A seven activity project has the activity durations (in weeks)and costs shown in the table.The project manager has an overall budget of $20,000,what is the fastest completion time possible?
A) 29 weeks
B) 28 weeks
C) 27 weeks
D) 26 weeks

Question

A seven activity project has the activity durations (in weeks)and costs shown in the table.The project manager has an overall budget of $20,000,what is the fastest completion time possible? 
A) 29 weeks 
B) 28 weeks 
C) 27 weeks 
D) 26 weeks

Quizplus · Accepted Answer

To find the fastest completion time possible, we need to use the critical path method. We start by identifying the longest path through the network of activities, which will determine the overall duration of the project. 
Activity durations:
A=5 weeks, B=2 weeks, C=7 weeks, D=6 weeks, E=4 weeks, F=3 weeks, G=5 weeks 
Now, we can calculate the earliest start and finish times and the latest start and finish times for each activity. 
The critical path is the longest path through the network: A-C-D-F-G. 
The total duration of the project is 5+7+6+3+5=26 weeks. 
Since the project manager has a budget of $20,000, we also need to calculate the total cost of the project. 
The total cost of the project is the sum of the costs of all activities on the critical path: $10,900. 
Therefore, the best choice is B, completing the project in 28 weeks, which is the shortest possible duration without exceeding the budget.

A Seven Activity Project Has the Activity Durations (In Weeks)and