Concept explainers
A.
Interpretation: Thepredecessors of every activity in the project are to be determined.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the workflow and is used to compute the total duration of the project.
B.
Interpretation: The critical path is to be identified by enumerating all the paths from node 1 to node 10 and computing the duration.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the workflow and is used to compute the total duration of the project.
C.
Interpretation: The critical path is to be identified by computing the earliest and the latest start and finish times.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the workflow and is used to compute the total duration of the project.
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Production and Operations Analysis, Seventh Edition
- A project consists of the activities in the following list. Times are given in weeks. Activity Preceding Time A -- 8 B -- 4 C A, B 7 D A, B 3 E C, D 5 F C, D 6 G E, F 4 Draw the project network diagram. Calculate each activity's ES, EF, LS, LF, and Slack using the project activity nodes on the project network diagram. What is the project completion time? Identify the critical patharrow_forward11-16 Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to prepare for her trip. The following table lists the activities and the immediate predecessors. Draw the network for this project. 11-17 The following are the activity times for the project in Problem 11-16. Find the earliest, latest, and slack times for each activity. Then find the critical path. These problems go together and are deterministic times.arrow_forwardConsider the following project network and activity times (in weeks): a. Identify the critical path. b. How much time will be needed to complete this project? c. Can activity D be delayed without delaying the entire project? If so, by how many weeks? d. Can activity C be delayed without delaying the entire project? If so, by how many weeks? e. What is the schedule for activity E?arrow_forward
- Consider the following project network. Activities are denoted with letters (A, B, C, D, E, F…) and activity completion times are in weeks. Determine the critical path.arrow_forwardConstruct a Gantt chart and project network for the following set of activities, compute the length of each path in the network, and indicate the critical path:arrow_forwardConsider the following project network. Assume that the time required (in weeks) for each activity is a predictable constant and that it is given by the number along the corresponding branch. Find the earliest time, latest time, and slack for each event. Also identify the critical path.arrow_forward
- A contractor needs to complete a project. The project involves 10 activities (labeled A, B, ..., J) with precedence relationship in network below. The estimate (in weeks) of the duration of each activityis in the table below. a. The mean and variance of the activity time for A~F are given in the table. Find the mean and variance of the activity time for the remaining arcs.b. Identify the critical path and then compute the mean and variance of the project completion time.c. What is the probability that the project is completed between 32 and 36 weeks?d. What completion time should the contractor claims to be 95% sure of completing the project by then?arrow_forwardBased on the given set of activities answer the following: 1. Develop a precedence for each of the activity based on the information provided in the case. 2. Draw a network diagram and also calculate the forward and the backward pass for each of the activities. 3. Identify the paths as well as the critical path for the given project and also determine the slack time for each activity. Note: This question is related to Project Management Course.arrow_forwardCanesta Company is working on a project with the following network: a) Determine the earliest and latest activity times and slack for each activity. b) Determine the duration of the project and the critical path.arrow_forward
- Construct this problem. Draw a network diagram, determine the early start, early finish, late start, late finish, and slack times for each activity (table), determine how long the project will take, and which activities are on the critical path.arrow_forwardA project consisting of eight activities satisfies the following precedence constraints: a. Construct a network for this project. (You should need only one pseudoactivity.)b. Compute the earliest and the latest starting and finishing times for each activity and identify the critical path.c. Draw a Gantt chart of the schedule for this project based on earliest starting times.arrow_forwardDraw the project network diagram using activity on node (AON) for the following schedule. Also determine and provide the critical path and duration for the critical path.arrow_forward
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