Scheduling departmental manpower for a project is a very difficult task, even if slack time is available. Many managers would prefer to supply manpower at a constant rate rather than continually shuffle people in and out of a project.

a. Using the information shown below, construct the PERT network, identify the critical path, and determine the slack time for each node.

b. The network you have just created is a departmental PERT chart. Construct a weekly manpower plot assuming that all activities begin as early as possible. (Note: Overtime cannot be used to shorten the activity time.)

c. The department manager wishes to assign eight people full-time for the duration of the project. However, if an employee is no longer needed on the project, he can be assigned elsewhere. Using the base of eight people, identify the standby (or idle) time and the overtime periods.

d. Determine the standby and overtime costs, assuming that each employee is paid $300 per week and overtime is paid at time and a half. During standby time the employee draws his full salary.

e. Repeat parts c and d and try to consider slack time in order to smooth out the manpower curve. (Hint: Some activities should begin as early as possible, while others begin as late as possible.) Identify the optimum manpower level so as to minimize the standby and overtime costs. Assume all employees must work full-time.

f. Would your answer to parts d and e change if the employees must remain for the full duration of the project, even if they are no longer required?