b) Critical Path Methodology Question (worth 6 marks) X is considering building a new multipurpose athletic complex on campus (note, this is a fictional case). The complex would provide a new gymnasium for inter-collegiate basketball games, expanded office space, classrooms, and intramural facilities. The activities that would have to be undertaken before beginning construction are shown below. Activity Description Immediate Time (weeks) Predecessor A Survey building site --- 1 B Develop initial design --- 2 C Obtain board approval A, B 6 D Select architect C 4 E Establish budget C 6 F Finalize design D, E 18 G Obtain financing E 8 H Hire contractor F 7 In the space below create a network diagram for the project above. You can sketch on a separate piece of paper and upload and paste into here if you want. Be sure to clearly show: - The ES,EF,LS,LF and slack for each node - The critical path(s) In the bottom left hand corner of your CPM diagram above, please answer the following questions: 1. What is the ES (in weeks) for activity G 2. What is the LS (in weeks) for activity E 3. How much slack (in weeks) does activity B have? 4. What are the critical activities? 5. What is the expected project completion time based on the network diagram? You can assume you have the resources required for the project when you need them.