Consider the following table of activities A through G in which A is the start node and G is the stop node. Activity A B C D E F G Duration (days) 10 20 5 3 20 4 10 Predecessor A A B, C B, C B, C D, E, F On a piece of scratch paper, draw the network associated with this table and determine the following. Considering the lengths of all the paths this project i
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- A project has seven (7) main activities labelled A through G as shown in the below table which also shows their estimated duration times ( in weeks) and immediate predecessors. Activity a b Immediate Remarks predeccessor A 1 2 3 a = optimistic time 2 3 4 m = most likely time C 4 A b = pessimistic time 8 9 10 E 2 5 8 C,D 4 6. G 1 2 3 E (a) Develop a project network for this problem.Consider a project for which the following activities and time estimates in weeks apply activity To tm tp 1-2 3 5 8 1-3 2 3 5 1-5 2 3 4 2-3 1 2 5 2-6 7 8 9 3-4 1 3 6 3-5 2 4 6 4-5 1 2 4 5-6 1 2 3 Draw the project network Compute the expected time and variance for each activity iii. Compute slack for each event and find the critical path Find the length of the critical path and the project duration Approximate the probability that activity 3 – 4 will have positive slack. What is the managerial implication of that probability?The estimated times and immediate predecessorsfor the activities in a project at George Kyparis’s retinal scan-ning company are given in the following table. Assume thatthe activity times are independent. a) Calculate the expected time and variance for each activity.b) What is the expected completion time of the critical path?What is the expected completion time of the other path inthe network?c) What is the variance of the critical path? What is the vari-ance of the other path in the network?d) If the time to complete path A–C is normally distributed,what is the probability that this path will be finished in22 weeks or less?e) If the time to complete path B–D is normally distributed,what is the probability that this path will be finished in22 weeks or less?f) Explain why the probability that the critical path will befinished in 22 weeks or less is not necessarily the probabil-ity that the project will be finished in 22 weeks or less.
- 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 Activity (weeks) 6 7 ABCO 3 2 Immediate Predecessor(s) A A D Dave's earliest start (ES) and earliest finish (EF) are: Time Activity (weeks) 4 EFGHI 6 10 7 Immediate Predecessor(s) 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: 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, FA project has seven (7) main activities labelled A through G as shown in the below table which also shows their estimated duration times ( in weeks) and immediate predecessors. Activity a b Immediate Remarks m predeccessor A a = optimistic time 1 3 3 4 m = most likely time C 4 5 A b = pessimistic time D 8 9. 10 В E 2 8 C,D F 4 В G 1 3 E (a) Develop a project network for this problem. (b) Determine the expected duration and variance for each activity. (c) Determine the ES, EF, LS, LF, and slack time for each activity. (d) Determine the total project completion time and critical path(s). (e) Determine probability of the project completion more than 20 weeks 2. B.
- 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 50The table below show a set of activities of an IS project,its expected completion time (ET) and preceding activities. Activity Preceding Activity Expected Time (ET) A - 7 B A 9 C A,B 5 D C 17 E C 12 F C 7 G D,E,F 10 H D,G 7 Draw a network diagram for the IS project shown above.,and calculate its earliest completion time (TE), latest completion time (TL) and slack time (ST). If the activity E took 16weeks instead of 12weeks to complete ,what impact will it have on the project duration?The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activition nach must precede and the orash cost to reduce duration per week Crash Cos/Week ITI Duration (weeks) Activity A (start) Precedes B, C $370 B. 2. $120 $240 4. F (end) $140 $400 Suppose that Rafay is only given 8 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 Each Activity Should be Reduced Activity BY (weeks) week(s) week(s) woek(s) wook(s) week(s) What is the total crashing cost? $ (Enter your response as a whole number)
- 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 pathActivities, 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.A project network is shown below, with three time estimates (Optimistic Time-Most Likely Time-Pessimistic Time (in days)) for each activity in the network. a. Compute the expected time for each activity in the project network. b. Identify and list all possible paths in the project network. Compute the expected duration for each path in the project network. c. Identify the critical path(s) in the project network. What is the expected project completion time? d. Compute the variance of each activity on the critical path(s). e. Determine the project variance and project standard deviation. Use the PERT analysis results in 2(c) and 2(e) to answer questions (f), (g), (h), and (i) below:f. What is the probability that the project can be completed within 22 days of its start? g. What is the probability that the project can be completed within 16 days of its start? h. Determine the project deadline that gives this project a 78% chance of on-time completion. i. Determine the project deadline…