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For a small project, prepare a resource histogram based on EST and LST schedule. Comment on the suitability of distribution on above methods.
Activity A B C D E F G
Preceding activity - - - A B C E
Duration (days) 4 5 3 4 5 3 7
Masons required 3 4 4 3 2 4 8

Smoothen the resources depending upon the peak demands.

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Starting activity: A,B,C

Ending activity: D, E, F

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Critical path: 1 - 3 - 5 - 6

Critical activity: B - E - G

As per LFT, it is found that peak demand of carpentor goes on decreasing which results in smoothening of the carpentors requirements.

$\therefore$ As per LFT carpentors are suitable

Activity Duration Masons EST EFT LST LFT
A 4 3 0 4 0 13
B 5 4 0 5 1 5
C 3 4 0 3 10 14
D 4 3 4 8 14 17
E 5 2 5 10 8 10
F 3 4 3 6 13 17
G 7 8 10 17 9 17

As per EFT

$\begin{aligned} & \text{Duration} \times \text{Resources}^2 \\ &= 4 \times 11^2 + 1 \times 12^2 + 1 \times 10^2 + 2 \times 6^2 + 2 \times 2^2 + 7 \times 8^2 \\ &= 1116 \\ \end{aligned}$


As per LFT

$\begin{aligned} &= 3 \times 11^2 + 1 \times 7^2 + 1 \times 4^2 + 5 \times 2^2 + 3 \times 8^2 + 1 \times 12^2 + 1 \times 16^2 \\ &= 1040\\ \end{aligned}$

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