Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architectand subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Davison projectmanager prepared the following project network.HStartAFinishEEstimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.ActivityOptimisticMost ProbablePessimisticA4.812В6.81218D35718817G101520H513(a) Find the critical path. (Enter your answers as a comma-separated list.)(b) What is the expected project completion time (in weeks)?weeks(c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by theowner? (You may need to use the appropriate technology to answer this question. Round your answer to four decimal places.)(d) Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 55weeks for this calculation. (You may need to use the appropriate technology to answer this question. Round your answer to fourdecimal places.)(e) What should the construction company tell the owner? (Enter your free-form answer using as many characters as necessary.)

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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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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.
Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Mueller project manager prepared the following project network. Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. Activity Optimistic Most Probable Pessimistic A 4 8 12 B 6 7 8 C 6 12 18 D 3 5 7 E 6 9 18 F 5 8 17 G 10 15 20 H 5 6 13 Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 55 weeks for this calculation. (Round your answer to four decimal places.)
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?
Doug 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?
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?
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…
Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 45-week completion date requested by the owner. The Mueller project manager prepared the following project network. A project network with 10 activities and 14 directed arcs is shown. Activity Start is connected to activity A. Activity A is connected to activity B, to activity C, and to activity D. Activity B is connected to activity F. Activity C is connected to activity E and to activity F. Activity D is connected to activity E. Activity E is connected to activity G and to activity Finish. Activity F is connected to activity G and to activity H. Activity G is connected to activity H. Activity H is connected to activity Finish. Activity Finish has no arcs directed to other activities. Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as…
Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 43-week completion date requested by the owner. The Mueller project manager prepared the following project network. A project network with 10 activities and 14 directed arcs is shown. Activity Start is connected to activity A. Activity A is connected to activity B, to activity C, and to activity D. Activity B is connected to activity F. Activity C is connected to activity E and to activity F. Activity D is connected to activity E. Activity E is connected to activity G and to activity Finish. Activity F is connected to activity G and to activity H. Activity G is connected to activity H. Activity H is connected to activity Finish. Activity Finish has no arcs directed to other activities. Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as…
Jabez Contractors installs network routers. Using the CPM method and in reference to the table provided comment on the expected completion time of the projectand identify the activities that neeD to be prioritised by the project manager. (Nodiagram is required) TABLE- PROJECT INSTALLATION Activity Predecessor optimistic Most Likely Pessismistic Estimated time A - 4 7 10 7 B - 2 9 10 8 C A,B 2 5 8 5 D C 16 19 28 20 E C 6 9 24 11 F E 1 7 13 7 G C 4 10 28 12 H D,F 2 5 14 6 I G 5 8 17 9 J H,I 2 5 8 5
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.
11-16 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.
A Company is in the process of preparing a budget for launching a new product. The following table provides the associated activities and their durations. Construct the project network and identify the critical path and its duration. Activity Predecessors Duration(wks) A: forecast sales volume - 10 B: study competitive market - 7 C: design item and facilities A 5 D: prepare production schedule C 3 E: estimate cost of production D 2 F: set sales price B,E 1 G: prepare budget E,F 14 (4) A project consists of the following activities, with the duration, in weeks, of each activity given in brackets. A(6), B(4) and C(7), the first activities of the project, can be executed concurrently. A and B precede D(2). B precedes E(1), F(5) and H(8). F and C precede G(3). E and H precede I(2) and J(4). C, F and J precede K(2). K precedes L(4).D, I, G and L are the terminating activities if the project. Construct the precedence table, and hence draw the network for the project Determine the critical…

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