Given the following information regarding a project involving an initial public offering $($IPO$)$:

Activity Duration $($wks$)$ Preceding activities

a$.$ Check feasibility $3$

b$.$ Determine funding $1$

c$.$ Find possible banks $3$ a

d$.$ Select two possibles $4$ a

e$.$ Interview two banks $4$ b

f$.$ Analyze funding costs $5$ b

g$.$ Determine chance of success $2$ c$,$ e

h$.$ Sign contract $3$ f

a$)$ Draw the network.

b$)$ What is the critical path?

c$)$ When will the offering be available $($end of the project$)?$

d$)$ What is the effect on the project if activity e $($approvals$)$ takes an extra week? Two extra weeks?

Three extra weeks?