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- Activities, preceding activities, normal and crashed completion times of each of the activities and crashed costs of activities per week of a project are given in the following table. Activity Preceding Activity Normal Crashed Completion time (week) Crashed Cost Completion Time (week) 7 per week A 7 B $500 C 4 3 $700 $600 A A, C В, D D, E D 7 E F 10 9. $800 9 8 $400 i. Draw the network diagram linking all the activities in a way that it shows if there exist any preceding activity/activities before starting each of the mentioned activities in the above table. ii. Find the earliest start time, the earliest finish time, the latest start time and the latest finish time of each of the activities in the drawn diagram of the project and hence the completion time of the project and the critical path.The following represents a project that should be scheduled using CPM: IMMEDIATE PREDECESSORS ACTIVITY A ABCDEFGH B-E-G-H b. What is the critical path? A-C-F-H OA-D-F-H A-D-G-H A A B C,D D, E F,G Project completion time a LLL23312 TIMES (DAYS) m •WNNW: 3 2 2 3 4 4 4 4 b 5 3 3 4 11 c. What is the expected project completion time? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. days 565Construct an activity network diagram using Table 3a. Activity A B C D E F G Predecessors - - A A,B D C,E E Expected Time(WKS) 7 9 12 8 9 6 5 Table 3a Activity Durations and relationship Conduct a forward and backwards pass for the activity network diagram that you have constructed and identify the critical path and its duration. Calculate the slack on all of the activities, and proceed to analyze how knowing the slacks can help to manage schedule risk the a project 3b. Assuming that there is the risk of exceeding the project schedule baseline for 7 weeks, critically evaluates the options available that could be used to bring the project on track
- By using Bar chart planning method, find the following: - Total duration for the project activities shown below - The project completion date (assume the start date is 1/3/2012 Activity A CDEFGHI J Duration 85 2846 7 45 6 (days) Following Activity C,D EFGHIJJ * If the project shown above had a delay of (4 days after (13working days), what would its new delivery date be? B B8 EARNED VALUE ANALYSIS The following project is reported to be at the end of its 8 week. Find the cost and schedule variances. Also find the CPI, SPI, CSI, ETC and EAC for the project. Find the condition of the project at the this reporting period. PV AC Budget ($) Duration Actual Cost % D-8 Activity Predecessor (s) (week) ($) Complete 300 400 A 3 100 A3 В 4 200 180 100 B:4 C 7 250 300 90 A 8 600 400 50 400 200 В 40 150 180 F В 4 100 G C 4 100 200 40 500 H D, E 2 300 F, G 3 J H, I 1 100 ㅇ CO 프 (-)Based on Table below, discuss how to complete the following project case:a. Create a network model in the form of Activity and Arrow (AoA) and Activity on Node (AoN) for the marketing product project of a company using the CPM method (manual and optimization software)! b. Analyze the critical path and critical duration for the company's project! Activity Description Predecessor Duration (day) A Production Planning — 18 B Market Survey and Market Research — 20 C Production Analysis A 28 D Modeling Product A, B 31 E Sales Brochures A, B 21 F Cost Analysis C, E 33 G Product Experiment D, E 42 H Sales Training B, E 29 I Cost Pricing H 26 J Project Report F, G, I 50
- Draw a fully analyzed AON network diagram and determine the project duration. Be sure to include all activity times (ES, LS, EF, LF) in the network diagram. also, prepare an activities boundary timetable for the project.PROJECT PLANNING & SCHEDULING WITH GANNT CHART Given the activities of a project; their optimistic (to), most likely (tm) and pessimistic(tp) time estimates; and their immediate predecessors shown below:1. When is the earliest project completion?2. Which activities are critical (should not be delayed)?3. Which activities are noncritical (can be delayed)?4. How long can each of the activities be delayed without delaying the wholeproject (maximum slack)? Activities Activity Times,months ImmediatePredecessors Maximum Slack,months A 2 - B 3 - C 2 A D 4 B E 4 C F 3 C G 5 D, E H 2 F, GRoger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities, immediate predecessors, and times appear in the accompanying table: a. the critical activities for the leadership training program development project are: _____ b. the project length for the leadership training program development project= __ days. c. Slack time for each of the activities is: Activity: Slack time: A ______ B ______ C ______ D ______ E ______ F ______ G ______
- B/U pe Activity A B D 11. A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $4,000 per week for every week the project exceeds 37 weeks. What is the lowest total cost for completing this project? Predecessor Time 18 11 A A B C E D Normal A H 12 15 3 19 Asbe de ABC' AMBBC RACE AB 7 8 12 6 Normal Cost Crash Time Crash Cost $22,000 $32,000 $62,000 $18,000 $35,000 $8,000 $23,000 $32,000 $56,000 $12,000 5 $18,000 19 $22,000 $9,000 $15,000 $5,000 $13,000 $20,000 $45,000 2 5 4Draw a network diagram showing the linkage between these activities from start to finish. For the diagram, each activity should be labelled alphabetically ie. A, B, C… etc. PERT Formula: TE = (O + 4T + P) / 6 TE = Pert Expected Time Duration, O = Optimistic estimate, P = Pessimistic estimate, T = Most Likely (Typical) estimate Activity Predecessor Optimistic Most Likely Pessimistic Duration Duration in Weeks A — 2 3 4 B — 4 5 7 C B 1 2 3 D C & E 0.5 1 1.5 E B 0.5 1 1.5 F C 2 3 4 G F 2 3 4Consider the following project network and activity times (in days). E Start Finish D F G Activity | A B C D EF G Time 3 5 6 .2 The crashing data for this project are as follows: Time (days) Cost ($) 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.