Consider the AON graph of a project shown below. Figure 19.17 A1 (A2) A3 A5 A4 days A6 The activity times are 4, 3, 3, 6, 9, 1, 3, and 3 days for activities A₁ through Ag. respectively. What is the earliest completion time of the project? A7 Ag
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- You are in charge of a project at the local community center. The center needs to remodel one ofthe rooms in time for the start of a new program. Delays in the project mean that the center mustrent other space at a nearby church at additional cost. Time and cost data for your project arecontained in below table. Your interest is in minimizing the cost of the project to the communitycenter.Using the normal times for each activity, what is the earliest date you can complete the project?Suppose the variable overhead costs are $50 per day for your project. Also, suppose that thecenter must pay $40 per day for a temporary room on day 15 or beyond. Find the minimum-costproject schedule using below format.The AON diagram for the community center project is below. Crash 4 times and find total cost.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, GColeman 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…
- 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 CA 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.B/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 4
- What is the minimum cost of crashing the following project that Roger Solano manages at Slippery Rock University by 4 days? Crash Normal Activity Time (days) Time (days) Normal Cost A 5 4 B 9 7 C 6 5 D 7 5 E 7 4 Total Cost with Crashing Immediate Predecessor(s) $800 $300 $600 $750 $1,200 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 $400 $650 $1,500 $1,650 | | | < 0PROJECT 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 25The 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 Duration (weeks) Precedes Crash Cost/Week A (start) B с E F (end) 2 2 5 2 3 Activity B. C E F F A 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) $380 $110 week(s) $200 $160 $450
- What 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 CThe 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 Duration (weeks) Precedes Crash Cost/Week A (start) B C E F (end) 3 2 6 2 3 Activity B, C E F F A B Suppose that Rafay is only given 9 weeks (instead of 12) 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. $380 $130 $240 Each Activity Should be Reduced BY (weeks) 0 week(s) week(s) $150 $400The following information has been computed from aproject:Expected total project time = T = 62 weeksProject variance (s2p ) = 81What is the probability that the project will be completed18 weeks before its expected completion date?