Consider a systems development project with the following data

Activity                                Duration (weeks)        Precedence Relationship

1. Software design                  2                                  -

2. Module 1 Coding                14                                1

3. Module 2 Coding                18                                1

4. Module 3 Coding                15                                1

5. Unit Test 1                          2                                  2

6. Unit Test 2                          3                                  3

7. Unit Test 3                          1                                  4

8. Integration Test                   3                                  5, 6, 7

9. Systems Test                       1                                  8

10. Acceptance Test 1              2                                  9

11. Acceptance Test 2              1                                  9

12. System Release                 1                                 10, 11

a) Draw the project network.

b) Identify the critical activities.

c) What is the least number of weeks required to complete the project?

d) Among the activities that have a non-zero slack, which is the activity with the least slack?

e). Activities 2, 3, and 4 will have to be done in parallel at least for some duration if the project has to be completed in the least possible time.