The R&D Department Is Planning to Bid on a Large Project for the Development of a New Communication System for Commercial Planes. the Accompanying Table Shows the Activities, Time, and Sequences Required;

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Question 3 (35 marks) - Words: 2 – 2.5 Pages The R&D department is planning to bid on a large project for the development of a new communication system for commercial planes. The accompanying table shows the activities, time, and sequences required; Activity Immediate Predecessor Time (Weeks) A -- 3 B A 2 C A 4 D A 4 E B 6 F C,D 6 G D,F 2 H D 3 I E,G,H 3 a. Draw the network diagram. b. What is the critical path? c. Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B,C,D and G each one week. Which would you shorten? d. What is the new critical path and earliest completion time? Question 3a Question 3b From the above project network, five possible paths found in that project as below table: Path number Path Details Time required (Per Week) 1 A > B > E > I 3 + 2 + 6 + 3 = 14 2 A > C > F > G > I 3 + 4 + 6 + 2 + 3 = 18 3 A > D > F > G > I 3 + 4 + 6 + 2 + 3 = 18 4 A > D > G > I 3 + 4 + 2 + 3 = 12 5 A > D > H > I 3 + 4 + 3 + 3 = 13 As the duration of path 2(ACFGI) and 3(ADFGI) need 18 weeks to complete the project which is longest time, so the path 2 and 3 are critical path. Question 3c As the activity B does not located on critical path, therefore the completion time no change even its shorten one week. For the activity G which is located on both critical path 2(ACFGI) and 3(ADFGI), therefore it is key activity for the project and has to shorten. Due to activity C and D is location on critical path 2(ACFGI) and 3(ADFGI) respectively, if only shorten activity C or D then another one become critical path, therefore both activity C and D have to shorten one week at same time. Conclusion, I would choose activity C, D and G to shorten the completion time as above reasons. Question 3d The new critical path is (ACFGI) and (ADFGI), the earliest completion time is 16

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