7.5 A product development project is planned to contain the activities shown in the table below, along with their required completion times and precedence. (a) Draw the CPM network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. Activity 1 3 4 4 2 2 5 6 8 9 10 Activity time (weeks) 2 7 4 3 Immediate predecessor 1 2,3 3 4 5,6 7,8,9

7.5 A product development project is planned to contain the activities shown in the table below, along with their required completion times and precedence. (a) Draw the CPM network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. Activity 1 3 4 4 2 2 5 6 8 9 10 Activity time (weeks) 2 7 4 3 Immediate predecessor 1 2,3 3 4 5,6 7,8,9

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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?
11-15 A marketing firm is developing a new Web-based media campaign for a client. The following table describes the relationships among the activities that need to be completed. ACTIVITY IMMEDIATE PREDECESSORS TIME (DAYS) A — 4 B A 6 C B 12 D B 11 E D 9 F D 8 G D 10 H C 5 I C 7 J E, F, G 4 K H, I 9 a. Develop a project network for this problem. b. Determine the ES, EF, LS, LF, and slack time for each activity. Also determine the total project completion time and the critical path(s).
Construct an activity network diagram using Table 3a. Activity A B C D E F G Predecessors - - A A,B D C,E E Expected Time(WKS) 7 9 12 8 9 6 5 Table 3a Activity Durations and relationship Conduct a forward and backwards pass for the activity network diagram that you have constructed and identify the critical path and its duration. Calculate the slack on all of the activities, and proceed to analyze how knowing the slacks can help to manage schedule risk the a project 3b. Assuming that there is the risk of exceeding the project schedule baseline for 7 weeks, critically evaluates the options available that could be used to bring the project on track
3.1 Draw an Activity-On-Arrow (AOA) network diagram representing the project. Put the nodenumbers in circles and draw arrows from node to node, labelling each arrow with theactivity letter and estimated duration. 3.2 Identify all the paths on the network diagram and note how long they are. 3.3 What is the critical path for this project and how long is it? 3.4 What is the shortest possible time needed to complete the project?
9.2. Construct a Gantt chart for the project described by the following set of activities, and indicate the project completion time and the available slack for each activity:Activity Activity Predecessor Time (Weeks)1 — 32 — 73 1 24 2 55 2 66 4 17 5 4 Present a Gantt Chart that shows the timeline from start to end. This calls for drawing an A-O-N network diagram using the information given in the Table. Present a Table of Activity versus Slack (wks) and state which specific activities are on the Critical path.
A Project has been defined to contain the following list of activities along with their required times for completion Table 2 Task Task Name Duration (weeks) Predecessors 1 Collect Requirements 4 2 Analyze processes 2 1 3 Analyze data 2 2 4 Design Process 6 2 5 Design Data 3 3 6 Design Screens 2 3,4 7 Design Reports 4 4,5 8 Code 5 6,7 9 Test and Document 7 7 10 Deploy 2 8,9 11 Project Review 2 10 a) Manually draw a network diagram to represent the activities shown in Table 2 b) How many weeks does it take to complete the project? c) What tasks are part of the critical path?
8. 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: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A 7 − E 4 B B 6 − F 5 B C 4 A G 11 C, E D 2 A H 8 D , F Part 2 Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A ___ 7 Activity ES EF B ____ Activity ES EF C _____ Activity ES EF D ___ Activity ES EF E ___ Activity ES EF F __ Activity ES EF G ____…
A project has these activities, precedence relationships, and activity durations: Activity Immediate Predecessor Activity Activity Duration (Week)a * 3b * 4c * 3d c 12e b 5f a 7g e,f 3 a. Draw a CPM network for the project. b. Provide an overview for the project by computing the duration for each path. c. What is the critical path? What is the project's estimated duration?
A public accounting firm requires the following activities a. Draw a network for this project.b. Make a forward pass and a backward pass to determine ES, LS, EF, and LF.c. What are the critical path and the project completion time?d. If the project completion must be reduced by twodays, which activities might be affected?
A plumber has decided to use the techniques of project management in order to plan a job. He knew all the different activities of the job, their precedence and their average durations. They are shown on the table below.ActivityDuration (days)Preceding activitiesA3NoneB3NoneC4AD9AE4B and CRequired:1. Draw a network diagram representing the sequence of activities and the dependence between them.2. Determine how long it will take to complete the job by conducting the forward pass3. By conducting the backward pass, identify the critical path and the non-critical path(s).Note:The work for this task should be produced using Word drawing facilities. The forward and backward passes should be clearly shown on the diagram. The calculations should be shown next to the network diagram.
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.
DO THE FOLLOWING:1. Draw a network diagram representing the project. Put the node numbers in circles and draw arrowsfrom node to node, labelling each arrow with the activity letter and estimated time.2. Identify all the paths on the network diagram and note how long they are.3. What is the critical path for this project and how long is it?4. What is the shortest possible time needed to complete this project?