Question: a m Question 5: (20 marks) Due to increasing demand, a company has a project to improve its production process within 2 months (i.e. 60

a m Question 5: (20 marks) Due to increasing

a m Question 5: (20 marks) Due to increasing demand, a company has a project to improve its production process within 2 months (i.e. 60 days) to meet its tight schedules. The various activity details of the improvement project are summarized in the table below: ESTIMATED DURATION MAXIMUM ADDITIONAL ACTIVITY IMMEDIATE (DAYS) DAY(S) CAN TOTAL PREDECESSORS b BE CRASH COST CRASHED A None 12 12 12 1 $1000 B None 8 9 C A 5 10 D B 10 10 10 2 $2000 E B 22 26 F A 10 10 10 4 $6000 G H D 30 40 50 I A 15 15 15 5 $2500 J E, G, H 4 4 4 3 $3600 K FI 3 6 9 10 15 24 32 35 38 (1) (a) Prepare an AON diagram for the project. (2 marks) (b) Find the expected activity time and corresponding variance for each activity of the project. (2 marks) (C) Find the Earliest Start (ES), Earliest Finish (EF), Latest Start (LS) and Latest Finish (LF) times of each activity of the project. (6 marks) (d) Without crashing any activity of the project, identify all the critical activities and critical path(s). (2 marks) (ii) what is the chance to complete the project on time? (2 marks) (iii) when should the project completion date be with less than 20% chance of being late? (2 marks) (e) If the project cannot be delayed unexpectedly, it must be crashed at the lowest possible cost. Identify all crashed activities and their number of clashed days. (2 marks) What is the total crashed cost needed for each crashed activity identified in Part(e)(i)? (2 marks) (TOTAL 20 MARKS) (ii)

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