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Solution to Problem 1 Developed by: Alex J. Ruiz-Torres, Ph.D.

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1 Solution to Problem 1 Developed by: Alex J. Ruiz-Torres, Ph.D.

2 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F

3 A ES EF LS LF Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF A

4 B A C ES EF LS LF ES EF LS LF ES EF LS LF Months $K Rate Pred CT NT NC
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF B ES EF LS LF A C ES EF LS LF

5 D B A C ES EF ES EF LS LF LS LF ES EF LS LF ES EF LS LF Months $K Rate
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF ES EF LS LF D B ES EF LS LF A C ES EF LS LF

6 D B A E C ES EF ES EF LS LF LS LF ES EF LS LF ES EF LS LF ES EF LS LF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF ES EF LS LF D B ES EF LS LF ES EF LS LF A E C ES EF LS LF

7 D B A E C F ES EF ES EF LS LF LS LF ES EF LS LF ES EF LS LF ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF ES EF LS LF D B ES EF LS LF ES EF LS LF A E C ES EF LS LF F ES EF LS LF

8 D B G A E C F ES EF ES EF LS LF LS LF ES EF ES EF LS LF LS LF ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF ES EF LS LF D ES EF LS LF B ES EF LS LF ES EF LS LF G A E C ES EF LS LF F ES EF LS LF

9 D B G A E C F ES EF ES EF LS LF LS LF ES EF 0 4 LS LF LS LF 4 ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F ES EF LS LF ES EF LS LF D ES EF LS LF B 0 4 LS LF 4 ES EF LS LF G A E C ES EF LS LF F ES EF LS LF

10 D B G A E C F 4 EF ES EF LS LF LS LF ES EF 0 4 LS LF LS LF 4 ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 EF LS LF ES EF LS LF D ES EF LS LF B 0 4 LS LF 4 ES EF LS LF G A E C 4 EF LS LF F ES EF LS LF

11 D B G A E C F 4 10 ES EF 6 LS LF LS LF ES EF 0 4 LS LF LS LF 4 ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF ES EF LS LF 6 D ES EF LS LF B 0 4 LS LF 4 ES EF LS LF G A E C 4 11 LS LF 7 F ES EF LS LF

12 D B G A E C F 4 10 ES EF 6 LS LF LS LF ES EF 0 4 LS LF LS LF 4 ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF ES EF LS LF 6 D ES EF LS LF B 0 4 LS LF 4 ES EF LS LF G A E C 4 11 LS LF 7 F ES EF LS LF

13 D B G A E C F 4 10 11 EF 6 LS LF LS LF ES EF 0 4 LS LF LS LF 4 ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 EF LS LF 6 D ES EF LS LF B 0 4 LS LF 4 ES EF LS LF G A E C 4 11 LS LF 7 F ES EF LS LF

14 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 ES EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 ES EF LS LF G A E C 4 11 LS LF 7 F ES EF LS LF

15 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 11 EF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 11 EF LS LF G A E C 4 11 LS LF 7 F ES EF LS LF

16 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 18 LS LF 7 G A E C 4 11 LS LF 7 F ES EF LS LF

17 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 18 LS LF 7 G A E C 4 11 LS LF 7 F ES EF LS LF

18 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 EF LS LF

19 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

20 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 ES EF LS LF 0 4 LS LF 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D ES EF LS LF B 0 4 LS LF 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

21 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 18 EF LS LF 0 4 LS LF 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D 18 EF LS LF B 0 4 LS LF 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

22 D B G A E C F 4 10 LS LF 11 15 LS LF 6 4 18 23 LS LF 0 4 LS LF 5 4 18
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F 4 10 LS LF 11 15 LS LF 6 4 D 18 23 LS LF B 0 4 LS LF 5 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

23 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F The duration of this project under normal times is 23 Months 4 10 LS LF 11 15 LS LF 6 4 D 18 23 LS LF B 0 4 LS LF 5 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

24 D B G A E C F The cost of this project under normal times is $294K
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F The cost of this project under normal times is $294K 4 10 LS LF 11 15 LS LF 6 4 D 18 23 LS LF B 0 4 LS LF 5 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

25 D B G A E C F Time Cost 23 294 4 10 LS LF 11 15 LS LF 6 4 18 23 LS LF
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 LS LF 6 4 D 18 23 LS LF B 0 4 LS LF 5 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

26 We will next find the critical path
Copyright Disclaimer under section 107 of the Copyright Act of 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research.

27 D B G A E C F Time Cost 23 294 4 10 LS LF 11 15 LS LF 6 4 18 23 0 4
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 LS LF 6 4 D 18 23 B 0 4 LS LF 5 4 18 LS LF 7 G A E C 4 11 LS LF 7 F 11 17 LS LF 6

28 D B G A E C F Time Cost 23 294 4 10 LS LF 11 15 LS 18 6 4 18 23 0 4
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 LS 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 LS 18 7 G A E C 4 11 LS LF 7 F 11 17 LS 18 6

29 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 LS 18 7 G A E C 4 11 LS LF 7 F 11 17 LS 18 6

30 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 LS LF 7 F 11 17 LS 18 6

31 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 LS LF 7 F 11 17 12 18 6

32 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 LS LF 7 F 11 17 12 18 6

33 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 LS 11 7 F 11 17 12 18 6

34 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

35 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS LF 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

36 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 LS 12 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

37 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 6 12 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

38 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 6 12 11 15 14 18 6 4 D 18 23 B 0 4 LS LF 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

39 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 6 12 11 15 14 18 6 4 D 18 23 B 0 4 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

40 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 6 12 11 15 14 18 6 4 D 18 23 B 0 4 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

41 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 4 10 6 12 11 15 14 18 6 4 D 18 23 B 0 4 5 4 18 11 18 7 G A E C 4 11 7 F 11 17 12 18 6

42 Activity A We will crash the lowest cost in the CP
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 We will crash the lowest cost in the CP Activity A Crashing A by one month will result in a project duration of 22 total cost of $294 + $5 = $299

43 = Activity A Crash the lowest cost activity in the CP
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 Crash the lowest cost activity in the CP = Activity A Crashing A from 4 to 3 will result in a project duration of 22 total cost of $294 + $5 = $299

44 Need to repeat and determine the current CP(s) with the revised times (crashed).
Copyright Disclaimer under section 107 of the Copyright Act of 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research.

45 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 6 4 D B 0 3 5 4 3 7 G A E C 3 10 7 F 6

46 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 10 6 4 D B 0 3 5 4 3 10 7 G A E C 3 10 7 F 10 6

47 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 10 14 6 4 D B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 6

48 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 10 14 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 6

49 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 10 14 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 6

50 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 10 14 17 6 4 D 17 22 B 0 3 5 4 3 10 17 17 7 G A E C 3 10 7 F 10 16 17 6

51 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

52 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

53 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

54 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

55 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 10 7 F 10 16 11 17 6

56 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

57 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

58 D B G A E C F There are no new CPs Time Cost 23 294 22 299 3 9 5 11
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A There are no new CPs E C 3 10 7 F 10 16 11 17 6

59 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 3 9 5 11 10 14 13 17 6 4 D 17 22 B 0 3 5 4 3 10 17 7 G A E C 3 10 7 F 10 16 11 17 6

60 = Activity C Crash the lowest cost activity in the CP
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 Crash the lowest cost activity in the CP = Activity C Crashing C from 7 to 6 will result in a project duration of 21 total cost of $299 + $16 = $315

61 Need to repeat and determine the current CP(s) with the revised times (crashed).
Copyright Disclaimer under section 107 of the Copyright Act of 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research.

62 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 6 4 D B 0 3 5 4 3 7 G A E C 3 9 7 6 F 6

63 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 6

64 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 6

65 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 6

66 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 9 13 16 6 4 D B 0 3 5 4 3 9 16 16 7 G A E C 3 9 7 6 F 9 15 16 6

67 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 10 16 6

68 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 4 10 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 10 16 6

69 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 4 10 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 10 16 6

70 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 4 10 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 10 16 6

71 D B G A E C F There are no new CPs Time Cost 23 294 22 299 21 315 3 9
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 4 10 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A There are no new CPs E C 3 9 7 6 F 9 15 10 16 6

72 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 3 9 4 10 9 13 6 4 D B 0 3 5 4 3 9 16 7 G A E C 3 9 7 6 F 9 15 10 16 6

73 = Activity C Crash the lowest cost activity in the CP
Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 Crash the lowest cost activity in the CP = Activity C Crashing C from 6 to 5 will result in a project duration of 20 total cost of $315 + $16 = $331

74 Done with 3 iterations All crash plan

75 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 1 4 D B 0 3 4 3 5 G A E C 2 F 5

76 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 3 4 1 4 D B 0 3 4 3 5 G A E C 3 5 2 F 5

77 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 3 4 5 9 1 4 D B 0 3 4 3 5 10 5 G A E C 3 5 2 F 5 10 5

78 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 3 4 5 9 1 4 The duration of this project under “all crash” times is 14 Months D B 0 3 4 3 5 10 5 G A E C 3 5 2 F 5 10 5

79 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 3 4 5 9 1 4 The cost of this project under “all crash” times is $558K D B 0 3 4 3 5 10 5 G A E C 3 5 2 F 5 10 5

80 Months $K Rate Pred CT NT NC CC A 3 4 35 40 5 B 1 6 18 73 11 C 2 7 80 160 16 D nc B,C E 70 140 F 52 84 32 G 23 45 22 D,E,F Time Cost 23 294 22 299 21 315 20 331 … 14 558 3 4 5 9 1 4 D B 0 3 4 3 5 10 5 G A E C 3 5 2 F 5 10 5

81 Tradeoff plot

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