• Draw the Network diagram. • Calculate expected time and variance for each activity. • Find the critical path. • Calculate the total project completion time. Find project variance.
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- Q4- For the activities shown in the table using PERT, draws the network diagram and determine the probability that the project is completed within 70 days. Activity T. 17 6. T, 47 A 29 B 12 24 C 16 19 28 D 13 16 19 E 5 14 F 8QUESTION 16 Refer to the project addressed in questions 21-30 of your Quiz 1 and associated worked solutions used in our review session. The following table of probabilistic time estimates (in weeks) and activity predecessors are provided for the project. Activity A B D E Table 1 Reference: Ref 1 optimistic most likely time time 3 4 2 6 5 5 8 3 9 9 pessimistic time 7 10 5 12 15 Activity Predecessor A A B, C D Using Table 1, which of the following statements are correct? O A. The latest finish time of activity B is the same as its earliest finish time O B. Activity A is critical because it is the starting activity in the project O C. Activity D must be critical because it is the only predecessor of activity E O D. Answers A and B are correct O E. Answers A and C are correctStart 10 16 18 20 Weeks after start 4. For each of the following network diagrams, determine both the critical path and the expected project duration! The numbers on the arrows represent expected activity times. a) AOA (Activity-On-Arrow) diagram 5 9 2 10 3 7 8 12 10 3 11 BM HL Assignment 1- Due Date 24 March 2022 b) AON (Activity-On-Node) Diagram 3 18 4 10 6 5 13 2 11 c) AOA (Activity-On-Arrow) Diagram 14 13 5 12 6 15 14 13 ן1 3 16 13 14 15 8. 11 10
- The activities necessary for the completion of this project are listed in the following table: Normal Crash Time Time Normal Crash Immediate Predecessor(S) Activity (Weeks) (Weeks) Cost Cost 6 3 $2,100 $2,700 -- 1 1,900 2,400 -- 3 400 800 6 1,950 2,500 с 3 1,100 1,200 A, B 1 3,100 4,000 D, E a. What is the project completion date? [Select] weeks b. What is the total cost required for completing this project on normal time? [Select] c. If you wish to reduce the time required to complete this project by 2 weeks, which activity(s) should be crashed? [Select] V and how much will this increase the total cost by? $ [Select] d. If you required an additional week reduction, what activity would you crash? [Select] and how much is the total 3 week cost of " crashing? $ [Select] ABCDEF 2003 12 4 8 41) A list of activities, precedence relations, and optimistic, most likely, and pessimistic activity completion times for a project are as given below. Activity Name Predessor Activities Optimistic Most Likely Pessimistic A - 4 5 6 B A 3 4 8 C B 1 2 3 D A,C 3 6 8 E D 7 8 9 F E 4 5 7 G C 3 4 5 H D,E,G,I 12 13 15 I C 1 2 4 J G,H 1 1 1 K F,H,J 1 6 7 a) Draw an AOA network diagram for this project b) What is the expected competion time for each activity in the project? c) What is the variance associated with the expected completion time of each activity in the project? d) What is the critical path for the project? e) What is the expected completion time of the project? f) What is the variance of the expected completion time of the project? g) What is the probability that the project will be completed in 48 days, 45 days, and 42 days? 2) Using the data in problem 1), answer the following questions; use the most likely time as an estimate of the activity times in these questions. a) Draw an…blä 8 Q2/ By using PERT Method, Solve the ? following Q2/ For the project described in table below, assume that the activity durations are approximately normally distributed. Determine the probability to complete this project in (15 weeks). Activity Path m b a A (1,2) 1 2 В (2,3) 2 4 C (2,4) 1 3 D (4,5) 2 5 8 E (1,5) 2 4 F (5,6) 1 2 Note that the activity (3,4) is a dummy activity. 3. 3.
- Q/ For the project data in Table below, answer the following questions: a) Draw an AOA network of the project and Perform forward path and backward path calculations with critical path identification? b) What are the effect of delaying activities C by 5 days, G by 3 days and D by 5 days? Duration Immediate Activity (day) predecessor A 9. ---- -- В 11 A C А D 8 В, С E 6 А F 11 D, E G 7 C H 9 F, G I 7 H J 1 Hconsider the network described in the table below. Time in weeks. Activity Immediate Predecessor(s) Pessimistic Probable Optimistic J -- 15 10 8 K -- 9 8 6 L J 10 6 5 M J 3 3 4 N K,M 9 5 2 O K,M 12 7 5 P L,N 10 8 3 (a) Calculate the expected duration of each activity. (b) Calculate the expected duration and variance of the critical path. (c) Calculate the probability that the project will be completed in more than 26 weeks time? How about 30 weeks?Consider the following project network and activity times (in days). E Start Finish D F G Activity | A B C D EF G Time 3 5 6 .2 The crashing data for this project are as follows: Time (days) Cost ($) Activity Normal Crash Normal Crash 800 1,200 2,000 A 2 1,400 В 2 1 1,900 3 2,800 1,500 1,800 2,300 E 6 4 2,800 1,000 1,000 F 2 1 600 G 2 1 500 a. Find the critical path and the expected project completion time. b. What is the total project cost using the normal times? Assume that management desires a 12-day project completion time. c. Formulate a linear programming model that can be used to assist with the crashing decisions. d. What activities should be crashed? e. What is the total project cost for the 12-day completion time? 2.
- Q/ For the project data in Table below, answer the following questions: a) Draw an AOA network of the project and Perform forward path and backward path calculations with critical path identification? b) What are the effect of delaying activities C by 5 days, G by 3 days and D by 5 days? Duration Immediate Activity (day) predecessor А В 11 A C A D 8 В, С E А F 11 D, E 7 C H F, G I 7 H J 1 H••• 3.31 Development of Version 2.0 of a particular account- ing software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table:Q2/ For the project data in Table below, answer the following questions: a) Draw an AOA network of the project and Perform forward path and backward path calculations with critical path identification? b) What are the effect of delaying activities C by 2 days and D by 20 days? Duration Immediate Activity (day) predecessor A 20 ------- 8 ---- -- 23 ------ 19 A E 16 C F 24 C G 18 Е, В H. 4 D,E, B 10 G, D