Draw a network diagram and answer the questions below: (Please show all your workings or explanation; simple answers alone will not account for full marks) Activity 1 can start immediately and has an estimated duration of three weeks. Activity 2 can start after activity 1 is completed and has an estimated duration of three weeks. Activity 3 can start after activity 1 is completed and has an estimated duration of six weeks. Activity 4 can start after activity 2 is completed and has an estimated duration of eight weeks. Activity 5 can start after activity 4 is completed and after activity 3 is completed. This activity takes four weeks. Questions are:

1. What is the duration of the critical path? 2. What is the float of activity 3? 3. What is the float of activity 2? 4. What is the float of the path with the longest float? 5. The resource working on activity 3 is replaced with another resource who is less experienced. The activity will now take 10 weeks. How will this affect the project? 6. Using the original information, after some arguing between stakeholders, a new activity 6 is added to the project. It will take 11 weeks to complete and must be completed before activity 5 and after activity 3. Management is concerned that adding the activity will add 11 weeks to the project. Another stakeholder argues the time will be less than 11 weeks. Who is correct? 7. Based on the information in number 6 above, how much longer will the project take?