Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Given the following activity network: Three nodes - A1, A2, A3; two paths - A1, A2 and A1, A3. Activity A1 takes 5 weeks, A2 takes 7 weeks, and A3 takes 4 weeks with a 50% probability and 10 weeks with a 50% probability. What is the project completion time under the worst-case scenario, that is, A3 is late and takes 10 weeks? A. 15 B. 10 C. 12 D. 9
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Relevant information for a project consisting of activities A, B, ..., K is provided in the table below and the project network is provided. Activity Time in Weeks Immediate Predessors A 2 ΝΑ B C D E F G H I J K 7 7 6 2 2 7 7 2 6 5 The project network is: ΝΑ A, B C с E C D, F, G D, F H I, J What is the minimum number of weeks that the project can be completed in (i e. the duration of the critical path)?arrow_forwardThe 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.arrow_forwardGiven in the table below is the project information consisting of the activities, predecessors, and duration:arrow_forward
- Development of Version 2.0 of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table: Activity A BCDEFG Normal Time Crash Time Normal (weeks) Cost $2,100 Total Cost with Immediate Crashing Predecessor(s) 4 $2,800 $2,200 $2,900 $750 $750 $2,500 $2,820 $1,000 $1,300 $3,200 $4,700 $1,400 $1,900 2 3 8 6 3 4 (weeks) 3 1 34 4 322 a) Based on the given information regarding the activities for the project, the project length = b) The total cost required for completing this project on normal time = $ weeks. c) For reducing the duration of the project by one week, the activity that should be crashed first is activity The cost of the project based on the first activity selected for crashing will increase by $ d) The maximum weeks by which the project can be reduced by crashing = Total cost of crashing the project to minimum (or maximum weeks…arrow_forwardSwimming Pool Installation: You are the project manager working for Mack's Pool Co. Your project consists of installing a new swimming pool at the local country club before Memorial Day weekend (pool opening weekend). You would like to find the minimum cost schedule for your project. There is a $9,000 per week penalty for each week the project is delayed beyond week 9. In addition, your project team determined that indirect costs are $15,000 per week. ACTIVITY Immediate Predecessor (s) NORMAL TIME (NT) CRASH TIME (CT) Normal Cost (NC) Crash Cost (CC) A -- 2 1 7,000 10,000 B -- 2 2 3,000 3,000 C A 3 1 12,000 40,000 D B 3 2 12,000 28,000 E C 1 1 8,000 8,000 F D, E 5 3 5,000 15,000 G E 3 2 9,000 18,000 Before crashing, the project duration is _________ week(s). The total cost of the project if we do nothing is $ __________ (round to the nearest dollar). The minimum cost…arrow_forwardWhat precisely does the critical route approach achieve, however, and why is it such a vital part of project scheduling?arrow_forward
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- Below is a network diagram that represents a university revamp project. The project manager analyzes this project using the critical path (CP) method. Activity durations are indicated on the networkarrow_forwardA project has 7 activities P, Q, R, S, T, U, and V. Three time estimates (optimistic, most-likely, pessimistic) are used for each activity. Write down your answers to all parts of the question in the box given below. Give your answer to 3 decimal places. (Note (a) has of 2 parts and (b) has of 3 parts) For activity Q, these time estimates are as follows: optimistic time = 9, most-likely time = 14, pessimistic time = 20. Write down the average activity time for Q the variance of activity time for Q. The critical path of this project has a mean project time of 44 days and a standard deviation of 5 days. Assume project completion time is normally distributed. Find the probability that the project will be completed in 47 days. Find the probability that the project will take more than 40 days. We want to set a deadline for this project completion. If the probability of meeting this set deadline is 0.88, what will be the deadline for this project.arrow_forward2. A small software development project at Krishna Dhir's firm has five major activities. The times (in days) are estimated and provided in the table below: Activity Immediate Predecessor a m b A − 2 5 8 B − 3 6 9 C A 4 7 10 D B 2 5 14 E C 3 3 3 Part 2 d) The probability that it will take more than 17 days to complete this projectbe is __ (keep two decimal places). e) The due date that yields a 98% chance of completion is ____ days (keep two decimal places).arrow_forward
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