B A 2 Start 5 D F 12 E H 2 G J 110 10
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The network below represents a project being analyzed by the critical path method. Activity durations are A=5, B=2, C=12, D=3, E=5, F=1, G=7, H=2, I=10, and J=6.
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- The director of continuing education at Bluebird University just approved the planning for a sales training seminar. Her administra assistant identified the various activities that must be done and their relationships to each other, as shown in the following table: Click the icon to view the activities. Because of the uncertainty in planning the new course, the assistant also has supplied the following time estimates for each acti Click the icon to view the time estimates. The director wants to conduct the seminar 46 working days from now. What is the probability that everything will be ready in time the standard normal table. (Make sure to round all intermediate calculations for t, and variance to two decimal places) The probability that the seminar will be ready in time is 0.8643]. (Enter your response rounded to four decimal places.)The network diagram of a project with four activities is presented below. Start A B C D The estimated optimistic, most likely, and pessimistic times of each task are given in the table below. The expected time and variance of acitivities A are also given in the table. The expected time and variance of activity C and D are irrelevant in this problem. So they can be ignored. optimistic 14 4 5 5 most likely B 18 10 7 10 End pessimistic 23 18 13 12 Expected time 18.167 XX mm variance 81/36 [Three decimal places for all answers) (1) What is the expected task time of activity B? (2) What is the variance of the task time for activity B (3) What is the expected length of path A-B? (2) What is the standard deviation of the length of path A-B? yy 22Below is a project listed in a table with: activity, predecessor, and duration. Activity A B с D E F G H Predecessor none A A с B B D, E, F G Fill in the chart below by filling in: early start (ES), early finish (EF), ☐late start (LS), A late finish (LF), duration (D), and float (F). Then, answer the questions based on the chart. Hint: You can use the Word tools to fill in the chart, or you can draw the chart by hand, then photograph or scan your graph to submit it. 1. Fill in the chart below. B Duration (weeks) C 5 3 8 13 7 9 10 7 - D E F G H
- Consider a project that has been modeled as in Table 1 Draw the PERT/CPM network for this project and determine the project’s expected completion time µP and its critical path. Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP . Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)?1b) Given the limited resources as indicated in the table above: Evaluate the officer’s chance to catch the robbers, if she arrives between minutes 47.5 and 49.5 after the robbery begins. [Calculate the probability for the critical path only]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: Activity A B с D E F G a) The expected completion time of the project = a 4 1 6 5 1 2 1 Time (days) m 6 2 6 8 9 3 7 b 7 3 6 11 18 6 8 Immediate Predecessor(s) A A B, C D D Activity a H 4 I 1 J 2 K 8 2 1 6 M N days (round your response to two decimal places). Time (days) = m 4 6 5 9 4 2 8 b 6 8 7 11 6 3 10 Immediate Predecessor(s) E, F G, H K L, M The activities that represent the project's critical path are b) If the time to complete the activities on the critical path is normally distributed, then the probability that the critical path will be finished in 53 days or less = decimal places). c) Using the standard normal table, the…
- The project manager is working with his team in the planning stage for the construction of an industrial park. They are about to start with the network diagram. Which of the following items is NOT necessary for this process? A. Duration of activities B. Statement of project scope C. List of activities D. List of milestonesThe 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?A large Southeast city is requesting federal funding for a park-and-ride project. One of the requirements in the request application is a network plan for the design phase of the project. Sophie Kim, the chief engineer, wants you to develop a project network plan to meet this requirement. She has gathered the activity time estimates and their dependencies shown here. ID Description A Survey B Soils report с Traffic design D Lot layout E Approve design F G Drainage H Landscape I Signage J Illumination Bid proposal The project is expected to take The critical path is: Early start for Activity E is: Late finish for Activity F is: Slack for Activity C is: Predecessor None A A A B, C, D E E E E F, G, H, I Time (days) 9 22 25 6 76 20 24 24 25 9 days. day(s).
- 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: Dave's earliest start (ES) and earliest finish (EF) are: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 2 A Activity A F G H ES | FF 5 6 9 7 B B C. E D, FThe answer is not "0"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, C B $370 $120 C $200 E $150 F (end) $420 Suppose that Rafay is only given 9 weeks (instead of 11) 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) week(s) 3 2 5 2 3 Activity A E F F