Activity A (start) B C E F (end) (weeks) 2 2 4 1 2 Activity Precedes B, C E F F Suppose that Rafay is only given 6 weeks (instead of 8) 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. A Cost/Week $380 $120 $200 $150 $420 Each Activity Should be Reduced BY (weeks) week(s)
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- 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: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.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
- #3) Consider the following project, all durations are in days. Construct a precedence diagram, find the critical path and which tasks have slack and how much each has. Which tasks would you recommend crashing to reduce the project duration by six days assuming that it costs the same to crash each task and no task by be crashed to more than half its original duration and tasks A and N cannot be crashed at all? Task Predecessors Most Likely Duration A - 8 B A 12 C A 6 D A 12 E B 10 F E 7 G C 18 H C 13 I G 10 J H 13 K D 10 L K 11 M L 7 N F, I, J, M 4 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Gabrielle Kramer, owner of Pet Paradise, is opening a newstore in Columbus, Ohio. Her major concern is the hiringof a manager and several associates who are animal lovers.She also has to coordinate the renovation of a building thatwas previously owned by a chic clothing store. Kramer hasgathered the data shown in Table 7.14. a. How long is the project expected to take?b. Suppose that Kramer has a personal goal of completingthe project in 14 weeks. What is the probability that it willhappen this quickly?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…
- I need a detailed explanation and assistance to solve this problem: A company decides to plan a project, with activities, precedences and random duration statistics given in the following table: Activity Immediate Predecessors Duration Minimum (weeks) Duration Mode (weeks) Duration Maximum (weeks) A none 2 5 9 B A 1 6 8 C A 3 5 12 D B 2 4 12 E B, C 4 6 8 F B 6 7 8 G D, E 1 2 6 H F, G 4 6 16 * What method should be used? Compute the mean and variances for each activity and add them to the table above * Draw the project network and label the arcs with the activity name. * Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks. * Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.You have collected the data for a Time-Cost CPM Scheduling model analysis. The time is in days and the project "direct costs" are given below. Immediate Normal Crash Normal Crash Activity Predecessor Time Time Cost (Direct) Cost (Direct) A None 3 2 $300 $408 B A 3 3 $100 $100 C A 1 1 $200 $200 D B and C 3 2 $400 $550 E D 2 1 $500 $900 F E 3 3 $200 $200 G F 2 2 $200 $200 The indirect costs for the project are determined on a daily duration basis. If the project lasts 16 days the total indirect costs are $408, 15 days they will be $350, 14 days they will be $200, and 13 days they will be $100. If you crash this project by one day what is the total (i.e., direct and indirect) project cost?Consider a project that has been modeled as in Table 1 Draw the PERT/CPM network for this project and determine the project’s expected completion time µP and its critical path. 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 standard deviation of the overall project’s standard deviation σP . 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 for the completion time to beat (be shorter than)?
- Suppose that the following estimates of activity times (in weeks) were provided for the network shown below: Activity Optimistic Most Probable Pessimistic A 4 6 7 B 2.5 4 5 C 5 6 7 D 4 5 9 E 6.5 7.5 9 F 2 3.5 5 G 8 9 11 H 5 6 10 What is the probability that the project will be completed. If required, round your answers to four decimal places. Within 20 weeks?---------- Within 21.5 weeks?---------- Within 23 weeks?----------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 $50,000The 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.