The expected duration of the activity is 29 days and 4 hours.
Step-by-step explanation:
Step 1:
The optimistic time, [tex]t_{o}[/tex] = 25 days,
The most likely estimate, [tex]t_{m}[/tex] = 29 days.
The pessimistic time, [tex]t_{p}[/tex] = 34 days.
According to PERT, the expected duration of the activity, [tex]t_{e} = \frac{t_{0}+4t_{m} +t_{p} }{6}.[/tex]
Step 2:
By substituting the given values, we get[tex]t_{e} = \frac{t_{0}+4t_{m} +t_{p} }{6} = t_{e} = \frac{25+4(29) +34 }{6} = \frac{175}{6} = 29.1666.[/tex]
0.1666 days = [tex]0.1666 (24) = 3.9999 hours.[/tex]
29.1666 days approximately equal 29 days and 4 hours.
