Question

A PERT/CPM activity has an optimistic time estimate of 3 days, a most likely time estimate of 8 days, and a pessimistic time estimate of 10 days. The expected time (in days) of this activity is:

A.7.0

B.8.0

C.7.5

D.8.5

Answer 1

The expected time for the PERT/CPM activity using the given time estimates is calculated using the PERT formula. The correct calculation yields an expected time of 7.5 days, making option C the correct answer.

Step-by-step explanation:

The question involves calculating the expected time for a PERT/CPM activity using three different time estimates: the optimistic time estimate, the most likely time estimate, and the pessimistic time estimate.

To find the expected time of this activity, we use the PERT (Program Evaluation and Review Technique) formula. The formula to calculate the expected time (TE) is:

TE = (Optimistic + 4 × Most Likely + Pessimistic) / 6

Substituting the given values into this formula:

TE = (3 days + 4 × 8 days + 10 days) / 6

TE = (3 + 32 + 10) / 6

TE = 45 days / 6

TE = 7.5 days

Therefore, the expected time for the activity is 7.5 days, which matches option C.