Question

A landscaping project consists of the activities below. The following information describes the relationships between the activities that need to be completed for this project.

                        Immediate

Activity      Predecessors

               A      -

               B      A

               C      A

               D      C

               E       B, D

Using the data above, develop a network for this project. The following are estimates of optimistic, most likely, and pessimistic times.

Activity      Optimistic time Most Likely Time Pessimistic Time

               A      3                                   4                                   5

               B      3                                   7                                   9

               C      2                                   3                                   5

               D      4                                   6                                   7

               E       2                                   2                                   2

a. Use PERT to identify the expected time and variance for each activity.

b. What is the critical path?

c. What is the expected time and variance of the critical path?

d. Determine the expected completion time of the project.

e. Determine the probability that the project will be completed in less than 16 hours.

Answer 1