A competitor of Kozar International, Inc. has begun marketing a new instant-developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speed up of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown below.
Activity Immediate Predecessors Optimistic Time Most Probable Time Pessimistic Time
A ------- 1 1.5 5
B A 3 4 5
C A 1 2 3
D B,C 3.5 5 6.5
E B 4 5 12
F D,E 6.5 7.5 11.5
G F 5 9 13
a. Draw the AOA project network.
b. For each activity, calculate the mean and variance of activity duration time
c. Using the mean activity times, conduct a CPM analysis and develop an activity schedule for this project using early and late start and finish times, compute activity slack time, and define the critical activities.
d. What is the expected (i.e. mean) project completion time? The standard deviation of the completion time?
e. What is the probability the project will be completed in time for Kozar to begin marketing the new product within 24 months?