operations

Prob1&2

Problem 1/2
Activity	Activity Time	Immediate Prd
A	3	none
B	4	A
C	2	B
D	5	B
E	4	C
F	3	D
G	2	E,F
	Use the fill shape tool to identify the critical path
				4
			2
					2
	3	4
			5	3
a
b

a

b

c

d

e

f

g

Prob4-8

Problem 6
#4>	Draw together
#7>	Completion time
	Critical path	acegij
#8>	Standard Deviation	0
38	P(project<38wks)	38
42	P(project<42wks)	42
				= normdist(x,mean,sdev,1)
Activity	Immediate Prd	Optimistic Time	Most Likely Time	Pessimistic Time	(#5) Expected Time	(#6) Variance
A	none	3	6	9
B	A	3	5	7
C	A	4	7	12
D	B	4	8	10
E	C	5	10	16
F	D,E	3	4	5
G	D,E	3	6	8
H	F	5	6	10
I	G	5	8	11
J	H,I	3	3	3								Possible Paths
												Path1	Path2	Path3	Path4
										Total Time

a

b

e

f

g

j

h

d

i

c

Prob10

Problem 10
				1.Determine how much the project needs to be reduced
				2. Determine which activities on the critical path can be reduced
				3. Crash critical activities on the basis of increasing costs
					Crash the least expensive activity first and so on
					Calculate the total costs associated with crashing the project
				Crash this project by 3 weeks
Activity	Normal Time	Normal Cost	Crash time	Crash Cost	Max Weeks Reduced	Crash Cost per Week
A	4	$ 800	3	$ 1,200	1.0	$ 400
B	3	$ 900	2	$ 1,000	1.0	$ 100
C	5	$ 1,250	3	$ 2,250	2.0	$ 500
D	2	$ 800	2	$ 800	0.0	$ - 0
E	5	$ 1,500	4	$ 2,000	1.0	$ 500
F	6	$ 2,000	5	$ 3,000	1.0	$ 1,000
G	4	$ 600	3	$ 900	1.0	$ 300
H	3	$ 900	3	$ 900	0.0	$ - 0
		Activity	Savings
Take one week from
Take one week from
Take one week from