Question $2.($Crash Partayyyy$)$

Assume the network and data that follow:

a$.$ Construct the network diagram when "Normal Time $($Weeks$)"$ are used for activity duration.

b$.$ What is the earliest time that the project can be completed without crashing? What is the critical path? Compute the slack of each activity.

c$.$ Determine which activities should be crashed, and the total cost of crashing, if the goal is to shorten the project by three weeks as cheaply as possible.

d$.$ Suppose that the time to complete activities B$,$ C$,$ and G for the above network is variable, but that for the remaining activities is not variable. Under the assumption that an activity time has a beta distribution, the path duration times are independent,the three time estimates $($in weeks$)$ are:

What is the probability that the project $($without crashing$)$ will be completed within $18$ weeks or less?