Activities: W$,$ X$,$ Y$,$ Z

Durations: W $=5$ days, X $=7$ days, Y $=3$ days, Z $=4$ days

Costs $($Normal$)$: W $=$ $$800,$ X $=$ $$1,300,$ Y $=$ $$600,$ Z $=$ $$1,100$

Costs $($Crashed$)$: W $=$ $$1,000,$ X $=$ $$1,700,$ Y $=$ $$900,$ Z $=$ $$1,400$

Precedence: X follows W$,$ Y follows W$,$ and Z follows both X and Y$.$

Lags: There is a Finish to Start $($FS$)$ lag of $3$ days between W and X$,$ and a Start to Start $($SS$)$ lag

of $2$ days between W and Y$.$

Based on this information, answer the following questions:

Question $1$: Calculate the Total Normal Cost of the Project. And calculate the total cost of the

project if no activities are crashed.

Question $2$: Determine the Critical Path.

Identify the critical path of the project considering the activity durations and lags.

Question $3$: Calculate the Total Cost of the Project if Activity X is Crashed. If crashing activity

X reduces its duration by $2$ days with an associated cost increase, calculate the new total cost of

the project.

Question $4$: Determine the Project Duration After Crashing Activity X$.$ And find out the new

project duration after activity X is crashed.