Given the following activity assumptions table:

Immediate Duration

Activity Predec. (Days) Name

A -- 9 Pre-project

B -- 3 Market study

C A 7 Feasibility study

D A 7 Realization

E A 2 Definition of marketing policy

F C 5 Cost estimation

G D 1 Prototypes presentation to the customer

H B,E 4 Determination of the cost of the product

I H 4 Evaluation of the turnover

J F,G,I 7 Synthesis report before the start of the series

Draw the PERT network adding the necessary information (4pt)

Analyze the paths through the network and find the critical path (1pt)

Calculate the total slack time in the network (2pts)

Assuming the same network of Above, suppose that the Optimistic time is 2 days less than the Most Likely time, that the Pessimistic time is 3 days more than each Most Likely time, and that the Most Likely time is given in the table below:

Most Likely

Activity Time (Days)

A 7

B 3

C 4.5

D 4.5

E 5

F 6

G 7

H 5.5

I 5

J 7.5

Determine the Expected Time for each activity (1pt)

Calculate the standard deviation of the project duration (1pt)

Determine the probability that the project is completed within 27 days (1pt)