The table below shows the activities, their durations and predecessors for designing, writing and installing a bespoke computer database for a commercial bank headquartered in Singapore. Draw a network diagram (activity-on-node) for the project and calculate the fastest time in which the operation might be completed.

Activity 1. Contract negotiation 2. Discussions with main users Duration (weeks) Activities that must be completed before it can start 1 2 1 3. Review of current documentation 5 1 4. Review of current systems 6 2 5. Systems analysis (a) 4 3,4 6. Systems analysis (b) 7 5 7. Programming 12 5 8. Testing (prelim) 2 7 9. Existing system review report 1 3,4 10. System proposal report 2 5,9 11. Documentation preparation 12. Implementation 19 5,8 7 7,11 13. System test 3 12 14. Debugging 4 12 15. Manual preparation 5 11