Question

A project is represented by the following diagram:

c, 3 C. a, 4 g. 6 d, 5 f 2 b. 5 i.3 h, 1

1. The expected duration of this project is:

A.12

B.17

C.20

D.36

E.77

2. The critical path for the network shown is:

A. a-c-g.

B. a-d-f-g.

C. a-d-h-i.

D. b-e-f-g.

E. b-e-h-i.

Answer 1

Calculating the time taken by following the each path, such as,

Path1= a-c-g = 4+3+6 = 13

Path2 = a-d-f-g = 4+5+ 2+6 = 17

Path 3= a-d-h-I = 4+5+1+3 = 13

Path 4= b-e-f-g = 5+7+2+6 = 20

Path 5= b-e-h-i =5+7 +1+3 = 16

Considering that the critical path is the longest sequence of activities in a project plan which must be completed on time for the project to complete on due date. Hence the expected duration of this project is 20 and the critical path for the network is “ b-e-f-g”.

Answer (1) C

Answer (2) D