 2.802 2.925 3.019 3.092 3.147 3.190 3.223 3.249 3.268 3.283 3.295 2.263 6.733 7.435 8.111 8.760 9.385 2.331 2.379 2.414 8. 9 4.639 4.344 3.421 3.566 3.682 5.759 6.710 6.145 7.139 6.495 7.536 6.814 7.904 7.103 8.244 7.367 8.559 7.606 8.851 7.824 3.076 3.184 3.269 3.335 3.387 3.427 3.459 3.483 2.786 2.868 2.930 2.978 3.013 3.040 3.061 3.076 3.088 3.097 5.328 5.650 5.938 6.194 4.946 4.607 10 5.216 4.833 5.453 5.029 5.660 5.197 3.465 3.543 3.606 3.656 3.695 3.726 11 9.787 4.656 4.793 4.910 5.008 5.092 4.035 4.127 3.776 3.851 3.912 3.962 4.001 2.438 2.456 2.469 12 13 10.575 11.348 9.986 6.424 5.842 5.342 4.533 4.203 12.106 10.563 12.849 11.118 6.628 6.811 6.002 5.468 6.142 5.575 4.611 4.675 4.730 4.265 4.315 4.357 4.391 2.478 2.484 2.489 2.492 14 15 16 13.578 11.652 10.106 6.974 6.265 5.668 5.162 4.033 3.751 3.503 6.373 5.749 6.467 5.818 17 14.292 12.166 10.477 9.122 8.022 7.120 5.222 4.775 4.059 4.080 3.771 3.786 3.799 3.808 3.816 3.822 3.518 18 14.992 12.659 10.828 9.372 8.201 7.250 5.273 4.812 4.419 3.529 3.304 3.104 2.494 19 15.678 13.134 11.158 9.604 8.365 3.539 7.366 7.469 7.562 6.550 5.877 5.316 4.843 4.442 4.097 3.311 3.109 2.496 20 21 16.351 13.590 11.470 17.011 14.029 11.764 10.017 8.649 9.818 8.514 6.623 5.929 6.687 5.973 5.353 5.384 5.410 4.870 4.891 4.460 4.110 4.121 3.546 3.316 3.113 3.116 2.497 2.498 2.498 4.476 3.551 3.320 4.909 4.925 22 17.658 14.451 12.042 10.201 8.772 7.645 6.743 6.011 4.488 4.130 3.556 3.323 3.118 23 18.292 14.857 12.303 10.371 8.883 7.718 6.792 6.044 5.432 4.499 4.137 3.827 3.559 3.325 3.120 2.499 24 18.914 15.247 12.550 10.529 8.985 7.784 6.835 6.073 5.451 4.937 4.507 4.143 3.831 3.562 3.327 3.121 2.499 4.948 25 26 19.523 15.622 12.783 10.675 9.077 20.121 7.843 7.896 7.943 6.873 6.097 6.906 6.118 5.467 5.480 4.514 4.147 3.834 3.837 3.564 3.566 3.567 3.329 3.330 3.122 3.123 3.123 2.499 15.983 13.003 10.810 9.161 4.956 4.520 4.151 2.500 27 20.707 16.330 13.211 10.935 9.237 6.935 6.136 5.492 4.964 4.524 4.154 3.839 3.331 2.500 9.307 4.970 4.528 3.568 3.569 28 21.281 16.663 13.406 11.051 7.984 6.961 6.152 5.502 4.157 3.840 3.331 3.124 2.500 8.022 8.055 29 21.844 16.984 13.591 11.158 9.370 6.983 6.166 5.5 10 4.975 4.531 4.159 3.841 3.332 3.124 2.500 30 22.396 17.292 13.765 11.258 9.427 7.003 6.177 5.517 4.979 4.534 4.160 3.842 3.569 3.332 3.124 2.500
EXHIBIT 19B.1
Present Value of $1*
Periods
2%
4%
6%
8%
10%
12%
14%
16%
18%
20%
22%
24%
26%
28%
30%
32%
40%
0.980
0.962
0.925
0.943
0.890
0.926
0.909
0.893
0.877
0.862
0.847
0.833
0.694
0.579
0.820
0.806
0.794
0.781
0.769
0.758
0.714
0.961
0.857
0.826
0.797
0.769
0.743
0.7 18
0.672
0.650
0.630
0.610
0.592
0.574
0.510
0.455
0.350
0.712
0.524 0.500
0.397
0.315
0.942
0.889
0.855
0.822
0.790
0.760
0.731
0.840
0.792
0.747
0.794
0.735
0.681
0.751
0.683
0.621
0.675
0.592
0.641
0.552
0.476
0.609
0.516
0.437
0.551
0.477
0.435
0.364
0.260
0.924
0.636
0.482
0.402
0.451
0.370
0.303
0.249
0.204
0.423
0.373
0.291
0.329
0.250
0.189
0.143
0.108
4.
0.906
0.567
0.519
0.341
0.269
0.186
6.
0.888
0.871
0.853
0.705
0.665
0.627
0.636
0.583
0.540
0.564
0.513
0.467
0.507
0.452
0.404
0.456
0.400
0.351
0.308
0.410
0.354
0.305
0.370
0.335
0.279
0.233
0.275 0.250
0.222 0.198
0.179 0.157
0.227
0.178
0.139
0.207
0.159
0.123
0.133
0.095
0.068
0.314
8.
0.266
0.048
0.035
9.
0.837
0.703
0.592
0.500
0.424
0.361
0.263
0.225
0.194
0.167
0.144
0.125
0.108
0.094
0.082
0.676
0.650
0.558
0.386
0.137
0.112 0.094
0.073
0.056
10
0.820
0.463
0.322
0.270
0.227
0.191
0.162
0.135
0.116
0.099
0.079
0.085
0.062
11
0.804
0.527
0.429
0.350
0.237
0.287
0.257
0.195
0.162
0.066
0.046
0.036
0.025
0.018
0.013
0.009
12
0.788
0.625
0.497
0.397
0.319
0.208
0.168
0.137
0.112
0.092
0.076
0.062
0.052
0.043
13
0.773
0.601
0.290
0.075
0.469
0.442
0.368
0.340
0.315
0.292
0.270
0250
0.229
0.205
0.183
0.182 0.145
0.116
0.093
0.061 0.050 0.040
0.039
0.031
0.033
0.025
0.020
0.027
14
0.758
0.743
0.577
0.555
0.534
0.513
0.263
0.239
0.160
0.140
0.125
0.099
0.084
0.071
0.078
0.065
0.054
0.062
0.049
0.032
0.021
0.016
15
0.417
0.108
0.051
0.040
0.025
0.006
16
17
0.728
0.394
0.371
0.350
0.218
0.163
0.146
0.130
0.123
0.108
0.093
0.080
0.069
0.042
0.034
0.028
0.032
0.025
0.026 0.020
0.021
0.019
0.015
0.015
0.012
0.009
0.012
0.009
0.007
0.005
0.003
0.714
0.198
0.060
0.045
18
0.700
0.494
0.180
0.095
0.051
0.038
0.016
0.012
0.002
19
0.686
0.475
0.331
0.232
0.164
0.116
0.083
0.060
0.043
0.031
0.023
0.017
0.012 0.009
0.007
0.005
0.002
0.149
0.135
20
0.673
0.456
0.312
0.215
0.104
0.073
0.051
0.037
0.026
0.019
0.014 0.010
0.011
0.008
0.007
0.005
0.004
0.004
0.001
21
0.660
0.439
0.294
0.278
0.199
0.093
0.064
0.044
0.031
0.022
0.015
0.006
0.003
0.001
22
0.647
0.422
0.406
0.390
0.184
0.123
0.083
0.056
0.038
0.026
0.018
0.013
0.009 0.006
0.004
0.003
0.002
0.001
23
0.634
0.262
0.170
0.112
0.074
0.049
0.033
0.022
0.015
0.010
0.007 0.005
0.003
0.002
0.002
0.000
24
0.102
0.622
0.610
0.247
0.158
0.066
0.059
0.043
0.028
0.019
0.013
0.008
0.007
0.006
0.005
0.004
0.003
0.002
0.002
0.001
0.000
0.000
0.092
0.084
0.076
0.069
0.063
25
0.375
0.233
0.038
0.001
0.146
0.135
0.024
0.016
0.010
0.003
0.001
0.009
26
27
0.598
0.586
0.574
0.361
0.347
0.220
0.207
0.053
0.047
0.033
0.029
0.021
0.018
0.016
0.014
0.011
0.006
0.007 0.005
0.004
0.003
0.004
0.003
0.002 0.002
0.002 0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.000
0.000
0.125
28
0.333
0.196
0.116
0.042
0.026
0.010
0.008
0.006
0.002 0.002
0.000
0.000
0.000
0.022
0.020
29
0.563
0.321
0.185
0.107
0.037
0.014
0.005
0.002
0.001
0.000
0.000
30
0.552
0.308
0.174
0.099
0.057
0.033
0.012
0.007
0.004
0.003
0.002
0.001
0.001
0.000
0.000
0.000
Transcribed Image Text:EXHIBIT 19B.1 Present Value of $1* Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 40% 0.980 0.962 0.925 0.943 0.890 0.926 0.909 0.893 0.877 0.862 0.847 0.833 0.694 0.579 0.820 0.806 0.794 0.781 0.769 0.758 0.714 0.961 0.857 0.826 0.797 0.769 0.743 0.7 18 0.672 0.650 0.630 0.610 0.592 0.574 0.510 0.455 0.350 0.712 0.524 0.500 0.397 0.315 0.942 0.889 0.855 0.822 0.790 0.760 0.731 0.840 0.792 0.747 0.794 0.735 0.681 0.751 0.683 0.621 0.675 0.592 0.641 0.552 0.476 0.609 0.516 0.437 0.551 0.477 0.435 0.364 0.260 0.924 0.636 0.482 0.402 0.451 0.370 0.303 0.249 0.204 0.423 0.373 0.291 0.329 0.250 0.189 0.143 0.108 4. 0.906 0.567 0.519 0.341 0.269 0.186 6. 0.888 0.871 0.853 0.705 0.665 0.627 0.636 0.583 0.540 0.564 0.513 0.467 0.507 0.452 0.404 0.456 0.400 0.351 0.308 0.410 0.354 0.305 0.370 0.335 0.279 0.233 0.275 0.250 0.222 0.198 0.179 0.157 0.227 0.178 0.139 0.207 0.159 0.123 0.133 0.095 0.068 0.314 8. 0.266 0.048 0.035 9. 0.837 0.703 0.592 0.500 0.424 0.361 0.263 0.225 0.194 0.167 0.144 0.125 0.108 0.094 0.082 0.676 0.650 0.558 0.386 0.137 0.112 0.094 0.073 0.056 10 0.820 0.463 0.322 0.270 0.227 0.191 0.162 0.135 0.116 0.099 0.079 0.085 0.062 11 0.804 0.527 0.429 0.350 0.237 0.287 0.257 0.195 0.162 0.066 0.046 0.036 0.025 0.018 0.013 0.009 12 0.788 0.625 0.497 0.397 0.319 0.208 0.168 0.137 0.112 0.092 0.076 0.062 0.052 0.043 13 0.773 0.601 0.290 0.075 0.469 0.442 0.368 0.340 0.315 0.292 0.270 0250 0.229 0.205 0.183 0.182 0.145 0.116 0.093 0.061 0.050 0.040 0.039 0.031 0.033 0.025 0.020 0.027 14 0.758 0.743 0.577 0.555 0.534 0.513 0.263 0.239 0.160 0.140 0.125 0.099 0.084 0.071 0.078 0.065 0.054 0.062 0.049 0.032 0.021 0.016 15 0.417 0.108 0.051 0.040 0.025 0.006 16 17 0.728 0.394 0.371 0.350 0.218 0.163 0.146 0.130 0.123 0.108 0.093 0.080 0.069 0.042 0.034 0.028 0.032 0.025 0.026 0.020 0.021 0.019 0.015 0.015 0.012 0.009 0.012 0.009 0.007 0.005 0.003 0.714 0.198 0.060 0.045 18 0.700 0.494 0.180 0.095 0.051 0.038 0.016 0.012 0.002 19 0.686 0.475 0.331 0.232 0.164 0.116 0.083 0.060 0.043 0.031 0.023 0.017 0.012 0.009 0.007 0.005 0.002 0.149 0.135 20 0.673 0.456 0.312 0.215 0.104 0.073 0.051 0.037 0.026 0.019 0.014 0.010 0.011 0.008 0.007 0.005 0.004 0.004 0.001 21 0.660 0.439 0.294 0.278 0.199 0.093 0.064 0.044 0.031 0.022 0.015 0.006 0.003 0.001 22 0.647 0.422 0.406 0.390 0.184 0.123 0.083 0.056 0.038 0.026 0.018 0.013 0.009 0.006 0.004 0.003 0.002 0.001 23 0.634 0.262 0.170 0.112 0.074 0.049 0.033 0.022 0.015 0.010 0.007 0.005 0.003 0.002 0.002 0.000 24 0.102 0.622 0.610 0.247 0.158 0.066 0.059 0.043 0.028 0.019 0.013 0.008 0.007 0.006 0.005 0.004 0.003 0.002 0.002 0.001 0.000 0.000 0.092 0.084 0.076 0.069 0.063 25 0.375 0.233 0.038 0.001 0.146 0.135 0.024 0.016 0.010 0.003 0.001 0.009 26 27 0.598 0.586 0.574 0.361 0.347 0.220 0.207 0.053 0.047 0.033 0.029 0.021 0.018 0.016 0.014 0.011 0.006 0.007 0.005 0.004 0.003 0.004 0.003 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.000 0.000 0.125 28 0.333 0.196 0.116 0.042 0.026 0.010 0.008 0.006 0.002 0.002 0.000 0.000 0.000 0.022 0.020 29 0.563 0.321 0.185 0.107 0.037 0.014 0.005 0.002 0.001 0.000 0.000 30 0.552 0.308 0.174 0.099 0.057 0.033 0.012 0.007 0.004 0.003 0.002 0.001 0.001 0.000 0.000 0.000
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