a. Compute the expected time and variance for each activity. (10 points)

b. Draw the PERT/CPM network for this project and determine the critical path and the expected duration of the project. (15 points)

c. What is the probability that the project will be completed so that the SJJC Corporation may introduce the new product within 32 weeks? Within 37 weeks? (7 points)

d. Top management would like to complete certain set of a tasks earlier to be able to test the quality and begin advertising for the product few weeks prior to releasing in the market. Compare the risk of overrunning a new deadline of 22 weeks for paths B-E-G-I and A-D-H-J? (8 points)

Problem 1 The product development group at SJJC Corporation has been working on a new bio-plastic product that has the potential to capture a large market share. Through outside sources, SJJC's management learned that a competitor is working to introduce a similar product. As a result, SJJC's top management increased it pressure on the product development group. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market. The relationship between activities and the activity time estimates (in weeks) are given as follows: Immediate Predecessor Activities Optimistic Time Most Likely Time Pessimistic Time Activity A B D E F G H I J A, C B,C B,D E D,G D G H 4 4 3 3 5 5 4.5 5 3 2 5 4.5 5 4 5 6 6.5 6 5 5 6 8 7 8 14 7 8.5 13 8.5 8 3. If you use Excel for your calculations, YOU STILL NEED to write the answers on your paper clearly (Except for Question 1, Parts a and b). You will submit your Excel work- however, ONLY the Question 1, Parts a and b will be graded from Excel