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(a) Draw an Activity-on-Arrow (AOA) network diagram representing the project. Put the node numbers in circles and draw arrow from node to node, labeling each arrow with the activity letter and determine time.
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- 9. A project has the following activities, with specified precedents, expected durations (in days), and crash cost/day. Each activity can be crashed to a minimum duration of 1 day. (This is the same network as a previous problem.) What is the minimum total cost to shorten the project by 2 days? Round your answers to 2 decimals. Activity Precedent Duration Crash cost/day A - 3 $350 B A 3.8 $250 C A 6 $400 D B 6 $150 E B 4.1 $200 F C 4 $275 G D 6.2 $500 H E 8 $300 Answer:The Laurenster Corporation needs to set up an as-sembly line to produce a new product. The fol-lowing table describes the relationships among the activities that need to be completed for this productto be manufactured. (a) Develop a project network for this problem.(b) Determine the expected duration and variancefor each activity.A group of developers is building a new shopping center. A consultant for the developers has developedthe following table of activities, durations and predecessors. Determine the earliest start times andfinish times, latest start and finish times, activity slack, critical path and duration for the project. Thereis a Bonus for finishing the project at 90% of the projected date. The bonus for early completion is$50,000. Which activities should be crashed, if the cost for 1 week reduction, for any activity, is $3500per week, and what is the total cost of crashing? And, Net Bonus, if any.
- Following are the activities of a project: Activity time in weeks Immediate Most Most MostActivity Precedence Optimistic Likely PessimisticA None 4 7 13B A 6 9 11C A 5 7 09D B 3 5 07E C 7 8 10F D 2 3 05G E 6 7 08H F&G…1. Construct a network for this problem.2. Determine the expected time and variance for each activity.3. Determine ES. EF. IS. LE and slack for each activity.4. Determine the critical path and project completion time.5. Determine the probability that the project will be finished in 70 days or less.6. Determine the probability that the project will be finished in 80 days or less.7. Determine the probability that the project will be finished in 90 days or less.I need a detailed explanation and assistance to solve the this problem: A company decides to plan a project, with activities, precedences and deterministic durations given in the following table: Activity i Duration (days) Immediate Predecessors A 32 none B 21 none C 30 none D 45 A E 26 A, B F 28 C G 20 E, F a) What method should be used? Using only one pseudo-activity, draw the project network, with arcs labeled by the activity name and duration. b) Compute and display in a table the earliest and latest starting and finishing times, as well as slack, for each activity, and identify the critical path(s). C) Draw a Gantt chart of the schedule, based on earliest starting times d) Which activities must be completed by day 60 to ensure that the project is not delayed?
- The estimated times and immediate predecessors for the activities in a project a t George Kyparis's retinal scanning company are given in the following table. Assume that the activitytimes 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 in the network?c) What is the variance of the critical path? Wha t is the variance 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 fini shed in 22 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 in 22 weeks or less?f) Explain why the probability that the critical path will be finished in 22 weeks or…The Virginia Department of Transportation is undertaking aconstruction project to widen a large section of interstate, highway near Washington, DC, which includes the construc-tion of a number of new bridges, interchanges, and over-passes. The first step in the project is the appointment of a project manger and the development of a project team, someof which will be departmental employees and others will beprivate consultants and operatives. The team for a project thissize also requires a large support staff with varying technicalskills. Once the team is selected and the staff is in place the first task is to select a primary contractor to manage and over-see the actual construction. The following activities are stan-dard for the planning and scheduling of this process: Construct the CPM/PERT network for this project and de-termine the project schedule. Identify the critical path and determine the expected project duration time and variance.Determine the probability that the team and…2. A small software development project at Krishna Dhir's firm has five major activities. The times (in days) are estimated and provided in the table below: Activity Immediate Predecessor a m b A − 2 5 8 B − 3 6 9 C A 4 7 10 D B 2 5 14 E C 3 3 3 a) The expected completion time for this project is ___ days (enter your response as a whole number). b) The project variance of completion time is ___ days (enter your response as a whole number). c) The probability that this projectbe can be completed in 17 days or less is ____ (keep two decimal places). d) The probability that it will take more than 17 days to complete this projectbe is __ (keep two decimal places). e) The due date that yields a 98% chance of completion is ____ days (keep two decimal places).
- 2. The following table lists the activities of a network along with their time estimates: Activity Predecessor Duration (Days) Optimistic (a) Most Likely (m) Pessimistic (b) A None 2 5 8 B None 4 7 16 C A 3 6 9 D A 2 5 8 E C 5 8 11 F D 3 6 15 G B 2 5 14 H E, F 2 5 8 I G 6 9 12 J H, I 0 0 0 (a) Draw the project network. Use activity on node (A-O-N) method. (b) Identify the Critical Path. Calculate the length and variance of the Critical Path. (c) Identify the non-critical activities. Work out the Total Slack (TS) and Free Slack (FS) for all the non-critical activities. (d) State whether the network is sensitive or insensitive! (e) What is the approximate probability that jobs on the critical path will be completed by the due date of (i)24 days, (ii) 29 days?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.Critically assess and comment on the success of the project from the followingviewpoints aline with a project To enhance Sports development by providing assistance to sports clubs and teams in St. Catherine North Central by providing them with the necessary gears and equipment for whichever Sporting disciple that they may part-take in. a. Level or degree of alignment of end results and outcomes to the organization’sstrategic goals.b. Level of success in the management of the triple constraints of time, cost, andscope.