Consider a software project with 5 tasks T1-T5. Duration of the 5 tasks (in days) are 15, 10, 12, 25 and 10, respectively. T2 and T4 can start when T1 is complete. T3 can start when T2 is complete. T5 can start when both T3 and T4 are complete.

i) Draw the Gantt Chart and PERT charts for the project.

ii) When is the latest start date of the task T3? What is the slack time of the task T4? What is the slack time of the task T2?