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

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

a. critical path network is shown

b. criteria for critical activities is slack = 0 and EF - ES = duration

hence activities satisfying above both criteria are A, C, D, F and G

therefore critical path is A-C-D-F-G

c. project completion time = LF of last activity = 23 weeks

d. ES, EF, LS and LF are calculated in table above

e. activity B have slack of 1 week