A work breakdown structure of a final year project is provided below as follows: Prepare the group participants (3 days), and then develop a proposal (5 days). After preparing the proposal, finish the problem statement (6 days), and then collect the requirements (5 days). When the requirements have been collected, start two tasks at once: build the logical models (6 days) and buy all the hardware equipment (17 days). When the logical models are complete, start two more tasks at once: build physical models (7 days) and prepare implementation software tools (5 days). When the physical models are complete and the software tools are ready, begin implementation (7 days). Finally, when the implementation is complete and the hardware equipment is ready, finalize the system development (6 days.) a) Draw a PERT chart to illustrate the task breakdown. b) Identify all the paths in the project and the time for each path? c) What is the critical path of the above project? d) What is the total time of the above project? e) What is the slack time of the buying hardware equipment task