# Expert Answer - Determine the expected completion

A1a. Determine the expected completion time for each of the nine project activities:

Activity Expected Duration

A (2.5 + 4(3) + 3.5)/6 = 3

B (14 + 4(15) + 16)/6 = 15

A2a. Determine the variance for each project activity.

Activity Variance

A ((3.5 – 2.5)/6)2 = 0.028

A3a. Identify the critical path in the PERT Chart.

See PERT chart in Excel file.

There are four paths in the chart. The four paths and their durations are shown below:

Path Path Duration

A4a. Expected duration of the entire project.

A4b. Slack for project Activity E

A4c. Slack for project Activity C

A4d. The earliest week project Activity F is scheduled to start

A4e. The latest week project Activity G is scheduled to finish.

A5. Determine the probability of completing this project in time for the project launch in 48 weeks.

B1a. Maximum reduction in time:

The maximum reduction in time for an activity is the difference between the expected duration (“Normal Time”) and the “Crash Weeks”

B2a. Crash cost per week

C1. Least costly activities to be crashed in order to complete the project within 22 weeks

C2. Number of weeks each of the activities identified in part C1 should be crashed to meet the deadline with the lowest possible increase in cost.

C3. Total additional cost due to crashing of the activities identified in part C1.

Activity Expected Duration

A (2.5 + 4(3) + 3.5)/6 = 3

B (14 + 4(15) + 16)/6 = 15

A2a. Determine the variance for each project activity.

Activity Variance

A ((3.5 – 2.5)/6)2 = 0.028

A3a. Identify the critical path in the PERT Chart.

See PERT chart in Excel file.

There are four paths in the chart. The four paths and their durations are shown below:

Path Path Duration

A4a. Expected duration of the entire project.

A4b. Slack for project Activity E

A4c. Slack for project Activity C

A4d. The earliest week project Activity F is scheduled to start

A4e. The latest week project Activity G is scheduled to finish.

A5. Determine the probability of completing this project in time for the project launch in 48 weeks.

B1a. Maximum reduction in time:

The maximum reduction in time for an activity is the difference between the expected duration (“Normal Time”) and the “Crash Weeks”

B2a. Crash cost per week

C1. Least costly activities to be crashed in order to complete the project within 22 weeks

C2. Number of weeks each of the activities identified in part C1 should be crashed to meet the deadline with the lowest possible increase in cost.

C3. Total additional cost due to crashing of the activities identified in part C1.

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