Q$2(20$ points$)$ A construction project is broken down into the following activities:

a$.$ Draw the network diagram. $(4$ points$)$

b$.$ Find the critical path using the two$-$pass method. $(4$ points$)$

c$.$ What is the project duration? $(2$ points$)$

d$.$ How much slack does activity F have? $(2$ points$)$

e$.$ Suppose that the goal is to reduce the project duration to $16$ days. Calculate the daily

crash cost in the table below $(2$ points$).$ Explain, step by step, which tasks to crash, and

compute the resulting total cost of reducing the project duration to $16$ days $(6$ points$)$