If the duration of each activity is known with certainty, then the critical path method can be used to determine the length of time required to complete a project.
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If the duration of each activity is known with certainty, then the critical path method can be used to determine the length of time required to complete a project.
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- Dave 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 B с D 7 8 80 31 3 A A Dave's earliest start (ES) and earliest finish (EF) are: Activity A EFI G H ES EF 7 4 5 11 6 B B C, E D, FDefine each of these terms, and indicate how each is determined.a. Expected activity time.b. Variance of an activity time.c. Standard deviation of a path’s time.The new director of special events at a large university has decided to completely revamp graduation ceremonies. Toward that end, a PERT chart of the major activities has been developed. Thechart has five paths with expected completion times and variances as shown in the table. Graduation day is 16 weeks from now. Assuming the project begins now, what is the probability that theproject will be completed beforea. Graduation time?b. The end of week 15?c. The end of week 13?PathExpected Duration(weeks) VarianceA 10 1.21B 8 2.00C 12 1.00D 15 2.89E 14 1.44
- -15) A project being analyzed by PERT has 60 activities, 13 of which are on the critical path. If the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take less than 224 days to complete? A) near zero B) 0.0126 C) 0.1587 D) 0.8413 E) 2.14 22Charlie 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, FColeman 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).
- Dave 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 Immediate Time Immediate Activity (weeks) Predecessor(s) Activity (weeks) Predecessor(s) A 7 E В В 8 F В С, Е D, F C 4 A 1 A H 6. Dave's earliest start (ES) and earliest finish (EF) are: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.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 Crashed Completion time (week) Normal Crashed Cost Completion Time (week) 7 per week A 7 6. 5 $500 $700 $600 $800 $400 C A 4 3 A, C В, D D, E D 9 E 10 9. F 9 II. Find the slack time of each of the activities and the critical activities. Find the minimum possible completion time of the project by considering the crashed completion times and the minimal total cost of crashing the project. iv.
- Dave 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, F1. A project was planned using PERT with three-time estimates. The expected completion time of the project was determined to be 40 weeks. The variance of the critical path is 9. (b) What is the probability that the project takes longer than 40 weeks?1. A project was planned using PERT with three-time estimates. The expected completion time of the project was determined to be 40 weeks. The variance of the critical path is 9. (c) What is the probability that the project will be finished in 46 weeks or less?