a

Using Table 1 draw the network , find the critical path ,using CPM Set up the LP model

TABLE 1

ACTIVITY	Reduction Cost	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 LP model using Table 2

TABLE 2

ACTIVITY	Reduction Cost	Max Possible Reduction Time
A	-	2
B	-	2
C	A,B	2
D	A,B	2
E	C	2
F	C,D	2
G	F	2

c If project due date is 30 , find the probability of project completion time at 30 days Using Table 3 with PERT

TABLE3

ACTIVITY	Reduction Cost	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