B. What is the expected project completion time? 7 weeks 8 weeks 9 weeks 6 weeks C. Which are the critical activities? A, B, C, F, G and I A, B,C, G and I A, B, C, D, E, F and I A, B, C,D, F, G and I
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B. What is the expected project completion time?
7 weeks
8 weeks
9 weeks
6 weeks
C. Which are the critical activities?
A, B, C, F, G and I
A, B,C, G and I
A, B, C, D, E, F and I
A, B, C,D, F, G and I
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- CASE : PRIORITY RULES AT TRYTECH LIMITEDBrillian Carkenea , managing partner at a Trytech consulting firm, has requested your expertadvice in devising the best schedule for the following consulting projects, starting on July 2.Description of Consultation Call Received Due Date(close of business)Task Length(Days)Company Date TimeI 8 Mitville July 1 8:00 AM July 10II 4 Pointech July 1 9:00 AM July 8III 2 Letwork July 1 10:00 AM July 9IV 5 Chem Services July 1 11:00 AM July 15V 1 Zap Research July 1 1:00 PM July 7VI 6 Select Pro July 1 2:00 PM July 14VII 3 Opher & Sons July 1 3:00 PM July 6VIII 7 Azolph Group July 1 4:00 PM July 12The consulting firm charges a flat rate of $5,000 per day (e.g. If the length of a consultancy = 9days, the fee charged to that company = $45,000 ($5,000 x 9). All eight firms impose fines forlateness. Mitville charges a $375-per-day fine for each day that the completion of the consultingwork is past the due date; Pointech charges a fine of $400-per-day for…Task 4The incidence of rust attack along a gas pipeline can be modeled as a Poisson process withintensity λ per kilometer. This means that the number of rust attacks per kilometer along the pipeline canassumed to be Poisson distributed with expected value λ.Assume initially that it is known that λ = 5.The distance between two subsequent rust attacks is exponentially distributed with parameter λ (the distancebetween subsequent events in a Poisson process is exponentially distributed), and we still assumethat λ = 5 per kilometer.b) What is the expected distance between two successive rust attacks?What is the probability that the distance between two consecutive rust attacks is more than 200meters?What is the probability that the distance between two successive rust attacks is less than300 meters?What is the probability that the distance between two consecutive rust attacks is between 200and 300 meters?Prepare and run the LP to solve this problem were 1 if partner i is assigned to client j, 0 otherwise
- a. Determine the optimal sequence. b. Determine the completion time.The following schedule was prepared by the production manager of Marymount Metal Shop:Determine a schedule that will result in earliest completion of all jobs on this list.CUTTING POLISHINGJob Start Finish Start FinishA 0 2 2 5B 2 6 6 9C 6 11 11 13D 11 15 15 20E 15 17 20 23F 17 20 23 24G 20 21 24 28PROJECT PLANNING & SCHEDULING WITH PERT/CPM Given the activities of a project; their optimistic (to), most likely (tm) and pessimistic (tp) time estimates (te); and their immediate predecessors shown below:1. Which activities are noncritical (can be delayed)?2. How long can each of the activities be delayed without delaying the whole project (maximum slack)? Activities ImmediatePredecessors Activity Times (to) Activity Times (tm) Activity Times (tp) Activity Times (te) Maximum Slack,months A - 1 4 13 B A 4 7 16 C A 2 2 2 D C 4 6 14 E - 1 3 5 F E 3 5 13 G - 7 10 13 H G 6 7 14 I B, D 1 1 1 J F, H, I 13 16 25
- PROJECT PLANNING & SCHEDULING WITH PERT/CPM Given the activities of a project; their optimistic (to), most likely (tm) and pessimistic (tp) time estimates (te); 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 ImmediatePredecessors Activity Times (to) Activity Times (tm) Activity Times (tp) Activity Times (te) Maximum Slack,months A - 1 4 13 B A 4 7 16 C A 2 2 2 D C 4 6 14 E - 1 3 5 F E 3 5 13 G - 7 10 13 H G 6 7 14 I B, D 1 1 1 J F, H, I 13 16 25#2) An office complex is to be renovated. Before the job can be completed, various tradespeople and skilled workers must install their materials. The table for this problem describes the relationships between the activities that need to be completed. Activity Immediate Predecessors Time (days) A1 - 6 A2 A1 7 A3 A1 3 A4 A1 10 A5 A2 10 A6 A3, A4 4 A7 A4 8 A8 A4 5 A9 A5, A6, A7 7 A10 A8 6 Use excel to answer the following; a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time?A plant is acquiring new production machinery. Before the machinery can be fully functional, a number of activities must be performed. The activities, their precedence relationships, and their durations are shown in the following table. Days Activity a m b Immediate Predecessors A 6 8 10 - B 4 5 6 - C 1 2 3 - D 8 18 28 A E 4 5 6 C F 7 8 9 B, D, E G 4 5 9 B, D, E H 12 13 14 F I 8 9 10 F J 4 5 6 G, H K 2 5 8 I, J L 1 2 6 G, H a) Develop a project network for this problem. b) Determine the expected duration and variance for each activity. c) Determine the EST, EFT, LST, LFT, and slack for each activity. d) What is the critical path and project completion time? e) What is the probability that the job will finish in 59 days or less? f) What is the probability that the job will finish in 54 days or more?
- A plant is acquiring new production machinery. Before the machinery can be fully functional, a number of activities must be performed. The activities, their precedence relationships, and their durations are shown in the following table. Days Activity a m b Immediate Predecessors A 6 8 10 - B 4 5 6 - C 1 2 3 - D 8 18 28 A E 4 5 6 C F 7 8 9 B, D, E G 4 5 9 B, D, E H 12 13 14 F I 8 9 10 F J 4 5 6 G, H K 2 5 8 I, J L 1 2 6 G, H a) Develop a project network for this problem. b) Determine the expected duration and variance for each activity. c) Determine the EST, EFT, LST, LFT, and slack for each activity. d) What is the critical path and project completion time? e) What is the probability that the job will finish in 59 days or less? f) What is the probability that the job will finish in 54 days or more? g) Submit your…A plant is acquiring new production machinery. Before the machinery can be fully functional, a number of activities must be performed. The activities, their precedence relationships, and their durations are shown in the following table. Days Activity a m b Immediate Predecessors A 6 8 10 - B 4 5 6 - C 1 2 3 - D 8 18 28 A E 4 5 6 C F 7 8 9 B, D, E G 4 5 9 B, D, E H 12 13 14 F I 8 9 10 F J 4 5 6 G, H K 2 5 8 I, J L 1 2 6 G, H Use excel to answer the following; a) Develop a project network for this problem. b) Determine the expected duration and variance for each activity. c) Determine the EST, EFT, LST, LFT, and slack for each activity.Scenario: Early one Monday morning in Jamaica, Susan, a Restaurant Manager starts getting ready for the morning’s work operations. She is particularly happy because tonight he has a date with Marvin, the new Chef that was recently hired. The problem, as Susan sees it, is that Roberta, another Restaurant employee has been just a little too friendly with Marvin lately and that really upsets Susan. Susan has redone the work schedule, assigning Roberta the clean-up shift in the night and cutting back on her hours of work. She is hoping that Roberta would simply quit and out of her way. However, that plan doesn’t seem to be working.Despite a lighter pay cheque and frequent reprimand through the disciplinary process of creating reasons to write to her about her conduct and performance. Roberta has decided to quit her studies due to her inability to fund her tuition. A few days later, Susan noticed Marvin and Roberta having lunch together in the staff dining room. Susan got furious and…