The document contains information about a project network including:
(i) Task names (A-K), predecessor tasks, optimistic, pessimistic and most likely times for each task.
(ii) The critical path is task A->B->G->F->E->D->I->J->C->H->K.
(iii) The project completion time following the critical path is 11 + 5 + 4 + 3 + 8 + 5 + 7 + 5 = 48 days.
4. A project is represented by the network shown below and has the following data.
Determine (i) the critical path and, (ii) project completion time.
Task A B C D E F G H I
Optimistic
time (days)
4 18 26 16 15 6 8 7 3
Pessimistic
time
(days)
10 22 40 20 25 12 12 9 5
Most likely
time
(days)
7 20 33 18 20 9 10 8 4
5. Network modelling
The time and cost estimates of different activities of a project and their precedence relationship
are ' given below: Overhead costs amount to Rs. 1,000 per week. It is stipulated that the contractor
will have to pay a penalty of Rs. 2,000 per week for completing the project beyond 16 weeks. i)
Show the critical path in the network Diagram.
(ii) Find out the cost slope for every activity using normal and crash date for time and cost.
(iii) Crash the project to 16 weeks, Estimate the total cost of crashing.
Activity Preceding
activity
Time (weeks) Cost (Rs.)
Normal Crash Normal Crash
A - 6 4 10,000 14,000
B - 4 3 5,000 8,000
C A 3 2 4,000 5,000
D B 8 3 1,000 6,000
E B 14 6 9,000 13,000
F C,D 8 4 7,000 8,000