Question

The project given below follows PERT analysis whose expected duration of completion is 8 days. The pessimistic time for activity AB of the project will be ________ days.

• A. 5

Answer 1

The correct option is A 5

$t_{E,AB}=\frac{x+2+4\times 4}{6}=\frac{x+18}{6}days$

$t_{E,BC}=\frac{3+4\times 4+6}{6}=\frac{25}{6}days$

$\therefore$ Total expected time of completion of project = 8 days

$\therefore$ Expected project duration $\frac{x+18}{6}+\frac{25}{6}=\left(\frac{x+43}{6}\right)days$

$\therefore \frac{x+43}{6}=8$

$\Rightarrow x=5days$