Question

Four Squares Productions, a firm hired to coordinate the release of the movie Pirates of the Caribbean: On Stranger Tides (starring Johnny Depp), identified 16 activities to be completed before the release of the film. The appropriate data are shown in the following table: Immediate Predecessor(s) Immediate Predecessor(s) Activity >> 3.0 Time (weeks) Activity a m b 1.0 2.0 4.0 11.0 12.5 14.0 C 9.0 12.0 15.0 D 4.0 5.0 7.0 5.0 7.0 G 3.0 5.0 6.5 4.0 7.7 9.0 D Time (weeks) a m b 10.5 13.0 14.0 4.0 7.0 2.0 4.0 6.0 1.0 5.0 6.0 3.0 6.0 6.5 12.3 15.0 4. 07 .0 8.0 3.0 8.0 9.0 2.0 4.0 DOZ3XL IQTMO 4.0 F. GH J, KL I,M N 0 This exercise contains only parts a and c. a) Four Squares should start preparing for the release of the movie weeks in advance of the film's release as this is the length of the project. (Round your response

Answer 1

ANSWER:

Activity	Optimistic time-a	Expected completion time-m	Pessimistic time-b	Expected time= (a+4*m+ b)/6
A	1	2	4	2.17
B	11	12.5	14	12.50
C	9	12	15	12.00
D	4	5	7	5.17
E	2	4	5	3.83
F	4	7	8	6.67
G	3	5	6.5	4.92
H	4	7	9	6.83
I	10.5	13	14	12.75
J	3	4	7	4.33
K	2	4	6	4.00
L	1	5	6	4.50
M	3	6	6.5	5.58
N	8	12.3	15	12.03
O	4	7	8	6.67
P	3	8	9	7.33

step 1

find early start, and early finish from the start of the project for each activity

Activity	Duration, D	Early start, ES=Max of early finish of preceding activities	Early finish, EF = ES + D
A	2.17	0.00	2.17
B	12.50	0.00	12.50
C	12.00	0.00	12.00
D	5.17	0.00	5.17
E	3.83	0.00	3.83
F	6.67	2.17	8.84
G	4.92	12.50	17.42
H	6.83	12.00	18.83
I	12.75	12.00	24.75
J	4.33	12.00	16.33
K	4.00	5.17	9.17
L	4.50	3.83	8.33
M	5.58	18.83	24.41
N	12.03	16.33	28.36
O	6.67	24.75	31.42
P	7.33	28.36	35.69

step 2

Find Maximum EF

Max of EF is 35.69, hence the project will take 35.69 weeks

Answer a: So we should start the project 35.69 weeks before

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