The normal and crash duration together with their associated costs for the
various activities involved in a repair work is given below. The indirect cost for
supervision of the work is also indicated.
Time (days) Cost(Sh)
Activity Normal Crash Normal Crash
1-2
1-3
2-4
3-4
4-6
5-6
3-5
5-7
6-7
6
8
7
12
3
5
7
11
10
2
3
4
8
1
2
3
5
6
4,000
3,000
2,800
9,000
10,000
4,900
1,800
6,600
4,000
12,000
6,000
4,000
11,000
13,000
7,000
5,000
12,000
8,400
Total 46,100 78,400
The indirect cost of the project is Sh. 2,000 per day.
Required:
(i) Draw a net work diagram for this project. (3
marks)
(ii) Find the normal cost and duration of the project. (2
marks)
(iii) The ultimate crash duration of the project. (2 marks)
(iv) The optimal duration of the project if the total cost is to be minimized. (5
marks)
(v) The costs involved in both of these cases. (2