$2.$ The following table refers to a building project.

Activity Duration

$($months$)$

Predecessors

A $7$ None

B $10$ None

C $7$ B

D $8$ A

E $6$ A

F $5$ E

G $10$ C$,$ D$,$ F

H $11$ E

I $2$ G$,$H

$3$

Draw the network diagram of the project $($You can do this with MS Project, if you so desire. If

you choose to do so$,$ please copy and paste the network diagram from MS Project. Please do not

send me the whole MS Project file. It is also OK if you draw the diagram by hand or any other

software. If you do so$,$ please scan and include it in your submission$)$

a$.$ Identify the critical path, its duration and the activity slacks.

Consider the additional Time$/$Cost trade$-$off data.

Activity Normal

Duration

$($months$)$

Normal Cost

$($$$)$

Crash

Duration

$($months$)$

Crash Cost

$($$$)$

A $77,000521,000$

B $1010,000830,000$

C $77,000521,000$

D $88,000624,000$

E $66,000418,000$

F $55,000315,000$

G $1010,000830,000$

H $1111,000933,000$

I $22,000$ Cannot be

crashed

Cannot be

crashed

b$.$ Assume the overhead costs for this project are $$2,500/$month$.$ Also, a penalty of $$10,000$

is assessed for each month the project is delayed beyond month $25.$ What is the optimal

crashing strategy? What is the net benefit of the optimal crashing strategy? Please

describe your crashing strategy step$-$by$-$step.

c$.$ What is the optimal project duration? What are the critical paths as a result of your

crashing?