Question: At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE has to complete several activities. The following table lists information regarding each activity. An activity's immediate predecessors are those activities that must be completed before the considered activity can begin. The table also lists duration estimates (in days) for each activity.
The following network illustrates the precedence relationships in the SCOPE project. The project begins with activities A and B, which can start immediately (time 0) because they have no predecessors. On the other hand, activity E cannot be started until activities B and C are both completed. The project is not complete until all activities are completed.
a. Using the PERT distribution in ASP to represent the duration of each activity, construct a simulation model to compute the total time to complete the concert preparations.
b. What is the expected duration of the entire project? What is the standard deviation of the project duration?
c. What is the likelihood that the project will be complete in 23 days?