A small construction project involves the following activities:
Normal Crash
Activity Time
(days)
Cost (Sh.) Time
(days)
Cost (Sh.)
1-2
1-3
2-4
3-4
3-5
4-5
Clear ground
Lay foundation
Build walls
Roofing and
piping
Painting
Landscaping
6
5
3
7
4
2
60,000
30,000
10,000
40,000
20,000
10,000
5
3
2
4
3
1
70,000
50,000
15,000
55,000
30,000
17,500
Required:
(i) Determine the shortest time and the associated cost to finish this
project.

(ii) If a penalty of Sh. 4,500 must be charged for every day beyond 12 days.
What is the most economical time for completing the project?