In the following table the activities with their precedence sequence and expected time (days) are listed for a project on which Carl Betterton's construction company is working: Activity A B C D E F G H Immediate Predecessor(s) Time (days) 3 4 6 6 4 A A B B с D E, F The correct precedence diagram for the project is shown in 4 6 8 Figure 2 Figure 3 G
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- A Company wants to execute a project within 95 weeks. This project includes 10 activities (labeled A, B, ..., J), where their precedence relationships are shown in the following table: Predecessor Normal Crash Normal Cost Crash Cost Activity Activity Time(weeks) Time(weeks) (in million S) (in million S) A 32 28 160 180 В 28 25 125 146 C A 36 31 170 210 D B 16 13 60 72 E 32 27 135 160 B 54 47 215 257 D 17 15 90 96 H E,G 20 17 120 132 E,G 34 30 190 226 F.C 18 16 80 84 a) Draw the project network according to the previous table. (b)Find all possible paths and the corresponding lengths to finish the project. (c) Which is the critical path and what is its length? (d) Determine the least expensive way to crash activities to reduce overall duration to 95 weeks using Marginal cost analysis.Farihah is a project manager for a systems development project involving a new database application for her organization’s human resources department. Despite Farihah’s best efforts at estimating the time requirements for the project, the team has missed the deadline for completing the Analysis Phase and producing the System Proposal. Farihah had estimated during her 6-week Planning Phase that Analysis would require 2 months, but the team finished the System Proposal 2 weeks behind their planned target date. Based on her discussions with the team members, Farihah believes that the system is more complex than she originally thought. Should Farihah adjust her timeline, or can she try to make up for the lost two weeks? Farihah needs your advice.The MXN Sdn. Bhd. has identified eight activities that would need to be implemented in order to complete the construction project as listed in the table below. Using the PERT three-estimate approach, the company has obtained the estimated duration and the precedence relationships for each activity. In addition, the company may get penalized if it fails to complete the project within 35 weeks. Activity A B с D E F G H Immediate predecessor(s) None A A None B,C C,D Table 2: Project Description D, F E, G Optimistic 2 7 4 7 3 2 Time estimate (week) SKT AM X Most likely m 6 8 13 7 9 6 Pessimistic b 7 16 13 17 9 9 (a) Construct the activity on the node (AON) network for this project. (b) Compute the expected activity time and the variance for each activity. termine the forward and backward pass, activity slack, and identify the critical path. Estimate the probability that all the activities on the current critical path will be completed within 35 weeks. (e) Estimate the probability that the…
- PROJECT PLANNING & SCHEDULING WITH GANNT CHART Given the activities of a project; their optimistic (to), most likely (tm) and pessimistic(tp) time estimates; and their immediate predecessors shown below:1. When is the earliest project completion?2. Which activities are critical (should not be delayed)?3. Which activities are noncritical (can be delayed)?4. How long can each of the activities be delayed without delaying the wholeproject (maximum slack)? Activities Activity Times,months ImmediatePredecessors Maximum Slack,months A 2 - B 3 - C 2 A D 4 B E 4 C F 3 C G 5 D, E H 2 F, GB/U pe Activity A B D 11. A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $4,000 per week for every week the project exceeds 37 weeks. What is the lowest total cost for completing this project? Predecessor Time 18 11 A A B C E D Normal A H 12 15 3 19 Asbe de ABC' AMBBC RACE AB 7 8 12 6 Normal Cost Crash Time Crash Cost $22,000 $32,000 $62,000 $18,000 $35,000 $8,000 $23,000 $32,000 $56,000 $12,000 5 $18,000 19 $22,000 $9,000 $15,000 $5,000 $13,000 $20,000 $45,000 2 5 4What is the minimum cost of crashing the following project that Roger Solano manages at Slippery Rock University by 4 days? Normal Cost $800 $200 $600 $750 $1,200 Normal Crash Activity Time (days) Time (days) 4 3 8 6 The total cost of crashing the project by 4 days is $ ABCDE 487 355 (Enter your response as a whole number.) Total Cost with Crashing Immediate Predecessor(s) $1,500 $1,650 By how many days should each activity be crashed to reduce the project completion time by 4 days? Fill in the table below. (Enter your responses as whole numbers.) Each Activity Should be Reduced BY (days) Activity A B C D E $1,100 $600 $650 A C
- Colonial State College is considering building a new multipurpose athletic complex on campus. The complex would provide a new gymnasium for intercollegiate basketball games, expanded office space, classrooms, and intramural facilities. The following activities would have to be undertaken before construction can begin. Activity A B C D E F G H IMG_A2D52FAF8F3D-1.jpeg Activity This answer has not been graded yet. A B с (c) Develop the activity schedule for the project. D Survey building site Develop initial design Obtain board approval E F G Description H Select architect Establish budget Finalize design Obtain financing 0 Hire contractor L L | (a) Draw a project network. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen Immediate Predecessor Earliest Start (b) Identify the critical path. (Enter your answers as a comma-separated list.) 4 A, B с Latest Start с D, E E F, G Time (weeks) 5 5 9 Earliest Finish 13 4 7 15 11 6 9 Latest Finish 4 Slack (d) Does it appear…2:30 PM ě 0.3KB/s 1ll 54 4G+ 00:15:12 Remaining Multiple Choice The primary difference between PERT and CPM is that CPM uses probabilities on the activity times and PERT does not. O. PERT considers activity costs and CPM does not. PERT can assign probabilities to activity times and CPM does not. CPM considers activity costs and PERT does not. 5 of 20 IIThe table below contains data for the installation of new equipment in a manufacturing process for a steel corporation. Your company is responsible for the installation project. Indirect costs are $6,000 per week, and a penalty cost of $10,000 per week will be incurred by your company for every week the project is delayed beyond week 15. Activity Immediate Predecessor(s) Normal Time (weeks) Crash Time (weeks) Normal Cost ($) Crash Cost ($) A None 2 1 7,000 10,000 B None 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 H F, G 8 6 14,000 32,000 Construct a network diagram for the project. What are the project completion time and the total cost under normal conditions? What is the shortest time duration for this project regardless of cost? What is the resulting total cost? What is the…
- What is the minimum cost of crashing the following project that Roger Solano manages at Slippery Rock University by 4 days? Normal Crash Time Activity Time (days) (days) AB А C D E 67555 5 BCD w 55 с 4 2 Activity A E 3 Normal Cost $800 $300 $600 $750 $1,200 Immediate Total Cost with Crashing Predecessor(s) $1,100 $500 By how many days should each activity be crashed to reduce the project completion time by 4 days? Fill in the table below. (Enter your responses as whole numbers.) $650 $1,500 $1,650 - Each Activity Should be Reduced BY (days) A CColeman Rich Control Devices, Inc., produces custom-built relay devices for auto makers. The most recent project undertaken by Rich requires 14 different activities. Rich's managers would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table: Time (days) Immediate Time (days) Immediate Activity a m b Predecessor(s) Activity a m b Predecessor(s) A 4 7 8 — H 3 3 6 E, F B 1 2 3 — I 3 7 9 G, H C 7 7 7 A J 2 6 9 I D 6 9 13 A K 8 9…A company is willing to develop their rocket before the end of current financial year which is now 28 weeks away. The chief engineer of the company has decided to use PERT technique in order to plan, schedule and control program of development for the data given in table below. What is the probability that the program will be completed by the end of the current financial year? (all durations are in weeks). (i) G) Optimum Duration Most likely duration Pesimistic duration 1 2 3 8 13 3 2 8 4 3 8 10 4 7 10 3 6. 3 8 4 9 10 4 8. 4 9. 5 7 9. 12 6. 5 11 7 9. 14 8 4. 00 2.