Please answer all the questions and mention which question has been answered. And please mention answer number four. Thank you so much. I will rate well for this question. Thanks in advance.

Smart housing Inc.

Smart housing Inc. is negotiating a deal to build a house. The owner wants to start in early spring when the weather begins to moderate and build through the summer into the fall. The completion time is so critical for the owner that they insisting a project management network accompany the proposal with an estimate of the completion time for the house. The smart housing Inc. are experienced builders , so they listed the activities involved in building a house and times for each activity (optimistic(a),realistic (m), pessimistic (b)) as per the below table :

			Time (DAYS)
Activity	Description	Predecessor	a	m	b
A	Buying the land	-	3	4	6
B	Excavation and lay foundation	A	2	3	5
C	Frame and roof	B	2	4	5
D	Lay drain tiles	B	1	2	4
E	Sewer and drains	B	1	2	3
F	Insulation	C	2	4	5
G	Basement	E	2	3	5
H	Rough plumbing	E	2	4	7
I	Windows	F	1	3	4
J	Electrical wiring	F	1	2	4
K	Heating and cooling systems	C,G	3	5	8
L	Exterior bricks	I	5	6	10
M	Plasterboard	J,H,K	6	8	12
N	Roof shingles	L	2	3	6
O	Gutter	N	1	2	5
P	Grading	D,O	2	3	7
Q	Subflooring	M	3	4	6
R	Driveways	P	4	6	10
S	Carpentry	Q	3	5	12
T	Kitchen	Q	2	4	8
U	Bathrooms	Q	2	3	6
V	Painting	T,U	4	6	10
W	Wood floors	V,S	2	5	8
X	Light fixtures	V	1	3	4

You have been hired as the manager of this project; the company has asked you to complete the following:

1. Develop a CPM/PERT network. (13 Marks)
2. Determine the critical path of the project. (7 Marks)
3. The owner requested that the house to be ready in 55 days, what is your estimation of the project time? What is the probability of finishing it in 55 days? (8 Marks)
4. Discuss the positive impact that project management can have on housing projects in order to convince the company to use your services in the future. (7 Marks)