See the project task data in the table below. On your own, $($without submitting it $)$ sketch the PDM diagram of this project to help answer the following questions. a$)$

Determine the length $($in weeks$)$ of the four pathways from the start to the end of the project. b$)$ What is the critical path, and thus what is the estimated duration of

the project? c$)$ Determine the task slack for each of the tasks of the project.