For the following sitution draw a PERT network, and determine the following:

a- Critical path

b- ES,LS,EF,LF and slack time for each activity

Minimum expected completion time	Crashing cost/day $$	Pessimistic time	Most probabl time	Optimistic time	Immediate predecessor(s)	Activity
1	900	1	1	1		A
2	400	8	6	3	A	B
3	700	6	5	4	A	C
3	800	4	3	2	A	D
		15	9	9	A	E
5	300	8	8	7	B	F
3	500	9	7	4	B	G
3	700	9	3	1	C	H
		7	6	5	D	I
2	1100	8	4	3	F,G,H	J
3	650	7	3	2	H,I	K
4	300	8	7	7	H,I	L
		15	9	8	D	M
7	1400	17	15	10	M	N
4	600	9	6	3	M	O
7	550	13	12	6	D	P
4	980	12	9	8	M	Q
		7	6	3	P,Q	R
		12	8	7	O,R	S
5	520	12	7	6	J,K,L,N	T
		5	5	4	J,K	U
1	100	2	2	2	J,K	V
		9	6	5	E,S,T,U,V	W
3	650	10	10	9	E,S,T,U,V	X
2	50	6	4	3	W	Y
4	250	9	8	7	X,Y	Z

c- Probability to complete the project in 8 days plus the calculated expected completion time or less.

d- Given the answers obtained in parts a and b, suppose the project has fixed costs per day of $1000. Also suppose you could reduce the length of the projects duration by expediting certain activitys expected time at a given cost shown in the table above to some minimum number of days, what would you recommend?((( i need the solution by hand please)))