A cosmetics company has identified a set of activities that must be performed to bring a new product to market. The activities, their precedence relations, and time estimates to complete each activity (in days) are shown in the following table.

                               

a. Draw the activity network for this problem.
b. Assume that activity times follow a triangular distribution, and perform 500 replications on the model.
c. Estimate the probability of each activity falling on the critical path.
d. On average, how long should it take to finish the project?
e. Suppose a change can be made in activity J so that it no longer requires activity O to be completed before it begins. What effect would this have on the project completion time and the criticality of each activity?