15. A construction project has indirect costs totaling 4, per week. Major activities in the proj- and their expected times in weeks are shown in this precedence diagram. ~\\ a {1, \\@ 4 6 ,/:/' @LGDg'0 Crashing costs for each activity are: CRASHIHG COSTS {$0130} Activity First Week Second Week Third Week 1-2 $13 $22 $ 25 24 25 25 5? 3D 3D 35 21 1 15 2G 1 11 3 3D 33 35 13 12 24 25 33 31 1 4D 4G 4G 33 3 1G 12 31 2 2 2 11.1 121 3 2E 14 113 15 25 46 3 13 611."! 5 12 1131 2 14 15 a. Determine the optimum timecost crashing plan. b. Plot the totalcost curve that describes the least expensive crashing schedule that will reduce the project length by six weeks. . Three recent college graduates have formed a partnership and have opened an advertising firm. Their first project consists of activities listed in the following table. a. Draw the precedence diagram. b. What is the probability that the project can be completed in 24 days or less? In 21 days or less? c. Suppose it is now the end of the seventh day and that activities A and B have been completed, while activity D is 50 percent completed. Time estimates for the completion of activity D are 5, t3, and T. Activities C and H are ready to begin. Determine the probability of finishing the proj ect by day 24 and the probability of finishing by day 21. TIME IN DAYS Immediate Activity Predecessor Optimisc Most Likeiy Pessimistic A 5 E i' B B 8 1 1 C A 6 3 1 1 D 9 12 1 5 E C 5 9 F D 5 E T G F 2 3 i' H B 4 4 5 | H 5 i' 3 End E, G, | d. The partners have decided that shortening the project by two days would be beneficial. as long as it doesn't cost more than about $20,000. They have estimated the daily crashing costs for each activity in thousands. as shown in the following table. Which activities should be crashed. and what further analysis would they probably want to do? IIll. The project described in the following table is scheduled to be completed in l 1 weeks. Construct a network diagram using AIDA or AON (see Example 5 for either type). Then, answer the follow ing questions: a. If you were the manager of this project. would you be concerned? Explain. b. If there is a penalty of $5.000 a week for each week the project is late. what is the probability of incurring a penalty of at least $5,000? Estimated Time Standard Path Activity {weeks} Deviation {asks} A C 4 0.?0 D 6 0.90 B E 3 0.62 F 9 1.90 Chapter Seventeen Project Management 775 b. AON diagram c. ADA diagram 0 5 6 -\\ ' @4\\ d. AON diagram 7 S 3 4 5 7 6 (9. 2. Chris received a new laptop for her birthday. She also received a check. with which she intends to purchase a new printer. Chris's college instructor assigned a paper due next week, so Chris decided to prepare the paper on her new computer. She made a list of the activities she needs to do. and their estimated times. a. Arrange Chris's activities into two logical sequences. b. (1) Construct an AOA network diagram. (2] Construct an AON diagram. 57 Determine the critical path and the expected duration time