and what is the crash time? The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations,what activities each must precede and the crash cost to reduce duration per week:ActivityA (start)BCEF (end)Duration(weeks)22513ActivityPrecedesB, CEFFASuppose that Rafay is only given 7 weeks (instead of 10) to complete the project. By how many weeks should eachactivity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration.Each ActivityShould be ReducedBY(weeks)CrashCost/Weekweek(s)$380$110$200$150$420ncorre

Project crashing is a process which helps to reduce the total duration using additional costs.…

The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity A (start) B C E F (end) Duration (weeks) 2 2 5 1 3 Activity A Precedes B, C EFF Suppose that Rafay is only given 7 weeks (instead of 10) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) Crash Cost/Week week(s) $380 $110 $200 $150 $420

The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity A (start) B C E F (end) Duration (weeks) 2 2 5 1 3 Activity A Precedes B, C EFF Suppose that Rafay is only given 7 weeks (instead of 10) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) Crash Cost/Week week(s) $380 $110 $200 $150 $420

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...

See similar textbooks

Similar questions

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.
The estimated times and immediate predecessors for the activities in a project a t George Kyparis's retinal scanning company are given in the following table. Assume that the activitytimes 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 in the network?c) What is the variance of the critical path? Wha t is the variance 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 fini shed in 22 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 in 22 weeks or less?f) Explain why the probability that the critical path will be finished in 22 weeks or…
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?
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…
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.
The estimated times and immediate predecessors for the activities in a project at Howard Umrah's retinal scanning company are given in the following table. Assume that the activity times are independent. Time (weeks) Immediate Time (weeks) Immediate Activity a m b Predecessor(s) Activity a m b Predecessor(s) A 8 10 13 — C 9 10 13 A B 4 10 16 — D 6 8 12 B This exercise contains only parts a, b, c, and d. a) Based on the activity time estimates, the expected times and variance for each of the activities are (round your response to two decimal places): Activity Expected Time Variance A _________ ___________ B ______________ __________…
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?
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 6 - E 5 BB 8 - F 6 BC 2 A G 9 C, ED 3 A H 7 D , F Dave's earilest start (ES) and earliest finish (EF) are: Activity ES EF A 0 6 B 0 ? C D E F G H
Consider a project that has been modeled as in the table below: a. Draw the PERT/CPM network for this project and determine the project’sexpected completion time μP and its critical path. b. Suppose the standard deviations of the activity durations are σA = 2,σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standarddeviation of the overall project’s standard deviation σP . c. Suppose for the standard Normal random variable Z, we know P[−1 ≤Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then,approximately what time T is one for which there is only a less than 2.5% chance forthe completion time to beat (be shorter than)? *Please solve a-c and neatly write or type your answers, showing your steps, NO EXCEL*
9. A project has the following activities, with specified precedents, expected durations (in days), and crash cost/day. Each activity can be crashed to a minimum duration of 1 day. (This is the same network as a previous problem.) What is the minimum total cost to shorten the project by 2 days? Round your answers to 2 decimals. Activity Precedent Duration Crash cost/day A - 3 $350 B A 3.8 $250 C A 6 $400 D B 6 $150 E B 4.1 $200 F C 4 $275 G D 6.2 $500 H E 8 $300 Answer:
I need assistance with the following questions in: Project Scheduling. This is a follow up to a question answered earlier. Question 1) was answered. 1) 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 2) The company decided that the project in the previous problem has to be expedited in order to optimize (minimize) the project cost. Expediting can be used to trade direct cost for indirect cost, since expediting the project reduces the indirect cost of the project by a fixed amount per day, while expediting an activity increases its total direct cost. The Accounting Department found that indirect costs amount to $100 per day, while activity direct costs as well as their normal and expedited times are given in the table below.…
A project has the activity duration and cost information indicated in the table where all times are in weeks. What is the total cost for completing this project in 50 days? Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost A -- 8 $12,000 5 $21,000 B A 12 $20,000 9 $30,000 C A 15 $24,000 10 $60,000 D B 3 $10,000 2 $15,000 E C 9 $17,000 6 $34,000 F E 7 $5,000 6 $6,000 G D 8 $14,000 6 $20,000 H A 12 $22,000 10 $30,000 I H 6 $50,000 5 $55,000 J F, G, I 11 $33,000 9 $50,000