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Verdich [7]
3 years ago
15

An activity has an optimistic time estimate of 25 days, a most likely estimate of 29 days, and a pessimistic estimate of 34 days

. What is the expected duration of the activity
Mathematics
1 answer:
Margaret [11]3 years ago
8 0

The expected duration of the activity is 29 days and 4 hours.

Step-by-step explanation:

Step 1:

The optimistic time, t_{o} = 25 days,

The most likely estimate, t_{m} = 29 days.

The pessimistic time, t_{p} = 34 days.

According to PERT, the expected duration of the activity, t_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6}.

Step 2:

By substituting the given values, we gett_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6} = t_{e} = \frac{25+4(29) +34  }{6} = \frac{175}{6} = 29.1666.

0.1666 days = 0.1666 (24) = 3.9999 hours.

29.1666 days approximately equal 29 days and 4 hours.

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