Question

The following represents a project that should be scheduled using CPM:

Draw the network

Answer 1

The question involves using the Critical Path Method to construct a network diagram for project scheduling but lacks specific project data, making it impossible to provide an illustrative example. CPM is used for identifying key tasks and their sequences within a project's workflow.

Step-by-step explanation:

The student's question pertains to using Critical Path Method (CPM) to schedule a project and draw the network diagram. CPM is a project modeling technique used in project management that helps in identifying the sequence of tasks that determine the overall duration of the project. Constructing a network diagram involves identifying all tasks, estimating their durations, understanding dependencies, and then organizing them in a flowchart that visually represents the project's workflow. Unfortunately, as there is no specific data or list of activities provided for the described project, an illustrative example cannot be made. However, generally, a network diagram will include nodes (or circles) for the start and end of each activity, arrows representing the activities themselves, and annotations indicating the duration and sequence of the activities.

Engaging in exercises that address the propagation of signals or problems associated with commuting would increase one's understanding of various issues faced by engineering teams. Each of these exercises might involve analyzing and anticipating the complexities that can occur in respective scenarios, whether they are signal interferences in communication networks or traffic flow optimization for commute reduction.

Answer 2

a. The network:

A B

/ \

C D

\ /

E

/ \

F G

b. The critical path is the longest path through the network.

c. The expected project completion time is the sum of the expected completion times of all of the paths through the network.

d. The probability of completing this project within 16 days is 0.25.

Step-by-step explanation:

The critical path is the longest path through the network. It is composed of the activities A, B, E, F, and G. The expected completion time of the critical path is 13.66 days.

The expected project completion time is the sum of the expected completion times of all of the paths through the network. Since the critical path is the longest path, the expected project completion time is also 13.66 days.

The probability of completing this project within 16 days is 0.25. This is because the expected completion time of the critical path is 13.66 days, and the pessimistic time for each activity on the critical path is 11 days. Therefore, the probability of completing the critical path in 16 days or less is:

= 1 - (0.1111 + 0.1111 + 1.7778 + 0.1111 + 0.6944 + 0.25)

= 0.25.

The complete question:

The following represents a project that should be scheduled using CPM:

TIMES(DAYS) = amb. Activity Immediate Predecessors amb ET (see the table on the attachment).

• a. Draw the Network
• b. What is the Critical Path?
• c. What is the expected project completion time?
• d. What is the probability of completing this project within 16 days?