Question

Consider the project network information in Table 1 of Case Study A on Page 3 below. Assuming the project starts at time zero and all activity connections are finish-to-start, draw an Activity on the Node (AON) network diagram of the project, determine the expected project completion time, state the critical activities and critical path(s). Crash the project by 1 week and state the total crash cost. (b) (18 narl Case Study A Table 1 below contains activities associated with a project, their duration and what activities each must precede. In addition, the table contains crash time and cost data for the activities. Table 1: Project Information Cost (£) Immediate Predecessor(s) Time (Weeks) Activity Normal Crash Normal Crash 6,000 1,800 4,000 2,000 3,000 6,500 2,000 4,800 4,000 6,000 5 6 4 5 10 8 2 1 C,E A 2 ABCDE

Answer 1

The network diagram is as below:-

5 5 E A 10 2 Start C D 6 LL LC

The different paths are:-

A-E-D= 5+5+2=12

C-D=10+2=12

B=6

So the project has two critical paths which are

A-E-D AND C-D

The project completion duration = 12 weeks

The critical paths are A-E-D AND C-D

The critical activities are, A-E-D AND B