Develop a network $($Critical Path Method, CPM$)$

You have signed to build a garage for a small company. The expected times for the project activities are given below.

ID

Description

Predecessor

Time $($days$)$

A

Pour foundation

None

$3$

B

Put frame

A

$4$

C

Roof

B

$5$

D

Windows

B

$1$

E

Doors

B

$1$

F

Electrical

B$,$ E

$3$

G

Rough$-$in$-$frame

C$,$ D$,$ E

$2$

H

Door opener

E$,$ F

$1$

I

Paint

G$,$ H

$2$

J

Release

I

$1$

Find the critical path?

Find the expected project completion time?

The critical path: A $$ B $$ E $$ H $$ I $$ J

The project completion time: $21$ days

The critical path: A $$ B $$ C $$ G $$ I $$ J

The project completion time: $17$ days

The critical path: A $$ B $$ D $$ G $$ I $$ J

The project completion time: $17$ days

The critical path: A $$ B $$ F $$ G $$ I $$ J

The project completion time: $18$ days