You are charged with presenting a training program to a client who has bought a software package from your firm. This software package applies the critical path method, with a lot of colorful and attractive screens. Users have to know and under-

stand the critical path method, as well as Visual Basic and Windows 95, to make the product work. You have the following activities with duration estimates and prede-

cessor relationships:

a. Identify expected durations for each activity, as well as early start, late start, early finish, and late finish using these expected durations.

b. Identify the critical path.

c. The contract calls for this program to begin in 150 days (working days, the unit used in durations). What is the probability that you can begin this training? (You're not supposed to begin training until teachers are rehearsed.)

Activity Optimistic Most Likely Pessimistic Predecessors A Identify teaching goals for CPM 3 days 5 days 6 days None B Identify teaching goals 7 days 8 days 12 days None for Visual Basic C Identify teaching goals 2 days 3 days 4 days None for Windows 95 D Develop lesson plans for CPM 7 days 10 days 15 days E Develop lesson plans 20 days 25 days 35 days AB for Visual Basic F Develop lesson plans 1 day 3 days 5 days C for Windows 95 GH Generate teaching aids for CPM 20 days 30 days 50 days DE Generate teaching aids 50 days 70 days 100 days for Visual Basic 1 Generate teaching aids 2 days 4 days 8 days F for Windows 95 J Hire teachers 15 days 20 days 30 days None K Schedule teaching program 1 day 3 days 6 days D,E,F with client L Obtain facilities 1 day 5 days 20 days K M Obtain equipment 3 days 5 days 7 days L N Develop exercises 20 days 30 days 50 days D,E,F 0 Develop tests 5 days 7 days 10 days D,E,F P Train teachers 30 days 35 days 45 days G,H,I,J Q Rehearse teachers 5 days 5 days 5 days P