Question

Consider a project to produce custom door moldings for GMC Acadia​ cross-over vehicles, described in the following table.

Activity   Activity Time (weeks)   Immediate Predecessor(s)
START   0   -
A   2   START
B   6   START
C   1   B
D   2   A
E   8   A, B
F   8   D, E
G   2   C, E
FINISH   0   F, G

You are interested in completing your project as soon as possible. You have only one option. Suppose you could assign Employee​ A, currently assigned to Activity​ G, to help Employee​ B, currently assigned to Activity F. Each week that Employee A helps Employee B will result in Activity G increasing its time by one week and Activity F reducing its time by one week. How many weeks should Employee A work on Activity​ F?

Employee A should work.   weeks on Activity F and the​ project's duration will be reduced t weeks.

​(Enter

your responses as

integers.​)

Answer 1

ACTIVITY	DURATION	ES	EF	LS	LF	SLACK	CRITICAL
A	2	0	2	4	6	6 - 2 = 4
B	6	0	6	0	6	6 - 6 = 0	YES
C	1	6	7	19	20	20 - 7 = 13
D	2	2	4	12	14	14 - 4 = 10
E	8	6	14	6	14	14 - 14 = 0	YES
F	8	14	22	14	22	22 - 22 = 0	YES
G	2	14	16	20	22	22 - 16 = 6

ES = MAX(EF OF ALL PREDECESSORS); 0 FOR FIRST ACTIVITY

EF = ES + DURATION

LF = MIN(LS OF ALL SUCCESSOR ACTIVITIES); MAX EF AS LF FOR LAST ACTIVITY

LS = LF - DURATION

SLACK = LF- EF

CRITICAL PATH = LONGEST PATH WITH 0 SLACK:

CRITICAL PATH = B---E---F

DURATION OF PROJECT = 22

2. A SHOULD WORK ON F FOR 3 PERIODS FOR THE PROJECT TO HAVE THE LOWEST POSSIBLE SCHEDULE

ACTIVITY	DURATION	ES	EF	LS	LF	SLACK	CRITICAL
A	2	0	2	4	6	6 - 2 = 4
B	6	0	6	0	6	6 - 6 = 0	YES
C	1	6	7	13	14	14 - 7 = 7
D	2	2	4	12	14	14 - 4 = 10
E	8	6	14	6	14	14 - 14 = 0	YES
F	5	14	19	14	19	19 - 19 = 0	YES
G	5	14	19	14	19	19 - 19 = 0	YES

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