a$.$ Use two$-$pass method to determine the critical path $($you can show the different times in

the above diagram if you like$).(4$ points$)$

b$.$ What is the project duration? $(1$ point$)$

c$.$ What is the slack time of activity F$?(1$ point$)$

d$.$ Activities A$,$ B$,$ C$,$ D can be crashed. The normal time, crash time, normal cost and crash cost

are shown in the table below. What is the daily crash cost of each activity? $(2$ points$)$

e$.$ The project needs to be completed in $22$ days. How can you achieve this goal at minimum

cost$?$ Please report your crashing steps in the table below. $($The table size does not imply

the number of steps that will be needed.$)(4$ points$)$