Question

The following activities are part of a project to be scheduled using CPM:

ACTIVITY	IMMEDIATE PREDECESSOR	TIME (WEEKS)
A	—	7
B	A	6
C	A	2
D	C	4
E	B, D	3
F	D	4
G	E F	6

a. Draw the network (20 points)

b. What is the critical path?

c. How many weeks will it take to complete the project ?

d. Identify the early start, early finish, late start, and late finish for each activity in the project network

e. How much slack does activity B have ?

Answer 1

Answer:

First Identify the Earliest Start time (ES) and Earliest Finish time (EF)

ES = The latest EF of the precedence activities ( (Which is directly dependent on each other)

EF = ES + Duration

For the last activity ES = LS and EF = LF

now work backward

LF = Earliest LS of the following activities (Which is directly dependent on each other)

LS = LF - Duration

All activities are critical for which ES = LS

Critical Path: A - C - D - F - G

Project Duration = Sum of duration of critical activities = 23 weeks

Slack = LS - ES

Slack for Activity B = 8 - 7 = 1 week