Construction Project

Activity	Activity Description	Immediate Predecessors	Estimated Duration
A	Excavate		2 weeks
B	Lay the foundation	A	4 weeks
C	Put up the rough wall	B	10 weeks
D	Put up the roof	C	6 weeks
E	Install the exterior plumbing	C	4 weeks
F	Install the interior plumbing	E	5 weeks
G	Put up the exterior siding	D	7 weeks
H	Do the exterior painting	E, G	9 weeks
I	Do the electrical work	C	7 weeks
J	Put up the wallboard	F, I	8 weeks
K	Install the flooring	J	4 weeks
L	Do the interior painting	J	5 weeks
M	Install the exterior fixtures	H	2 weeks
N	Install the interior fixtures	K, L	6 weeks

1. Draw the project network
2. Under normal circumstances, can the project be completed within 40 weeks? Why
3. What are the critical activities?
4. What is the critical path of the project?

Consider additional information below:

Activity	Time		Cost
	Normal	Crash	Normal	Crash
A	2 weeks	1 week	$180,000	$280,000
B	4 weeks	2 weeks	320,000	420,000
C	10 weeks	7 weeks	620,000	860,000
D	6 weeks	4 weeks	260,000	340,000
E	4 weeks	3 weeks	410,000	570,000
F	5 weeks	3 weeks	180,000	260,000
G	7 weeks	4 weeks	900,000	1,020,000
H	9 weeks	6 weeks	200,000	380,000
I	7 weeks	5 weeks	210,000	270,000
J	8 weeks	6 weeks	430,000	490,000
K	4 weeks	3 weeks	160,000	200,000
L	5 weeks	3 weeks	250,000	350,000
M	2 weeks	1 week	100,000	200,000
N	6 weeks	3 weeks	330,000	510,000

e) Formulate an LP Model to determine an optimal crashing for each of the activities in order to complete the project within 40 weeks