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- Given the following project: Activity Predecessor Normal Time (day) Normal Cost ($) Crash Time (day) Crash Cost ($) A - 4 800 2 1300 B - 10 1200 7 2400 C A 6 1100 4 1700 D A,B 7 1000 4 1600 E C 10 2000 8 3000 F C,D 5 900 - - (a) Draw the network and find the critical path duration of the project, total cost of project using normal times. (b) Calculate the maximum time reduction and crash cost-per-day (all activities may be partially crashed) for each activity. Then fill the table below. (Note: Activity “F” cannot be crashed) Activity Maximum Time Reduction (day) Cost to Crash per Period ($/day) A B C D E F (c) Find the optimal way of getting a 20-day delivery time. What is the project cost? (d) Find the optimal way of getting a 18-day delivery time. What is the project cost?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 following estimates of activity times (in days) are available for a small project: Activity Optimistic Most Probable Pessimistic A 4 5.0 6 B 8 9.0 10 C 7 7.5 11 D 7 9.0 10 E 6 7.0 9 F 5 6.0 7 Compute the expected activity completion times and the variance for each activity. An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path.
- Consider the following data (ETB and days). Draw activity network of the project. Crash the activities step by step until all paths are critical. Activity Normal Time Normal Cost Crash Time Crash Cost 1-2 20 600 17 720 1-3 25 200 25 200 2-3 10 300 8 440 2-4 12 400 6 700 3-4 5 300 2 420 4-5 10 300 5 600 4-6 5 600 3 900 5-7 10 500 5 800 6-7 8 400 3 700The following table describes project XYZ Duration Predecessor Variance A 5 2 B 3 A 1 C 13 A 6 D 18 B 2 E 10 B 4 F 4 D, E 1 G 11 C, E 5 H 9 F, G 2 I 2 H 1 Based on the information provided, perform the following tasks: Identify the crucial path and project duration Calculate probability that the project in going to be completed after the day 45Doug Casey is in charge of planning and coordinating next spring’s sales management training program for his company. Doug listed the following activity information for this project: A. Draw a project network. B. What are the critical activities and what is the expected project completion time? C. If Doug wants a 0.99 probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project?
- 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.You are provided with the following information for a project, with activity durations given in weeks: Activity Immediate Optimistic Most Likely Pessimistic Predecessor Time (a) Time (m) Time (b) A ____ 2 3 4 B ____ 2 4 6 C A 1 2 3 D B 3 6 9 E C, D 7 8 9 F D 4 7 10 G E 3 4 5 H E, F…The following estimates of activity times (in days) are available for a small project: Activity Optimistic Most Probable Pessimistic A 4 5.0 6 B 8 9.0 10 C 7 7.5 11 D 7 9.0 10 E 6 7.0 9 F 5 6.0 7 An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path. What is the probability the project will be completed in 25 days?
- Please assist in detailed explanation on the following question in Project Scheduling: 1) - A company decides to plan a project, with activities, precedence 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 Questions: 1.1) What method should be used? Using only one pseudo-activity, draw the project network, with arcs labeled by the activity name and duration. 1.2) 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). 1.3) Draw a Gantt chart of the schedule, based on earliest starting times 1.4) Which activities must be completed by day 60 to ensure that the project is not delayed?2) Following is a table listing the project activities, sequencing requirements and other relevant information: Expected Time Direct Cost Activity Preceded By Regular Crash Regular Crash A -- 6 days 2 day $2000 $3800 B -- 12 6 2000 10000 C A 4 2 1000 4000 D B, C 10 6 3400 4600 E D 8 6 2800 3900 F E 6 2 5000 7600 G B, C 18 8 16000 19600 H F, G 6 4 2000 4000 (a) Construct a network including the Early and Late Start and Finish times. (b) Identify the normal Critical Path(s) and the normal expected completion time (c) Can the project be crashed to last 18 days? Which activities should be crashed and at what additional cost?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.
