i)
$\begin{aligned} \text { critical path } : B-D-F &=10-30-40-50 \\ \text { critical Activity } : B-D-F \end{aligned}$
$\text Project \ Duration: 11+5+5=21 \ days.$
ii) From histogram As per EST it is found that peak
demand of carpenter goes on decreasing which results in smoothening of the carpenters requrement
Activity |
Duration |
Carpenters |
EST |
EFT |
LST |
LFT |
A |
8 |
3 |
0 |
8 |
7 |
15 |
B |
11 |
4 |
0 |
11 |
0 |
11 |
C |
6 |
2 |
8 |
14 |
15 |
21 |
D |
5 |
5 |
11 |
16 |
11 |
16 |
E |
8 |
3 |
11 |
19 |
13 |
21 |
F |
5 |
3 |
16 |
21 |
16 |
21 |
As per LST
$\sum \ duration \times Resources^2$
= $(7 \times 4^2)+(4 \times 7^2)+(2 \times 8^2)+(2 \times 11^2)+(1 \times 10^2)+(5 \times 8^2)$
= $1098$
As per EST
= $(8 \times 7^2)+(3 \times 6^2)+(3 \times 10^2)+(2 \times 8^2)+(3 \times 6^2)+(2 \times 8^2)+$
= $1054$