Sankk Techno Corporation needs to perform the tasks in the following list. Activity Immediate Predecessors Optimistic Time
Question:
Sankk Techno Corporation needs to perform the tasks in the following list.
Activity | Immediate Predecessors | Optimistic Time | Most Likely Time | Pessimistic Time |
A B C D E F G H I J K L | - - - A B C A B C D,G E,H F,I | 2 4 2 3 6 4 1 2 3 2 4 3 | 3 6 5 4 7 7 5 5 5 2 4 3 | 4 8 8 5 8 10 9 8 7 2 4 3 |
Develop the associated PERT network diagram and determine the following:
- Critical paths (s), total project completion time and project variance.
- Probability that the project will be completed in16 weeks or less.
- Probability that the project will take more than 14 weeks to complete.
The company has determined that the client will pay it a $10,000 bonus if it completes the project in 14 weeks or less. The associated normal times and costs as well as the crash times and costs are shown below:
Activity | Normal Time | Crash Time | Normal Cost ($) | Crash Cost ($) |
A B C D E F G H I J K L | 3 6 5 4 7 7 5 5 5 2 4 3 | 2 4 2 3 6 4 1 2 3 2 4 3 | 600 1200 1200 1200 1200 1200 2400 1200 1800 300 300 300 | 1200 2400 2400 1800 1800 3000 4800 3000 2400 300 300 300 |
Considering the cost involved to crash the project, determine if the company could crash the project in 14 weeks to receive the bonus.