Exam September 2022 solutions

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Titolo presentazione sottotitolo • Milano, XX mese 20XX Exam September 2022 Exercise 1 The following project is assigned. Identify the critical path. Consider the possibility to crash the activities as shown in the following table. Identify the optimal solution according to a crashing programme. A penalty of 20 000€ for each week of delay is applied in case the project is not concluded before week 11. At the end of each step of the crashing algorithm write which is the margin gained and the critical path/s. Activity Immediate Predecessor Duration (Weeks) Duration Reduction (Crashing) Total Crashing Cost (€) A - 2 1 5 000€ B - 4 - - C A 5 1 3 000€ D A 3 2 22 000€ E B 5 3 54 000€ F C,D,E 4 1 31 000€ G F 3 2 36 000€ 2 75 C 4 92 0 44 B 0 40 2 53 D 6 94 9 134 F 9 130 4 95 E 4 90 The critical path is B-E-F-G. The project duration is 16 weeks. Solution 0 22 A 2 42 13 163 G 13 160 Exercise 1 Activity Immediate Predecessor Duration (Weeks) Duration Reduction (Crashing) Total Crashing Cost (€) Unitary crashing cost (€) A - 2 1 5 000€ 5 000€ B - 4 - - - C A 5 1 3 000€ 3 000€ D A 3 2 22 000€ 11 000€ E B 5 3 54 000€ 18 000€ F C,D,E 4 1 31 000€ 31 000€ G F 3 2 36 000€ 18 000€ The following project is assigned. Identify the critical path. Consider the possibility to crash the activities as shown in the following table. Identify the optimal solution according to a crashing programme. A penalty of 20 000€ for each week of delay is applied in case the project is not concluded before week 11. At the end of each step of the crashing algorithm write which is the margin gained and the critical path/s. Crash G, as it is the most convenient activity. Solution The critical path is B-E-F-G. The project duration is 14 weeks. Benefit = 40 000 – 36 000 = 4 000€ 2 75 C 4 92 0 44 B 0 40 2 53 D 6 94…