Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- Project Management i 42:20 C aw The network diagram and task times for a project are shown below. Task A₁ A₂ A₁ A₂ Late finish time A3 Duration (days) 66314 A3 A₁ A5 What is the late finish time for activity A₁? A4 4 days Saved Asarrow_forwardReliable Garage is completing production of the J2000 kit car. The following data are available for the project: Activity Time (days) 4 a. Choose the correct network diagram below for this project. A. C. A 4 S B 4 SH A 4 E 3 F 2 G 4 D H 5 F G Activity ABCDEFGH ABCDEFI с NA G 4 H 2 11 3 UAN с b. Determine the project's critical path and duration. The critical path is A-B-C-D-H and the project duration is 26 day(s). (Enter your response as a whole number.) c. What is the slack for each activity? 2 Activity 4 5 Immediate Predecessor(s) B. D. Activity Time (days) 4 4 2 11 3 2 4 5 S A Slack (days) oooooooo A B F D, E, G 5 F Garrow_forward2. Three activities are candidates for crashing on a CPM network. Activity details are in the table below. Activity Normal Time Normal Cost Crash Duration Crash Cost A 9 days $8,000 7 days $12,000 B 5 days $2,000 3 days $10,000 с 12 days $9,000 11 days $12,000 a. What is the crash cost per unit time for activity A? b. What is the crash cost per unit time for activity B? c. Which activity should be crashed first to cut one day from the project's duration; how much is added to project cost? d. Which activity should be the next activity crashed to cut a second day from the project's duration; how much is added to project cost? e. Assuming no other paths become critical, how much can this project be shortened at what total added cost?arrow_forward
- 2. The time estimates (in weeks) for the activities of a PERT network are given below. (i) (ii) 1-2 1-3 1-4 2-5 3-5 4-6 5-6 18 9 10 8 16 7 Activity to 24 16 3 tm 7 9 20 14 2 tp 9 20 11 11 28 18 4 Draw the project network and calculate the project length. Calculate the standard deviation and variance along the critical path. (iii) Find the probability of completing the project one day earlier and 2 days later.arrow_forwardB indicate critical path C what is expected completion for the project? D what is the probability that the project will take more than 30 days to complete?arrow_forwardExercise #1 Time data for the below AON project network are given in the following table. E Duration Activity ESD EFD LSD LFD FF TF (in days) A 2 B 10 15 D 5 E 3 F 9 5 H 6 K 4 a. For each activity, calculate: ESD, EFD, LSD, LFD, FF, and TF. (Report your answers in the table above) b. Find the critical path(s), and the project duration.arrow_forward
- Given the information below, what are the estimated expected (mean) times (in weeks) for activities A-H? What are the estimated standard deviations (in weeks) in the times for activities A-H?arrow_forward4 01:34:47 The network diagram and task times for a project are shown below. A₁ A2 Late start time A3 Task A₁ A₂ A3 A₁ A5 What is the late start time for activity A3 ? Duration (days) 7 6644 A4 days A5arrow_forwardDoug 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:arrow_forward
- Dave the critical path should also be determined. Here are the activity times 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 an Dave's earliest start (ES) and earliest finish (EF) are Time Activity (weeks) A B С D 6 7 3 3 Immediate Predecessor(s) Activity (weeks) Time A A E F G H Activity ES A 4 7 10 EF 6 Immediate Predecessors B CE DFarrow_forwardSub:Engineering Managementarrow_forward12:23 Ill 5G Problem 1 The following table gives expected times and variances for a probabilistic duration type of project (we are not given and we don't need the optimistic, most likely, and pessimistic time estimates). Activity Expected Time Variance A 4 0.44 B 3 0.69 C 7 2.25 D 11 2.25 E 4 0.11 F 9 1.36 G 6 0.44 H 6 0.69 I 7 1.36 J 13 1.00 K 3 0.44arrow_forward
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