The city of Oak Ridge is considering the construction of a three kilometer​ (km) greenway walking trail. It will cost $1,000 per km to build the trail and $320 per km per year to maintain it over its 23​-year life. If the​ city's MARR is 10​% per​ year, what is the equivalent uniform annual cost of this​ project? Assume the trail has no residual value at the end of 23 years.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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The city of Oak Ridge is considering the construction of a three kilometer​ (km) greenway walking trail. It will cost $1,000 per km to build the trail and $320 per km per year to maintain it over its 23​-year life. If the​ city's MARR is 10​% per​ year, what is the equivalent uniform annual cost of this​ project? Assume the trail has no residual value at the end of 23 years.

Single Payment
Compound
Amount
Factor
To Find F
Present
Worth Factor
To Find P
Given P
Given F
Given A
Given A
Discrete Compounding; /= 10%
Uniform Series
Sinking
Present
Worth Factor
Fund
Factor
Compound
Amount
Factor
To Find F
To Find P
To Find A
Capital
Recovery
Factor
To Find A
Given P
Given F
N
FIP
PIF
FIA
PIA
AIF
AIP
1
1.1000
0.9091
1.0000
0.9091
1.0000
1.1000
2
1.2100
0.8264
2.1000
1.7355
0.4762
0.5762
3
1.3310
0.7513
3.3100
2.4869
0.3021
0.4021
4
1.4641
0.6830
4.6410
3.1699
0.2155
0.3155
5
1.6105
0.6209
6.1051
3.7908
0.1638
0.2638
6
1.7716
0.5645
7.7156
4.3553
0.1296
0.2296
7
1.9487
0.5132
9.4872
4.8684
0.1054
0.2054
8
2.1436
0.4665
11.4359
5.3349
0.0874
0.1874
9
2.3579
0.4241
13.5795
5.7590
0.0736
0.1736
10
2.5937
0.3855
15.9374
6.1446
0.0627
0.1627
11
2.8531
0.3505
18.5312
6.4951
0.0540
0.1540
12
3.1384
0.3186
21.3843
6.8137
0.0468
0.1468
13
3.4523
0.2897
24.5227
7.1034
0.0408
0.1408
14
3.7975
0.2633
27.9750
7.3667
0.0357
0.1357
15
4.1772
0.2394
31.7725
7.6061
0.0315
0.1315
16
4.5950
0.2176
35.9497
7.8237
0.0278
0.1278
17
5.0545
0.1978
40.5447
8.0216
0.0247
0.1247
18
5.5599
0.1799
45.5992
8.2014
0.0219
0.1219
19
6.1159
0.1635
51.1591
8.3649
0.0195
0.1195
20
6.7275
0.1486
57.2750
8.5136
0.0175
0.1175
21
7.4002
0.1351
64.0025
8.6487
0.0156
0.1156
22
8.1403
0.1228
71.4027
8.7715
0.0140
0.1140
23
8.9543
0.1117
79.5430
8.8832
0.0126
0.1126
24
9.8497
0.1015
88.4973
8.9847
0.0113
0.1113
25
10.8347
0.0923
98.3471
9.0770
0.0102
0.1102
30
17.4494
0.0573
164.4940
9.4269
0.0061
0.1061
35
28.1024
0.0356
271.0244
9.6442
0.0037
0.1037
40
45.2593
0.0221
442.5926
9.7791
0.0023
0.1023
45
72.8905
0.0137
718.9048
9.8628
0.0014
0.1014
50
117.3909
0.0085
1163.9085
9.9148
0.0009
0.1009
Transcribed Image Text:Single Payment Compound Amount Factor To Find F Present Worth Factor To Find P Given P Given F Given A Given A Discrete Compounding; /= 10% Uniform Series Sinking Present Worth Factor Fund Factor Compound Amount Factor To Find F To Find P To Find A Capital Recovery Factor To Find A Given P Given F N FIP PIF FIA PIA AIF AIP 1 1.1000 0.9091 1.0000 0.9091 1.0000 1.1000 2 1.2100 0.8264 2.1000 1.7355 0.4762 0.5762 3 1.3310 0.7513 3.3100 2.4869 0.3021 0.4021 4 1.4641 0.6830 4.6410 3.1699 0.2155 0.3155 5 1.6105 0.6209 6.1051 3.7908 0.1638 0.2638 6 1.7716 0.5645 7.7156 4.3553 0.1296 0.2296 7 1.9487 0.5132 9.4872 4.8684 0.1054 0.2054 8 2.1436 0.4665 11.4359 5.3349 0.0874 0.1874 9 2.3579 0.4241 13.5795 5.7590 0.0736 0.1736 10 2.5937 0.3855 15.9374 6.1446 0.0627 0.1627 11 2.8531 0.3505 18.5312 6.4951 0.0540 0.1540 12 3.1384 0.3186 21.3843 6.8137 0.0468 0.1468 13 3.4523 0.2897 24.5227 7.1034 0.0408 0.1408 14 3.7975 0.2633 27.9750 7.3667 0.0357 0.1357 15 4.1772 0.2394 31.7725 7.6061 0.0315 0.1315 16 4.5950 0.2176 35.9497 7.8237 0.0278 0.1278 17 5.0545 0.1978 40.5447 8.0216 0.0247 0.1247 18 5.5599 0.1799 45.5992 8.2014 0.0219 0.1219 19 6.1159 0.1635 51.1591 8.3649 0.0195 0.1195 20 6.7275 0.1486 57.2750 8.5136 0.0175 0.1175 21 7.4002 0.1351 64.0025 8.6487 0.0156 0.1156 22 8.1403 0.1228 71.4027 8.7715 0.0140 0.1140 23 8.9543 0.1117 79.5430 8.8832 0.0126 0.1126 24 9.8497 0.1015 88.4973 8.9847 0.0113 0.1113 25 10.8347 0.0923 98.3471 9.0770 0.0102 0.1102 30 17.4494 0.0573 164.4940 9.4269 0.0061 0.1061 35 28.1024 0.0356 271.0244 9.6442 0.0037 0.1037 40 45.2593 0.0221 442.5926 9.7791 0.0023 0.1023 45 72.8905 0.0137 718.9048 9.8628 0.0014 0.1014 50 117.3909 0.0085 1163.9085 9.9148 0.0009 0.1009
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