What is the minimum number of weeks that the project can be completed in (i e. the duration of the critical path)?
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- PROJECT PLANNING & SCHEDULING WITH PERT/CPM Given the activities of a project; their optimistic (to), most likely (tm) and pessimistic (tp) time estimates (te); 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 ImmediatePredecessors Activity Times (to) Activity Times (tm) Activity Times (tp) Activity Times (te) Maximum Slack,months A - 1 4 13 B A 4 7 16 C A 2 2 2 D C 4 6 14 E - 1 3 5 F E 3 5 13 G - 7 10 13 H G 6 7 14 I B, D 1 1 1 J F, H, I 13 16 25PROJECT 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 4Activities, 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.Consider the project described in the table below: Activity Duration A B C D E F G H 9 4 8 8 5 7 4 6 OEST-9 and LCT = 15 OEST=9 and LCT = 13 Immediate Predecessor What is the earliest start time (EST) and latest completion time (LCT) of activity B? OEST=9 and LCT = 20 OEST-9 and LCT-17 - A A A B B,C C,D E,F,G
- The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity Duration (weeks) Precedes Crash Cost/Week A (start) B с E F (end) 2 2 5 2 3 Activity B. C E F F A Suppose that Rafay is only given 7 weeks (instead of 10) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration, Each Activity Should be Reduced BY (weeks) $380 $110 week(s) $200 $160 $450Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Time Activity (weeks) A BCD Dave's earliest start (ES) and earliest finish (EF) are: 500 3 3 8 Immediate Predecessor(s) A A Activity AB C Time Activity (weeks) 5 5 9 7 EFGH ES 0 0 EF 5 8 8 Immediate Predecessor(s) B B C, E D, FThe following bar chart shows the activities for a project. The total project cost is $1,545. Time (weeks) 6 7 Total Activity Cost 2 3 4 8 | 9 10 A $120 В $35 $80 D $270 E $60 F $180 $270 $90 G J $160 K $60 L $220 $1,545 After three weeks, Activities A, C, E, half of B, quarter of F, and two thirds of H are completed for a cost of $435. At this point in time (three weeks after the start date), what is the status of the project in terms of budget (over or under budget) and schedule (ahead or behind schedule)? Use SPI and CPI to determine your answers.
- Given is a CPM project network diagram as shown below. Start A с B D E F G H End Start A B C D E F G H End Activity days 0 2 6 8 3 4 2 3 2 0 a) The Project Completion time Blank 1 days. b) The Earliest Start time, ES, of Activity G = Blank 2 days. c) The Latest Finish time, LF, of Activity C = Blank 3 days. d) The critical activities are = Blank 4 (ex. Fill in the answer as: ABCD)8 EARNED VALUE ANALYSIS The following project is reported to be at the end of its 8 week. Find the cost and schedule variances. Also find the CPI, SPI, CSI, ETC and EAC for the project. Find the condition of the project at the this reporting period. PV AC Budget ($) 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 (-)The following activities are part of a project to be scheduled using CPM: TIME (WEEKS) 7 6 ACTIVITY IMMEDIATE PREDECESSOR A BCDEFG O A-C-D-E-G O A-B-E-G O A-C-D-F-G O A-B-D-F-G AACB A Number of weeks A b. What is the critical path? B, D D E, F 24346 c. How many weeks will it take to complete the project?
