Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 10.3, Problem 10P
Summary Introduction
Interpretation: The optimal time to complete the project and the optimal project completion cost is to be computed, when the indirect costs amounts to $100 per day.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
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Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experience of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows:
Client
Project Leader
1
2
3
Jackson
10
16
32
Ellis
14
22
40
Smith
22
24
34
Formulate the problem as a linear program, and solve. What is the total time required?
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?
A small software development project at KrishnaDhir's firm has five major activities. The times are estimated andprovided in the following table. a) Find the expected completion time for this project.b) What variance value would be used to find probabilities of finishing by a certain time?
Chapter 10 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10P
Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.4 - Prob. 13PCh. 10.4 - Prob. 14PCh. 10.4 - Prob. 15PCh. 10.4 - Prob. 16PCh. 10.5 - Prob. 17PCh. 10.5 - Prob. 18PCh. 10.5 - Prob. 19PCh. 10.5 - Prob. 20PCh. 10.5 - Prob. 21PCh. 10.6 - Prob. 22PCh. 10.6 - Prob. 23PCh. 10.6 - Prob. 24PCh. 10.6 - Prob. 25PCh. 10 - Prob. 26APCh. 10 - Prob. 27APCh. 10 - Prob. 28APCh. 10 - Prob. 29APCh. 10 - Prob. 30AP
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- Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader–client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows. Find the optimal assignment of leaders to clients.arrow_forwardThe activities of a project, their normal and shortest completion times in days, their respective completion costs in euros, and the constraints on their execution sequence are presented in the table below. Questions: A) To build the network that graphically illustrates the project. B) To find the shortest and slowest start and end times. C) Find the critical path and calculate the total cost. D) To consider the case of reducing the total duration of the project by 1 day at the lowest possible cost.arrow_forwardA given task was estimated to cost $15,750 to complete. Currently, the project team has completed approximately 65% of the task, and have spent $10,500. a. Determine the indices: AC, PV, and EV b. Derive the values for cost and schedule variances, as well as cost performance and schedule performance indices. Is this project ahead or behind on schedule, and is it ahead or behind on budget?arrow_forward
- To complete the wing assembly for an experimental aircraft, Jim Gilbert has laid out the seven major activities involved. These activities have been labeled A through G in the following table, which also shows their estimated completion times (in weeks) and immediate predecessors. Determine the expected time and variance for each activity.arrow_forwardConsider the AON graph of a project shown in Figure 19.18.The activity times are 3, 4, 2, 5, 7, 2, 2, and 3 days for activities A1 through A8, respectively. What is the earliest completion time of the project?arrow_forwardUse the following network and the data to perform the following: a) Prepare the manpower loaded Gantt chart with total floats of this project using early start and late times. Plot the manpower resource profile that shows the total number of laborers per day over the course of the project. Prepare the Gantt chart and the resource profile using the early start and finish dates of activities (not necessary to produce the late start and finish charts). b) Level the manpower resource given the constraint that the owner has only 14 workers to allocate to this project per day. Please try to do in excel. Thannksarrow_forward
- The Cove at UP is looking to open a new location. Guillermo Santiago has been developing a project plan and has identified the following tasks, precedence relations, and normal task durations. \ tasks predecessors task duration start 0 A start 7 B A 20 C A 34 D B 39 E C,D 6 F D 15 G E,F 33 end G 0 Guillermo has studied project management at the University of Portland and knows that the starting and ending time of any task may be determined from the information in the table using the critical path method. Assume the following notation when answering the questions below: \ Metric Description ES Early start time for task EF Early finsh time for task LS Late start time for task LF Late finsh time for task TS Total slack for task FS Free slack for task IS Independent slack for task SS safety slack for task Please provide the CPM result for each of the following metrics: ES_{end} = LS_{D} = TS_{D} = EF_{G} = LF_{G} =arrow_forwardConsider the following table of activities A through E in which A is the start node and E is the stop node. Assume all activities require the same resource. On a piece of scratch paper, draw the early-start Gantt Chart associated with this table and determine the following. Assume the project is resource-constrained but not time-constrained. Assume only one resource is available and that resource can only do one activity at a time. Activities B, C and D all have the same early start date (time). Since there is only one resource, only one of the activities B, C, D can be started on the early start date. Which should be started first?arrow_forwardThe activities in the Jaffar Brothers project are as: Activity Immediate Predecessors Time (Weeks) A - 5 B - 2 C A 3 D A,B 4 E C 4 F C 2 G D,E 5 H F,G 3 Draw the AON network for Jaffar Brothers Draw the complete AOA project network for Jaffar Brother’s problem Calculate the earliest start and finish timesarrow_forward
- A local political campaign must coordinate a number of necessary activities to be prepared for an upcoming election. The following table describes the relationships between these activities that need to be completed, as well as their completion times. Activity Immediate Predecessors Time (weeks) A - 3 B - 6 C A 2 D A 3 E B, C 7 F B 6 G D, E 1 H F 1 a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time? d) Submit your excel filearrow_forwardA local political campaign must coordinate a number of necessary activities to be prepared for an upcoming election. The following table describes the relationships between these activities that need to be completed, as well as their completion times. Activity Immediate Predecessors Time (weeks) A - 3 B - 6 C A 2 D A 3 E B, C 7 F B 6 G D, E 1 H F 1 a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time?arrow_forwardIf the estimated time of each wall/ceiling activity is two weeks, the estimated time of each flooring activity is one week, and the estimated time of each exterior activity is three weeks, fill out the Immediate Predecessor/s column in the table below and draw the Gannt Chart corresponding to this project.arrow_forward
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