Problem 9-19 (Algorithmic) The product development group at Landon Corporation has been working on a new computer software product that has the potential to capture a large market share. Through outside sources, Landon's management learned that a competitor is working to introduce a similar product. As a result, Landon's top management increased its 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 project network is as follows: A 03 3 12 15 D 15 21 6 15_21 121 26 5121_26 Start C5 15 10 5 15 Finish G 10 19 12 21 9 B 0 5 0 E 5 10 57 12 5 H10 16 6 17 23 F 5 8 20 23 J16 19 3 23 26 3 The activity time estimates (in weeks) are as follows: Activity Optimistic Most Probable Pessimistic A 1.0 3.0 5.0 B 4.0 4.5 8.0 6.0 10.0 14.0 D 3.0 5.0 13.0 4.0 5.0 6.0 3.0 3.0 3.0 G 6.5 8.5 13.5 4.0 6.0 8.0 3.0 5.0 7.0 1.0 2.5 7.0 a. Develop an activity schedule for this project and identify the critical path activities. If required, round your answers to two decimal places. If your answer is zero enter "0". Activity Expected Time Variance 3 0.44 B 5 0.44 10 1.78 0 D 6 2.78 E 5 0.11 3 0 G G 9 1.36 I 6 0.44 I 5 0.44 3 1 1 Earliest Latest Earliest Latest Critical Activity Start Start Finish Finish Slack Activity A B D E F G H I j Critical Path: B-C-D-I b. What is the probability that the project will be completed so that Landon Corporation may introduce the new product within 25 weeks? Within 30 weeks? Expected project completion time = 25 weeks. If required, round your answer to two decimal places. O2 = 1.93 If required, round your answer to two decimal places. P(25 weeks) = 0.3050 If required, round your answer to four decimal places. P(30 weeks) = 0.9803 If required, round your answer to four decimal places