Consider the PERT network given below: 10 1-2-3 20 8-10-12 3-4-6 3-5-7 30 40 50 4-5-6 7-8-9 60 6-8-10 1-4-7 70 Determine the float of each activity and identify the critical path if the scheduled completion time for the project is 20 weeks.
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- Roger 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 ______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: ACTIVITY A B C D E F G H IMMEDIATE PREDECESSORS A A B C, D D, E F,G b. What is the critical path? ⒸA-D-G-H OB-E-G-H ⒸA-C-F-H A-D-F-H Probability TIMES (DAYS) b Project completion time a 1 1 2 1 1 3 1 2 m 2 2 2 8 2 4 3 3 6 9 11 9 3 c. What is the expected project completion time? Note: Do not round intermediate calculations. Round your answer to 3 decimal places. 11 11 11 X Answer is not complete. days d. What is the probability of completing this project within 19 days? Note: Use Excel's NORM.S.DIST function to find the correct probability for your computed Z value. Do not round intermediate calculations. Round Z value to 2 decimal places and final answer to 4 decimal places.
- Coleman Rich Control Devices, Inc., produces custom-built relay devices for auto makers. The most recent project undertaken by Rich requires 14 different activities. Rich's managers would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table: Time (days) a m 3 7 1 2 6 4 Immediate b Predecessor(s) Activity Activity A B C D E F G a) The expected completion time of the project = 10 9 3 6 11 8 17 7 3 3 5 1 7 8 A A B, C D D H I J K L M N Time (days) a 5 1 3 6 3 1 6 m 5 5 6 8 4 Immediate b Predecessor(s) 6 10 7 11 6 3 3 8 11 E, F G, H I J K L, M days (round your response to two decimal places).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,GRelevant information for a project consisting of activities A, B, ..., K is provided in the table below and the project network is provided. Activity Time in Weeks Immediate Predessors A 2 ΝΑ B C D E F G H I J K 7 7 6 2 2 7 7 2 6 5 The project network is: ΝΑ A, B C с E C D, F, G D, F H I, J What is the minimum number of weeks that the project can be completed in (i e. the duration of the critical path)?
- You may need to use the appropriate technology to answer this question. A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Start Optimistic Time (hr) Most Probable Time (hr) Start Floor Buffing Paint Mixing Naturally, paint mixing precedes the painting activities. Also, (a) Construct the PERT/CPM network for this problem. Floor Sanding 4 Paint Mixing 4 0.5 3 3 Paint Wall Paint Ceiling Paint Ceiling Paint Wall 5 5 1 4 7.5 Floor Sanding Pessimistic Time (hr) Floor Buffing Finish 6 Finish 6 ceiling painting and floor sanding must be dor 1.5 11 9 i Start Start prior to floor buffing. Floor Sanding Paint Mixing Floor Buffing Paint Mixing Paint Ceiling Paint Wall Paint Wall Paint Ceiling Floor Buffing Floor Sanding Finish FinishDave 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: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 7 - E 4 BB 8 - F 7 BC 4 A G 11 C, ED 1 A H 6 D , F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 0 7 B 0 8 C 7 11 D 7 88 E 8 12 Part 7 F ? ? G ? ? H ? ?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 565
- The following is the data available for a project: Activity Predecessor Expected Duration (Days) A - 12 B A 9 C B,E 3 D - 10 E D 6 F E 3 G - 2 H G 9 I E,H 2 Expected duration for the completion of the project. Calculate earliest and latest start and finish times for each activity. Draw the network diagram for the project and determine the critical pathCharlie Cook was able to determine the activity times for constructing his chemical contaminant tracking machine. Cook 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: Q Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 8 2 1 Charlie's earliest start (ES) and earliest finish (EF) are: A A Activity A EFGH ES EF 7 5 7 11 8 B B C, E D, FDave 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: Activity A B с D Time (weeks) 5 8 2 1 Immediate Predecessor(s) A A Dave's earliest start (ES) and earliest finish (EF) are: Activity A Activity EFGH ES Time (weeks) 3 EF 5 5 10 7 Immediate Predecessor(s) B B C, E D, F