a-Using Table 1 draw the network , find the critical path using CPM.Set up the LP model and find free float and total float.Draw the network similar to the figure in the Figure 1

Table 1

Activity	Predecessor	Duration
A	-	10
B	-	7
C	A,B	5
D	A,B	3
E	C	4
F	C,D	3
G	F	14

b-If we want to complete the project in 25 days,Set up the LP model using Table 2

Table 2

Activity	Reduction Cost	Max Possible Reduce Time
A	20	2
B	30	2
C	40	2
D	10	2
E	50	2
F	30	2
G	20	2

c-If project due date is 30 , find the probability of project completion type at 30 days using Table 3 with PERT method

Table 3

Activity	Predecessor	Duration	a	b	m
A	-	10	8	12	10
B	-	7	4	10	7
C	A,B	5	4	6	5
D	A,B	3	2	4	3
E	C	4	2	6	4
F	C,D	3	1	5	3
G	F	14	8	20	14

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