Activity Immediate

Predecessor

Optimistic

Time

Most Likely

Time

Pessimistic Time

A $--22\mathrm{.}56$

B $--101112$

C A $56\mathrm{.}511$

D B$,$ C $111315$

E C $89\mathrm{.}514$

F D$,$ E $4\mathrm{.}55\mathrm{.}59\mathrm{.}5$

G E $3\mathrm{.}556\mathrm{.}5$

H F$,$ G $6\mathrm{.}57\mathrm{.}511\mathrm{.}5$

a$.$ Calculate the expected activity duration $($te$),$ variance for each activity, ES$,$ EF$,$ LS$,$ and LF

times and the slack for each activity. Show the values in a table $($activity schedule$).$ What

is the critical path for the project? Show all work to earn credit.

b$.$ Using MS Project $($or any other software$),$ create a Gantt chart for the project based on

ES and EF times.

c$.$ What is the probability of completing the project in $40$ weeks? Show all work to earn

credit.

d$.$ If the activity B can be finished in $10$ weeks, D in $11$ weeks, and E in $8$ weeks, recalculate

the expected project completion time. Show all work.