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.
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- Limbo Technologies has embarked on another project that has an estimated completion time of 40 weeks and a standard deviation of 5 weeks. It is estimated that the project completion time is normally distributed. i)What is the probability of finishing the project in 38 weeks or less? ii)The due date for the project is set so that there is a 90% chance that it will finish by this date. What is the due duration? ACTIVITY PREDECESSOR NORMAL TIME (WEEKS) CRASH TIME (WEEKS) NORMAL COST ($) CRASH COST ($) A - 4 2 1000 1600 B - 6 3 3000 3500 C A 3 1 2500 3000 D A,B 6 5 1500 1850 E D 4 2 3500 4200 F C 4 3 2250 3000 G D 3 2 1900 2500 H F,G,E 2 1 400 500In the project considered below, activity crashing can take place over a wide range of reduction times. The cost per day of reduction is given: Activity Immediate Normal Time Cost/day Lower Time Predecessor (days) Limit A None 3 450 1 B None 4 300 2 A 3 200 D E 100 E A,B 500 1 F C.D 4 600 3 For example, activity C can be crashed from its normal time of 3 days down to as little as 1 day or anywhere in between; the cost per day to crash C is 200. a) Draw a network diagram for this project. What is the critical path? How long will the project take, if no crashing takes place? b) Determine the least cost way to crash activities in order to complete the project in 11 days; in 10 days; in 9 days; in 8 days. c) Suppose the due date for the project is 5 days and a penalty of $500 a day is assessed for each day late. What is the optimal number of days to crash the project? Why?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 | | | < 0
- 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.A project consist of 5 activities A,B,C,D,E with ES, EF, LS and LF of A (0, 6, 9, 15); B (0, 7, 0, 7); C (6, 13, 15, 22); D (7, 13, 7, 13); E (13, 22, 13, 22). Normal Time (in month), Crash time (in month), Normal cost (in million Rp), Crash cost (in million Rp) from each activity are A (6, 4, 20, 24); B (7, 5, 30, 35); C (7, 6, 10, 13); D (6, 4, 20, 26); E (9, 8, 88, 90) a. What activities are in the critical path? How long is the project duration? b. If we want to crash the project for 2 months, what activities need to be crashed? How much additional cost required?The client of a project has requested the project team to crash 8 hours of time. The table below provides the necessary information about the possible project crashing. (a) What is the crash cost for 8 hours of time-savings? (b) Assume the team calls the client and asks for a project extension, reducing the amount of time they need to crash. The project team has a $20 crash budget. Is the budget sufficient to crash 4 hours of time? Activity Normal Duration (hours) Normal Cost ($) Crash Duration (hours) Crash Cost (S) Immediate Predecessors A 2 10 2 0 None B 3 15 2 23 A C 5 25 4 30 B D 3 20 1 24 C E 6 30 4 45 C F 1 5 1 0 E G 7 35 6 50 F H 10 50 7 80 D, G
- 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.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 project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 3 2,000 2,600 2 1 2,200 2,800 3 500 500 D 8. 4 2,300 2,600 A E 6 3 900 1,200 F 3 2 3,000 4,200 G 4 2 1,400 2,000 D, E What is the maximum time that can be crashed? O Not in the choices Seven weeks Five weeks O Four weeks O Six weeks
- A project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 3 2,000 2,600 B 1 2,200 2,800 3 500 500 D 8 4 2,300 2,600 A E 6 900 1,200 В F 3 3,000 4,200 G 4 1,400 2,000 D, E If you wish to reduce the time required to complete this project by one week, which activity should be crashed? O Activity C O Activity D O Activity E O Activity B O Activity AB/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 4Dave is the project manager for a construction project that is building agazebo. When the project first started, he met with the stakeholders to definethe scope. The sponsors mentioned that the gazebo is a really important partof their daughter’s wedding ceremony that was planned for 7 months fromthen. In fact, they said that if the gazebo couldn’t be completed in 7 months, itwouldn’t be worth it for them to even start the project. Dave wrote down the7-month deadline to put in his Project Scope Statement. In which section ofthe document did the deadline appear?”A. Project ConstraintsB. Project DeliverablesC. Project ObjectivesD. Project Assumptions Which of the following is a “hygiene factor” under Herzberg’s Motivation-Hygiene Theory?A. Recognition for excellent workB. Self-actualizationC. Clean clothingD. Good relations with coworkers and managers