| Benefit-Cost Analysis of Metro-Dade Mass Transit | | | | | Dr. Pallab Mozumder | Intro to Env Econ Class |
| My SSN (or any other unique 9 digit no) | New No. | Codes | | Final Results: |
| 0 | 10 | X1 | | Variables | Financial | Economic |
| 0 | 10 | X2 | | | B-C Analysis | B-C Analysis |
| 0 | 10 | X3 |
| 0 | 10 | X4 | | PV Benefits | 4,742,684,831 | 26,987,141,613 |
| 0 | 10 | X5 | | PV Costs | 11,900,754,648 | 17,576,808,837 |
| 0 | 10 | X6 | | NPV | -7,158,069,817 | 9,410,332,777 |
| 0 | 10 | X7 | | B-C Ratio | 0.40 | 1.54 |
| 0 | 10 | X8 |
| 0 | 10 | X9 |
| | 90 | X10 |
| Current Gasoline Price ($/gal) = | | | 1.60 | | Initial cost outlay = | 280,000,000 |
| Annual Rate of Increase in Gasoline Price = | | | 3% | | | | Discount rate = | 10 |
| Current Population = | | | 200,000 | | Annual pop growth = | 1.25% |
| Problem 1. Projection of Passenger Trips with and without the Project |
| Years | Population | Daily total PT | Annual PT | Without Project | | | With Project |
| | | | | Annual Car PT | Annual Bus PT | Annual Train PT | Annual Car PT | Annual Bus PT | Annual Train PT |
| (a) | (b) | (c) | (d) | (e) | (f) | (g) | (h) | (i) | (j) |
| | | (b)*X6 | (c)*(52*5-20) | (d)*0.8 | (d)*0.2 | | (e) or (e)*0.1 | (f) or 0 | 0 or (e)*0.9+(f) |
| 0 | 200,000 | 2,000,000 | 480,000,000 | 384,000,000 | 96,000,000 | 0 | 384,000,000 | 96,000,000 | 0 |
| 1 | 202,500 | 2,025,000 | 486,000,000 | 388,800,000 | 97,200,000 | 0 | 388,800,000 | 97,200,000 | 0 |
| 2 | 205,031 | 2,050,313 | 492,075,000 | 393,660,000 | 98,415,000 | 0 | 393,660,000 | 98,415,000 | 0 |
| 3 | 207,594 | 2,075,941 | 498,225,938 | 398,580,750 | 99,645,188 | 0 | 398,580,750 | 99,645,188 | 0 |
| 4 | 210,189 | 2,101,891 | 504,453,762 | 403,563,009 | 100,890,752 | 0 | 40,356,301 | 0 | 464,097,461 |
| 5 | 212,816 | 2,128,164 | 510,759,434 | 408,607,547 | 102,151,887 | 0 | 40,860,755 | 0 | 469,898,679 |
| 6 | 215,477 | 2,154,766 | 517,143,927 | 413,715,141 | 103,428,785 | 0 | 41,371,514 | 0 | 475,772,413 |
| 7 | 218,170 | 2,181,701 | 523,608,226 | 418,886,581 | 104,721,645 | 0 | 41,888,658 | 0 | 481,719,568 |
| 8 | 220,897 | 2,208,972 | 530,153,329 | 424,122,663 | 106,030,666 | 0 | 42,412,266 | 0 | 487,741,062 |
| 9 | 223,658 | 2,236,584 | 536,780,245 | 429,424,196 | 107,356,049 | 0 | 42,942,420 | 0 | 493,837,826 |
| 10 | 226,454 | 2,264,542 | 543,489,998 | 434,791,999 | 108,698,000 | 0 | 43,479,200 | 0 | 500,010,798 |
| 11 | 229,285 | 2,292,848 | 550,283,623 | 440,226,899 | 110,056,725 | 0 | 44,022,690 | 0 | 506,260,933 |
| 12 | 232,151 | 2,321,509 | 557,162,169 | 445,729,735 | 111,432,434 | 0 | 44,572,973 | 0 | 512,589,195 |
| 13 | 235,053 | 2,350,528 | 564,126,696 | 451,301,356 | 112,825,339 | 0 | 45,130,136 | 0 | 518,996,560 |
| 14 | 237,991 | 2,379,909 | 571,178,279 | 456,942,623 | 114,235,656 | 0 | 45,694,262 | 0 | 525,484,017 |
| 15 | 240,966 | 2,409,658 | 578,318,008 | 462,654,406 | 115,663,602 | 0 | 46,265,441 | 0 | 532,052,567 |
| 16 | 243,978 | 2,439,779 | 585,546,983 | 468,437,586 | 117,109,397 | 0 | 46,843,759 | 0 | 538,703,224 |
| 17 | 247,028 | 2,470,276 | 592,866,320 | 474,293,056 | 118,573,264 | 0 | 47,429,306 | 0 | 545,437,015 |
| 18 | 250,115 | 2,501,155 | 600,277,149 | 480,221,719 | 120,055,430 | 0 | 48,022,172 | 0 | 552,254,977 |
| 19 | 253,242 | 2,532,419 | 607,780,614 | 486,224,491 | 121,556,123 | 0 | 48,622,449 | 0 | 559,158,164 |
| 20 | 256,407 | 2,564,074 | 615,377,871 | 492,302,297 | 123,075,574 | 0 | 49,230,230 | 0 | 566,147,642 |
| 21 | 259,613 | 2,596,125 | 623,070,095 | 498,456,076 | 124,614,019 | 0 | 49,845,608 | 0 | 573,224,487 |
| 22 | 262,858 | 2,628,577 | 630,858,471 | 504,686,777 | 126,171,694 | 0 | 50,468,678 | 0 | 580,389,793 |
| 23 | 266,143 | 2,661,434 | 638,744,202 | 510,995,361 | 127,748,840 | 0 | 51,099,536 | 0 | 587,644,666 |
| 24 | 269,470 | 2,694,702 | 646,728,504 | 517,382,803 | 129,345,701 | 0 | 51,738,280 | 0 | 594,990,224 |
| 25 | 272,839 | 2,728,386 | 654,812,611 | 523,850,088 | 130,962,522 | 0 | 52,385,009 | 0 | 602,427,602 |
| 26 | 276,249 | 2,762,491 | 662,997,768 | 530,398,215 | 132,599,554 | 0 | 53,039,821 | 0 | 609,957,947 |
| 27 | 279,702 | 2,797,022 | 671,285,240 | 537,028,192 | 134,257,048 | 0 | 53,702,819 | 0 | 617,582,421 |
| 28 | 283,198 | 2,831,985 | 679,676,306 | 543,741,045 | 135,935,261 | 0 | 54,374,104 | 0 | 625,302,201 |
| 29 | 286,738 | 2,867,384 | 688,172,260 | 550,537,808 | 137,634,452 | 0 | 55,053,781 | 0 | 633,118,479 |
| 30 | 290,323 | 2,903,227 | 696,774,413 | 557,419,530 | 139,354,883 | 0 | 55,741,953 | 0 | 641,032,460 |
| Problem 2. Financial Benefit-Cost Analysis |
| Year | Initial | Annual Fixed | Annual Oper. | Prop. Compen- | Total | Train Fare | Total Train | Discounted | Discounted Total |
| | Costs | Costs | Costs | sation | Costs | ($/PT) | Fare Benefits | Total Costs | Benefits |
| (k) | (l) | (m) | (n) | (o) | (p) | (q) | (r) | (s) | (t) |
| | | X10*1,000,000 | (j)*(X2+X4+X6)* | 10*X5*1000000* | (l)+(m)+(n)+(o) | | (j)*(q) | PV of (p) | PV of (r) |
| | | | X8/100 | 1.5+500*3000* |
| | | | | X10*1.5 |
| 0 | 70,000,000 | 0 | 0 | 352,500,000 | 422,500,000 | 0 | 0 | 422,500,000 | 0 |
| 1 | 70,000,000 | 0 | 0 | 0 | 70,000,000 | 0 | 0 | 63,636,364 | 0 |
| 2 | 70,000,000 | 0 | 0 | 0 | 70,000,000 | 0 | 0 | 57,851,240 | 0 |
| 3 | 70,000,000 | 0 | 0 | 0 | 70,000,000 | 0 | 0 | 52,592,036 | 0 |
| 4 | 0 | 90,000,000 | 1,392,292,382 | 0 | 1,482,292,382 | 1.20 | 556,916,953 | 1,012,425,642 | 380,381,772 |
| 5 | 0 | 90,000,000 | 1,409,696,037 | 0 | 1,499,696,037 | 1.20 | 563,878,415 | 931,193,248 | 350,124,131 |
| 6 | 0 | 90,000,000 | 1,427,317,238 | 0 | 1,517,317,238 | 1.20 | 570,926,895 | 856,486,024 | 322,273,348 |
| 7 | 0 | 90,000,000 | 1,445,158,703 | 0 | 1,535,158,703 | 1.20 | 578,063,481 | 787,779,151 | 296,637,968 |
| 8 | 0 | 90,000,000 | 1,463,223,187 | 0 | 1,553,223,187 | 1.20 | 585,289,275 | 724,590,080 | 273,041,766 |
| 9 | 0 | 90,000,000 | 1,481,513,477 | 0 | 1,571,513,477 | 1.20 | 592,605,391 | 666,475,123 | 251,322,535 |
| 10 | 0 | 90,000,000 | 1,500,032,395 | 0 | 1,590,032,395 | 1.20 | 600,012,958 | 613,026,320 | 231,330,970 |
| 11 | 0 | 90,000,000 | 1,518,782,800 | 0 | 1,608,782,800 | 1.40 | 708,765,307 | 563,868,557 | 248,417,916 |
| 12 | 0 | 90,000,000 | 1,537,767,585 | 0 | 1,627,767,585 | 1.40 | 717,624,873 | 518,656,917 | 228,657,400 |
| 13 | 0 | 90,000,000 | 1,556,989,680 | 0 | 1,646,989,680 | 1.40 | 726,595,184 | 477,074,244 | 210,468,743 |
| 14 | 0 | 90,000,000 | 1,576,452,051 | 0 | 1,666,452,051 | 1.40 | 735,677,624 | 438,828,909 | 193,726,911 |
| 15 | 0 | 90,000,000 | 1,596,157,702 | 0 | 1,686,157,702 | 1.40 | 744,873,594 | 403,652,748 | 178,316,816 |
| 16 | 0 | 90,000,000 | 1,616,109,673 | 0 | 1,706,109,673 | 1.40 | 754,184,514 | 371,299,174 | 164,132,524 |
| 17 | 0 | 90,000,000 | 1,636,311,044 | 0 | 1,726,311,044 | 1.40 | 763,611,820 | 341,541,437 | 151,076,528 |
| 18 | 0 | 90,000,000 | 1,656,764,932 | 0 | 1,746,764,932 | 1.40 | 773,156,968 | 314,171,027 | 139,059,077 |
| 19 | 0 | 90,000,000 | 1,677,474,493 | 0 | 1,767,474,493 | 1.40 | 782,821,430 | 288,996,203 | 127,997,559 |
| 20 | 0 | 90,000,000 | 1,698,442,925 | 0 | 1,788,442,925 | 1.40 | 792,606,698 | 265,840,645 | 117,815,935 |
| 21 | 0 | 90,000,000 | 1,719,673,461 | 0 | 1,809,673,461 | 1.60 | 917,159,179 | 244,542,208 | 123,936,244 |
| 22 | 0 | 90,000,000 | 1,741,169,379 | 0 | 1,831,169,379 | 1.60 | 928,623,669 | 224,951,785 | 114,077,679 |
| 23 | 0 | 90,000,000 | 1,762,933,997 | 0 | 1,852,933,997 | 1.60 | 940,231,465 | 206,932,255 | 105,003,318 |
| 24 | 0 | 90,000,000 | 1,784,970,672 | 0 | 1,874,970,672 | 1.60 | 951,984,358 | 190,357,519 | 96,650,781 |
| 25 | 0 | 90,000,000 | 1,807,282,805 | 0 | 1,897,282,805 | 1.60 | 963,884,163 | 175,111,610 | 88,962,651 |
| 26 | 0 | 90,000,000 | 1,829,873,840 | 0 | 1,919,873,840 | 1.60 | 975,932,715 | 161,087,884 | 81,886,076 |
| 27 | 0 | 90,000,000 | 1,852,747,263 | 0 | 1,942,747,263 | 1.60 | 988,131,874 | 148,188,263 | 75,372,411 |
| 28 | 0 | 90,000,000 | 1,875,906,604 | 0 | 1,965,906,604 | 1.60 | 1,000,483,522 | 136,322,549 | 69,376,879 |
| 29 | 0 | 90,000,000 | 1,899,355,436 | 0 | 1,989,355,436 | 1.60 | 1,012,989,566 | 125,407,790 | 63,858,263 |
| 30 | 0 | 90,000,000 | 1,923,097,379 | 0 | 2,013,097,379 | 1.60 | 1,025,651,936 | 115,367,698 | 58,778,629 |
| | | | | | | | PV (total) | 11,900,754,648 | 4,742,684,831 |
| | | | | | | | NPV | | -7,158,069,817 |
| | | | | | | | B-C Ratio | | 0.40 |
| Problem 3. Economic (Society's) Benefit-Cost Analysis |
| Computing Project's Social Costs |
| Year | Initial | Annual Fixed | Annual Oper. | Prop. Compen- | Costs of Traffic | Total |
| | Costs | Costs | Costs | sation | Delay | Costs |
| (u) | (v) | (w) | (x) | (y) | (z) | (aa) |
| | = (l) | = (m) | = (n) | = (o) | (d)*(X6)*(X5+X8)/60 | (v)+ ... +(z) |
| 0 | 70,000,000 | 0 | 0 | 352,500,000 | 1,600,000,000 | 2,022,500,000 |
| 1 | 70,000,000 | 0 | 0 | 0 | 1,620,000,000 | 1,690,000,000 |
| 2 | 70,000,000 | 0 | 0 | 0 | 1,640,250,000 | 1,710,250,000 |
| 3 | 70,000,000 | 0 | 0 | 0 | 1,660,753,125 | 1,730,753,125 |
| 4 | 0 | 90,000,000 | 1,392,292,382 | 0 | 0 | 1,482,292,382 |
| 5 | 0 | 90,000,000 | 1,409,696,037 | 0 | 0 | 1,499,696,037 |
| 6 | 0 | 90,000,000 | 1,427,317,238 | 0 | 0 | 1,517,317,238 |
| 7 | 0 | 90,000,000 | 1,445,158,703 | 0 | 0 | 1,535,158,703 |
| 8 | 0 | 90,000,000 | 1,463,223,187 | 0 | 0 | 1,553,223,187 |
| 9 | 0 | 90,000,000 | 1,481,513,477 | 0 | 0 | 1,571,513,477 |
| 10 | 0 | 90,000,000 | 1,500,032,395 | 0 | 0 | 1,590,032,395 |
| 11 | 0 | 90,000,000 | 1,518,782,800 | 0 | 0 | 1,608,782,800 |
| 12 | 0 | 90,000,000 | 1,537,767,585 | 0 | 0 | 1,627,767,585 |
| 13 | 0 | 90,000,000 | 1,556,989,680 | 0 | 0 | 1,646,989,680 |
| 14 | 0 | 90,000,000 | 1,576,452,051 | 0 | 0 | 1,666,452,051 |
| 15 | 0 | 90,000,000 | 1,596,157,702 | 0 | 0 | 1,686,157,702 |
| 16 | 0 | 90,000,000 | 1,616,109,673 | 0 | 0 | 1,706,109,673 |
| 17 | 0 | 90,000,000 | 1,636,311,044 | 0 | 0 | 1,726,311,044 |
| 18 | 0 | 90,000,000 | 1,656,764,932 | 0 | 0 | 1,746,764,932 |
| 19 | 0 | 90,000,000 | 1,677,474,493 | 0 | 0 | 1,767,474,493 |
| 20 | 0 | 90,000,000 | 1,698,442,925 | 0 | 0 | 1,788,442,925 |
| 21 | 0 | 90,000,000 | 1,719,673,461 | 0 | 0 | 1,809,673,461 |
| 22 | 0 | 90,000,000 | 1,741,169,379 | 0 | 0 | 1,831,169,379 |
| 23 | 0 | 90,000,000 | 1,762,933,997 | 0 | 0 | 1,852,933,997 |
| 24 | 0 | 90,000,000 | 1,784,970,672 | 0 | 0 | 1,874,970,672 |
| 25 | 0 | 90,000,000 | 1,807,282,805 | 0 | 0 | 1,897,282,805 |
| 26 | 0 | 90,000,000 | 1,829,873,840 | 0 | 0 | 1,919,873,840 |
| 27 | 0 | 90,000,000 | 1,852,747,263 | 0 | 0 | 1,942,747,263 |
| 28 | 0 | 90,000,000 | 1,875,906,604 | 0 | 0 | 1,965,906,604 |
| 29 | 0 | 90,000,000 | 1,899,355,436 | 0 | 0 | 1,989,355,436 |
| 30 | 0 | 90,000,000 | 1,923,097,379 | 0 | 0 | 2,013,097,379 |
| Computing Social Benefits: Net benefits from reduced gasoline reduction | | | | | | | Annual gas consumption occurs for two reasons: (a) reduction in annual PT, and |
| | | | | | | | (b) increase in fuel efficiency (from 18 gallons/mile to 25 gallons/mile). |
| Year | Annual Car and | Annual Miles | Ann. Gas Consum. | Annual Car and | Annual Miles | Ann. Gas Consum. | Savings in | Gasoline Price | Value (Benefit) of |
| | Bus PT w/out Pro | Traveled (w/out) | w/out Project (gal) | Bus PT w/Pro | Traveled (w/ Pro) | w/ Project (gal) | Gas Consumption | ($/gal) | Gas Saved |
| (ab) | (ac) | (ad) | (ae) | (af) | (ag) | (ah) | (ai) | (aj) | (ak) |
| | = (d) | (ac)*(X2+X4+X6) | (ad)/18 | (h)+(i) | (af)*(X2+X4+X6) | (ag)/18 or (ag)/25 | (ae)-(ah) | | (ai)*(aj) |
| 0 | 480,000,000 | 14,400,000,000 | 800,000,000 | 480,000,000 | 14,400,000,000 | 800,000,000 | 0 | 1.60 | 0 |
| 1 | 486,000,000 | 14,580,000,000 | 810,000,000 | 486,000,000 | 14,580,000,000 | 810,000,000 | 0 | 1.65 | 0 |
| 2 | 492,075,000 | 14,762,250,000 | 820,125,000 | 492,075,000 | 14,762,250,000 | 820,125,000 | 0 | 1.70 | 0 |
| 3 | 498,225,938 | 14,946,778,125 | 830,376,563 | 498,225,938 | 14,946,778,125 | 830,376,563 | 0 | 1.75 | 0 |
| 4 | 504,453,762 | 15,133,612,852 | 840,756,270 | 40,356,301 | 1,210,689,028 | 48,427,561 | 792,328,708 | 1.80 | 1,426,836,707 |
| 5 | 510,759,434 | 15,322,783,012 | 851,265,723 | 40,860,755 | 1,225,822,641 | 49,032,906 | 802,232,817 | 1.85 | 1,488,012,331 |
| 6 | 517,143,927 | 15,514,317,800 | 861,906,544 | 41,371,514 | 1,241,145,424 | 49,645,817 | 812,260,727 | 1.91 | 1,551,810,859 |
| 7 | 523,608,226 | 15,708,246,772 | 872,680,376 | 41,888,658 | 1,256,659,742 | 50,266,390 | 822,413,987 | 1.97 | 1,618,344,750 |
| 8 | 530,153,329 | 15,904,599,857 | 883,588,881 | 42,412,266 | 1,272,367,989 | 50,894,720 | 832,694,161 | 2.03 | 1,687,731,281 |
| 9 | 536,780,245 | 16,103,407,355 | 894,633,742 | 42,942,420 | 1,288,272,588 | 51,530,904 | 843,102,838 | 2.09 | 1,760,092,760 |
| 10 | 543,489,998 | 16,304,699,947 | 905,816,664 | 43,479,200 | 1,304,375,996 | 52,175,040 | 853,641,624 | 2.15 | 1,835,556,737 |
| 11 | 550,283,623 | 16,508,508,697 | 917,139,372 | 44,022,690 | 1,320,680,696 | 52,827,228 | 864,312,144 | 2.21 | 1,914,256,232 |
| 12 | 557,162,169 | 16,714,865,055 | 928,603,614 | 44,572,973 | 1,337,189,204 | 53,487,568 | 875,116,046 | 2.28 | 1,996,329,968 |
| 13 | 564,126,696 | 16,923,800,868 | 940,211,159 | 45,130,136 | 1,353,904,069 | 54,156,163 | 886,054,997 | 2.35 | 2,081,922,615 |
| 14 | 571,178,279 | 17,135,348,379 | 951,963,799 | 45,694,262 | 1,370,827,870 | 54,833,115 | 897,130,684 | 2.42 | 2,171,185,047 |
| 15 | 578,318,008 | 17,349,540,234 | 963,863,346 | 46,265,441 | 1,387,963,219 | 55,518,529 | 908,344,818 | 2.49 | 2,264,274,606 |
| 16 | 585,546,983 | 17,566,409,487 | 975,911,638 | 46,843,759 | 1,405,312,759 | 56,212,510 | 919,699,128 | 2.57 | 2,361,355,380 |
| 17 | 592,866,320 | 17,785,989,606 | 988,110,534 | 47,429,306 | 1,422,879,168 | 56,915,167 | 931,195,367 | 2.64 | 2,462,598,492 |
| 18 | 600,277,149 | 18,008,314,476 | 1,000,461,915 | 48,022,172 | 1,440,665,158 | 57,626,606 | 942,835,309 | 2.72 | 2,568,182,402 |
| 19 | 607,780,614 | 18,233,418,407 | 1,012,967,689 | 48,622,449 | 1,458,673,473 | 58,346,939 | 954,620,750 | 2.81 | 2,678,293,223 |
| 20 | 615,377,871 | 18,461,336,137 | 1,025,629,785 | 49,230,230 | 1,476,906,891 | 59,076,276 | 966,553,510 | 2.89 | 2,793,125,045 |
| 21 | 623,070,095 | 18,692,102,838 | 1,038,450,158 | 49,845,608 | 1,495,368,227 | 59,814,729 | 978,635,429 | 2.98 | 2,912,880,281 |
| 22 | 630,858,471 | 18,925,754,124 | 1,051,430,785 | 50,468,678 | 1,514,060,330 | 60,562,413 | 990,868,371 | 3.07 | 3,037,770,023 |
| 23 | 638,744,202 | 19,162,326,050 | 1,064,573,669 | 51,099,536 | 1,532,986,084 | 61,319,443 | 1,003,254,226 | 3.16 | 3,168,014,413 |
| 24 | 646,728,504 | 19,401,855,126 | 1,077,880,840 | 51,738,280 | 1,552,148,410 | 62,085,936 | 1,015,794,904 | 3.25 | 3,303,843,031 |
| 25 | 654,812,611 | 19,644,378,315 | 1,091,354,351 | 52,385,009 | 1,571,550,265 | 62,862,011 | 1,028,492,340 | 3.35 | 3,445,495,300 |
| 26 | 662,997,768 | 19,889,933,044 | 1,104,996,280 | 53,039,821 | 1,591,194,644 | 63,647,786 | 1,041,348,494 | 3.45 | 3,593,220,911 |
| 27 | 671,285,240 | 20,138,557,207 | 1,118,808,734 | 53,702,819 | 1,611,084,577 | 64,443,383 | 1,054,365,351 | 3.55 | 3,747,280,258 |
| 28 | 679,676,306 | 20,390,289,172 | 1,132,793,843 | 54,374,104 | 1,631,223,134 | 65,248,925 | 1,067,544,918 | 3.66 | 3,907,944,899 |
| 29 | 688,172,260 | 20,645,167,787 | 1,146,953,766 | 55,053,781 | 1,651,613,423 | 66,064,537 | 1,080,889,229 | 3.77 | 4,075,498,037 |
| 30 | 696,774,413 | 20,903,232,384 | 1,161,290,688 | 55,741,953 | 1,672,258,591 | 66,890,344 | 1,094,400,344 | 3.88 | 4,250,235,015 |
| Computing Social Benefits: Benefits from reduced car and bus accidents, benefits of improved air quality, and benefits of reduced travel time. |
| Year | Annual Car & Bus | Annual Car & Bus | Reduction in | Number of Accidents Avoided | | | Benefits of Accidents Avoided | | | | Benefits of Impro. | Benefits of Trav. |
| | PT w/out Project | PT w/Pro | Annual C&B PT | Fatal | Serious | Minor | Fatal | Serious | Minor | Total | Air Quality | Time Saved |
| (an) | (ao) | (ap) | (aq) | (ar) | (as) | (at) | (au) | (av) | (aw) | (ax) | (ay) | (ayy) |
| | (d) | (h)+(i) | (ao)-(ap) | [0.01*(aq)/1 mil] | [0.5*(aq)/1 mil] | [2*(aq)/1 mil] | (ar)*900000 | (as)*100000 | (at)*10000 | (au)+(av)+(aw) | 0 or 5*X2*75*20000 | 0 or (j)*X7*(X2+X8)/60 |
| 0 | 480,000,000 | 480,000,000 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 486,000,000 | 486,000,000 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 492,075,000 | 492,075,000 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 498,225,938 | 498,225,938 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 4 | 504,453,762 | 40,356,301 | 464,097,461 | 5 | 232 | 928 | 4,176,877 | 23,204,873 | 9,281,949 | 36,663,699 | 75,000,000 | 1,546,991,536 |
| 5 | 510,759,434 | 40,860,755 | 469,898,679 | 5 | 235 | 940 | 4,229,088 | 23,494,934 | 9,397,974 | 37,121,996 | 75,000,000 | 1,566,328,930 |
| 6 | 517,143,927 | 41,371,514 | 475,772,413 | 5 | 238 | 952 | 4,281,952 | 23,788,621 | 9,515,448 | 37,586,021 | 75,000,000 | 1,585,908,042 |
| 7 | 523,608,226 | 41,888,658 | 481,719,568 | 5 | 241 | 963 | 4,335,476 | 24,085,978 | 9,634,391 | 38,055,846 | 75,000,000 | 1,605,731,892 |
| 8 | 530,153,329 | 42,412,266 | 487,741,062 | 5 | 244 | 975 | 4,389,670 | 24,387,053 | 9,754,821 | 38,531,544 | 75,000,000 | 1,625,803,541 |
| 9 | 536,780,245 | 42,942,420 | 493,837,826 | 5 | 247 | 988 | 4,444,540 | 24,691,891 | 9,876,757 | 39,013,188 | 75,000,000 | 1,646,126,085 |
| 10 | 543,489,998 | 43,479,200 | 500,010,798 | 5 | 250 | 1,000 | 4,500,097 | 25,000,540 | 10,000,216 | 39,500,853 | 75,000,000 | 1,666,702,661 |
| 11 | 550,283,623 | 44,022,690 | 506,260,933 | 5 | 253 | 1,013 | 4,556,348 | 25,313,047 | 10,125,219 | 39,994,614 | 75,000,000 | 1,687,536,445 |
| 12 | 557,162,169 | 44,572,973 | 512,589,195 | 5 | 256 | 1,025 | 4,613,303 | 25,629,460 | 10,251,784 | 40,494,546 | 75,000,000 | 1,708,630,650 |
| 13 | 564,126,696 | 45,130,136 | 518,996,560 | 5 | 259 | 1,038 | 4,670,969 | 25,949,828 | 10,379,931 | 41,000,728 | 75,000,000 | 1,729,988,533 |
| 14 | 571,178,279 | 45,694,262 | 525,484,017 | 5 | 263 | 1,051 | 4,729,356 | 26,274,201 | 10,509,680 | 41,513,237 | 75,000,000 | 1,751,613,390 |
| 15 | 578,318,008 | 46,265,441 | 532,052,567 | 5 | 266 | 1,064 | 4,788,473 | 26,602,628 | 10,641,051 | 42,032,153 | 75,000,000 | 1,773,508,557 |
| 16 | 585,546,983 | 46,843,759 | 538,703,224 | 5 | 269 | 1,077 | 4,848,329 | 26,935,161 | 10,774,064 | 42,557,555 | 75,000,000 | 1,795,677,414 |
| 17 | 592,866,320 | 47,429,306 | 545,437,015 | 5 | 273 | 1,091 | 4,908,933 | 27,271,851 | 10,908,740 | 43,089,524 | 75,000,000 | 1,818,123,382 |
| 18 | 600,277,149 | 48,022,172 | 552,254,977 | 6 | 276 | 1,105 | 4,970,295 | 27,612,749 | 11,045,100 | 43,628,143 | 75,000,000 | 1,840,849,924 |
| 19 | 607,780,614 | 48,622,449 | 559,158,164 | 6 | 280 | 1,118 | 5,032,423 | 27,957,908 | 11,183,163 | 44,173,495 | 75,000,000 | 1,863,860,548 |
| 20 | 615,377,871 | 49,230,230 | 566,147,642 | 6 | 283 | 1,132 | 5,095,329 | 28,307,382 | 11,322,953 | 44,725,664 | 75,000,000 | 1,887,158,805 |
| 21 | 623,070,095 | 49,845,608 | 573,224,487 | 6 | 287 | 1,146 | 5,159,020 | 28,661,224 | 11,464,490 | 45,284,734 | 75,000,000 | 1,910,748,290 |
| 22 | 630,858,471 | 50,468,678 | 580,389,793 | 6 | 290 | 1,161 | 5,223,508 | 29,019,490 | 11,607,796 | 45,850,794 | 75,000,000 | 1,934,632,644 |
| 23 | 638,744,202 | 51,099,536 | 587,644,666 | 6 | 294 | 1,175 | 5,288,802 | 29,382,233 | 11,752,893 | 46,423,929 | 75,000,000 | 1,958,815,552 |
| 24 | 646,728,504 | 51,738,280 | 594,990,224 | 6 | 297 | 1,190 | 5,354,912 | 29,749,511 | 11,899,804 | 47,004,228 | 75,000,000 | 1,983,300,746 |
| 25 | 654,812,611 | 52,385,009 | 602,427,602 | 6 | 301 | 1,205 | 5,421,848 | 30,121,380 | 12,048,552 | 47,591,781 | 75,000,000 | 2,008,092,006 |
| 26 | 662,997,768 | 53,039,821 | 609,957,947 | 6 | 305 | 1,220 | 5,489,622 | 30,497,897 | 12,199,159 | 48,186,678 | 75,000,000 | 2,033,193,156 |
| 27 | 671,285,240 | 53,702,819 | 617,582,421 | 6 | 309 | 1,235 | 5,558,242 | 30,879,121 | 12,351,648 | 48,789,011 | 75,000,000 | 2,058,608,070 |
| 28 | 679,676,306 | 54,374,104 | 625,302,201 | 6 | 313 | 1,251 | 5,627,720 | 31,265,110 | 12,506,044 | 49,398,874 | 75,000,000 | 2,084,340,671 |
| 29 | 688,172,260 | 55,053,781 | 633,118,479 | 6 | 317 | 1,266 | 5,698,066 | 31,655,924 | 12,662,370 | 50,016,360 | 75,000,000 | 2,110,394,929 |
| 30 | 696,774,413 | 55,741,953 | 641,032,460 | 6 | 321 | 1,282 | 5,769,292 | 32,051,623 | 12,820,649 | 50,641,564 | 75,000,000 | 2,136,774,866 |
| Computing Benefits: Total Project Benefits |
| Year | Benefits from | Benefits of Redu. | Benefits of Impro. | Benefits of Travel | Total Project |
| | Gas Reducn. | Traffic accidents | Air Quality | Time Saved | Benefits |
| (ayyy) | (az) | (ba) | (bb) | (bc) | (bcc) |
| | = (ak) | = (ax) | = (ay) | = ayy | (az)+(ba)+(bb)+(bc) |
| 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 |
| 2 | 0 | 0 | 0 | 0 | 0 |
| 3 | 0 | 0 | 0 | 0 | 0 |
| 4 | 1,426,836,707 | 36,663,699 | 75,000,000 | 1,546,991,536 | 3,085,491,942 |
| 5 | 1,488,012,331 | 37,121,996 | 75,000,000 | 1,566,328,930 | 3,166,463,256 |
| 6 | 1,551,810,859 | 37,586,021 | 75,000,000 | 1,585,908,042 | 3,250,304,922 |
| 7 | 1,618,344,750 | 38,055,846 | 75,000,000 | 1,605,731,892 | 3,337,132,488 |
| 8 | 1,687,731,281 | 38,531,544 | 75,000,000 | 1,625,803,541 | 3,427,066,366 |
| 9 | 1,760,092,760 | 39,013,188 | 75,000,000 | 1,646,126,085 | 3,520,232,033 |
| 10 | 1,835,556,737 | 39,500,853 | 75,000,000 | 1,666,702,661 | 3,616,760,251 |
| 11 | 1,914,256,232 | 39,994,614 | 75,000,000 | 1,687,536,445 | 3,716,787,290 |
| 12 | 1,996,329,968 | 40,494,546 | 75,000,000 | 1,708,630,650 | 3,820,455,164 |
| 13 | 2,081,922,615 | 41,000,728 | 75,000,000 | 1,729,988,533 | 3,927,911,877 |
| 14 | 2,171,185,047 | 41,513,237 | 75,000,000 | 1,751,613,390 | 4,039,311,674 |
| 15 | 2,264,274,606 | 42,032,153 | 75,000,000 | 1,773,508,557 | 4,154,815,316 |
| 16 | 2,361,355,380 | 42,557,555 | 75,000,000 | 1,795,677,414 | 4,274,590,349 |
| 17 | 2,462,598,492 | 43,089,524 | 75,000,000 | 1,818,123,382 | 4,398,811,398 |
| 18 | 2,568,182,402 | 43,628,143 | 75,000,000 | 1,840,849,924 | 4,527,660,469 |
| 19 | 2,678,293,223 | 44,173,495 | 75,000,000 | 1,863,860,548 | 4,661,327,266 |
| 20 | 2,793,125,045 | 44,725,664 | 75,000,000 | 1,887,158,805 | 4,800,009,513 |
| 21 | 2,912,880,281 | 45,284,734 | 75,000,000 | 1,910,748,290 | 4,943,913,305 |
| 22 | 3,037,770,023 | 45,850,794 | 75,000,000 | 1,934,632,644 | 5,093,253,460 |
| 23 | 3,168,014,413 | 46,423,929 | 75,000,000 | 1,958,815,552 | 5,248,253,893 |
| 24 | 3,303,843,031 | 47,004,228 | 75,000,000 | 1,983,300,746 | 5,409,148,004 |
| 25 | 3,445,495,300 | 47,591,781 | 75,000,000 | 2,008,092,006 | 5,576,179,087 |
| 26 | 3,593,220,911 | 48,186,678 | 75,000,000 | 2,033,193,156 | 5,749,600,745 |
| 27 | 3,747,280,258 | 48,789,011 | 75,000,000 | 2,058,608,070 | 5,929,677,339 |
| 28 | 3,907,944,899 | 49,398,874 | 75,000,000 | 2,084,340,671 | 6,116,684,444 |
| 29 | 4,075,498,037 | 50,016,360 | 75,000,000 | 2,110,394,929 | 6,310,909,326 |
| 30 | 4,250,235,015 | 50,641,564 | 75,000,000 | 2,136,774,866 | 6,512,651,445 |
| Final economic benefits-cost analysis |
| Year | Total Project | Total Project | Discounted | Discounted Total |
| | Costs | Benefits | Total Costs | Benefits |
| (bd) | (be) | (bf) | (bg) | (bh) |
| | = (aa) | = (bcc) | PV of (be) | PV of (bf) |
| 0 | 2,022,500,000 | 0 | 2,022,500,000 | 0 |
| 1 | 1,690,000,000 | 0 | 1,536,363,636 | 0 |
| 2 | 1,710,250,000 | 0 | 1,413,429,752 | 0 |
| 3 | 1,730,753,125 | 0 | 1,300,340,440 | 0 |
| 4 | 1,482,292,382 | 3,085,491,942 | 1,012,425,642 | 2,107,432,513 |
| 5 | 1,499,696,037 | 3,166,463,256 | 931,193,248 | 1,966,124,555 |
| 6 | 1,517,317,238 | 3,250,304,922 | 856,486,024 | 1,834,712,393 |
| 7 | 1,535,158,703 | 3,337,132,488 | 787,779,151 | 1,712,476,628 |
| 8 | 1,553,223,187 | 3,427,066,366 | 724,590,080 | 1,598,751,752 |
| 9 | 1,571,513,477 | 3,520,232,033 | 666,475,123 | 1,492,922,021 |
| 10 | 1,590,032,395 | 3,616,760,251 | 613,026,320 | 1,394,417,644 |
| 11 | 1,608,782,800 | 3,716,787,290 | 563,868,557 | 1,302,711,271 |
| 12 | 1,627,767,585 | 3,820,455,164 | 518,656,917 | 1,217,314,753 |
| 13 | 1,646,989,680 | 3,927,911,877 | 477,074,244 | 1,137,776,157 |
| 14 | 1,666,452,051 | 4,039,311,674 | 438,828,909 | 1,063,677,010 |
| 15 | 1,686,157,702 | 4,154,815,316 | 403,652,748 | 994,629,753 |
| 16 | 1,706,109,673 | 4,274,590,349 | 371,299,174 | 930,275,403 |
| 17 | 1,726,311,044 | 4,398,811,398 | 341,541,437 | 870,281,385 |
| 18 | 1,746,764,932 | 4,527,660,469 | 314,171,027 | 814,339,533 |
| 19 | 1,767,474,493 | 4,661,327,266 | 288,996,203 | 762,164,256 |
| 20 | 1,788,442,925 | 4,800,009,513 | 265,840,645 | 713,490,829 |
| 21 | 1,809,673,461 | 4,943,913,305 | 244,542,208 | 668,073,828 |
| 22 | 1,831,169,379 | 5,093,253,460 | 224,951,785 | 625,685,680 |
| 23 | 1,852,933,997 | 5,248,253,893 | 206,932,255 | 586,115,326 |
| 24 | 1,874,970,672 | 5,409,148,004 | 190,357,519 | 549,166,986 |
| 25 | 1,897,282,805 | 5,576,179,087 | 175,111,610 | 514,659,015 |
| 26 | 1,919,873,840 | 5,749,600,745 | 161,087,884 | 482,422,854 |
| 27 | 1,942,747,263 | 5,929,677,339 | 148,188,263 | 452,302,057 |
| 28 | 1,965,906,604 | 6,116,684,444 | 136,322,549 | 424,151,387 |
| 29 | 1,989,355,436 | 6,310,909,326 | 125,407,790 | 397,835,992 |
| 30 | 2,013,097,379 | 6,512,651,445 | 115,367,698 | 373,230,632 |
| | | PV (total) | 17,576,808,837 | 26,987,141,613 |
| | | NPV | | 9,410,332,777 |
| | | B-C Ratio | | 1.54 |