Exam 10: Project Scheduling: Lagging, Crashing, and Activity Networks

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Consider the Gantt chart shown below where the time scale is in minutes and all activities are performed on an early start basis.How much slack is available in The Great Hair Washing project? Consider the Gantt chart shown below where the time scale is in minutes and all activities are performed on an early start basis.How much slack is available in The Great Hair Washing project?

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An activity on an arrow network:

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Dummy activities:

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Research has shown that,in general:

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A project has the activity duration and cost information indicated in the table where all times are in weeks.There is a penalty of $250 per week for every week the project extends beyond 32 weeks.What is the duration of the least expensive project possible? Activity Narmal time Crash time Narmal Cust Crash Cast Predecessar A 8 5 \ 1,000 2,000 B 6 4 1,500 2,000 A 8 5 1,800 2,300 A 12 9 1,000 1,800 14 11 950 1,450 9 7 1,500 1,900 , 7 5 2,300 2,800 ,

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   -Use the Gantt chart and activity list to determine when resource 3 is free.  \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Resources } & \text { Activity } & \text { Resources } \\ \hline  \mathrm {R }& 3 &  \mathrm { M } & 1 \\ \hline \mathrm { H } & 1 &  \mathrm { K } & 5 \\ \hline \mathrm {G } & 4 & \mathrm {~J} & 3 \\ \hline \mathrm { F } &2 & \mathrm { P } & 1 \\ \hline \mathrm { B } & 2 & \mathrm {S } & 2 \\ \hline \mathrm { T } & 4 & \mathrm {W} & 3 \\ \hline  \end{array}    -Use the Gantt chart and activity list to determine when resource 3 is free. Activity Resources Activity Resources 3 1 1 5 4 3 2 1 2 2 4 3

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A project has the activity duration and cost information indicated in the table where all times are in weeks.What is the lowest total cost for completing this project in 33 weeks? Activity Narmal time Crash time Normal Cost Crash Cost Predecessor A 8 5 \ ,000 2,000 B 6 4 1,500 2,000 A 8 5 1,800 2,300 A 12 9 1,000 1,800 14 11 950 1,450 9 7 1,500 1,900 , 7 5 2,300 2,800 ,

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A project manager ascertained that five different resources are needed to complete a project that has been estimated to last 37 days.Just to be on the safe side,the project manager told the client that the project would definitely be delivered in 40 days and 40 nights and arranged to rent the resources for that period of time.The project manager goes to the local rental center at the start of day 1 of the project,signs a 40-day lease agreement for all five resources,and brings them to the site to begin the project.Analyze the Gantt chart and resource list (activity durations are in parenthesis)and determine how much money is being wasted with this rental plan.If each resource could be rented for just the time it takes to complete each activity,what would the charge to the project be?  A project manager ascertained that five different resources are needed to complete a project that has been estimated to last 37 days.Just to be on the safe side,the project manager told the client that the project would definitely be delivered in 40 days and 40 nights and arranged to rent the resources for that period of time.The project manager goes to the local rental center at the start of day 1 of the project,signs a 40-day lease agreement for all five resources,and brings them to the site to begin the project.Analyze the Gantt chart and resource list (activity durations are in parenthesis)and determine how much money is being wasted with this rental plan.If each resource could be rented for just the time it takes to complete each activity,what would the charge to the project be?     \begin{array} { | l | l | }  \hline \text { Resource } & \\  \text { Nurnber } & \text { Daily Rate } \\ \hline 1 & \$ 1,000 \\ \hline 2 & \$ 1,200 \\ \hline 3 & \$ 500 \\ \hline 4 & \$ 750 \\ \hline 5 & \$ 800 \\ \hline \end{array}   \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Length } & \text { Activity } & \text { Length } \\ \hline \mathrm { H } & 3 & \mathrm {S } & 3 \\ \hline \mathrm { M } & 9 & \mathrm {~J} & 1 \\ \hline \mathrm { P } & 6 & \mathrm {~W} & 4 \\ \hline \mathrm {B } & 7 &\mathrm { T }& 4 \\ \hline  \mathrm { R } & 9 & \mathrm { G } & 4 \\ \hline \mathrm { F } & 5 &\mathrm {K } & 10 \\ \hline \end{array}   Resource Nurnber Daily Rate 1 \ 1,000 2 \ 1,200 3 \ 500 4 \ 750 5 \ 800 Activity Length Activity Length 3 3 9 1 6 4 7 4 9 4 5 10

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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 as quickly as possible? Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost A -- 8 \ 12,000 5 \ 22,000 A 12 \ 18,000 9 \ 32,000 C A 15 \ 22,000 9 \ 62,000 3 \ 9,000 2 \ 18,000 C 9 \ 15,000 5 \ 35,000 7 \ 5,000 5 \ 8,000 8 \ 13,000 6 \ 23,000 12 \ 20,000 8 \ 32,000 6 \ 45,000 4 \ 56,000

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Given the cost information in the table,what is the cheapest activity to crash on a per week basis? Activity Normal Time Narmal Cost Crash Time Crash Cost 8 \ 1,000 5 \ 6,000 6 2,000 4 6,000 9 2,500 6 8,000 12 4,000 8 10,000

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Activities A and B have a finish to finish relationship and early start and finish times as shown.What is the result of incorporating a 4-day lag between activities C and B? Activities A and B have a finish to finish relationship and early start and finish times as shown.What is the result of incorporating a 4-day lag between activities C and B?

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   -Use the Gantt chart and the activity list to determine which resource is free for use in another project before the others.  \begin{array} { | l | l | l | l | }  \hline \text { Activity } & \text { Resources } & \text { Activity } & \text { Resources } \\ \hline\mathrm {  A } & 1 & F & 2 \\ \hline\mathrm {  B }& 3 &\mathrm {  G } & 3 \\ \hline \mathrm {  C } & 4 & \mathrm { H } & 4 \\ \hline \mathrm { D } & 2 & \mathrm {~J} & 5 \\ \hline \mathrm { E } & 2 & \mathrm { K} & 1 \\ \hline \end{array}    -Use the Gantt chart and the activity list to determine which resource is free for use in another project before the others. Activity Resources Activity Resources 1 F 2 3 3 4 4 2 5 2 1

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A finish to start lag delay is usually shown:

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Activity X has the start to finish relationship shown with activity Y and both have early start and finish times as shown.Which statement is BEST? Activity X has the start to finish relationship shown with activity Y and both have early start and finish times as shown.Which statement is BEST?

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Most activity estimations using PERT methods lead to overly optimistic activity duration estimates.

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A project has the activity duration and cost information indicated in the table where all times are in weeks.For every week longer than 30 weeks,there is a penalty of $300.What is the highest total cost for completing this project? Activity Narmal time Crash time Narmal Cust Crash Cast Predecessar A 8 5 \1 ,000 2,000 B 6 4 1,500 2,000 A 8 5 1,800 2,300 A 12 9 1,000 1,800 14 11 950 1,450 9 7 1,500 1,900 , 7 5 2,300 2,800 ,

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When involved in a project involving many subcontractors:

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It costs $75 per day for each day that a construction crew is on site.The project manager determines that most activities can be crashed and has listed the crashing costs next to the minimum time for each activity.Use this information to determine the lowest cost for this project.All times given are in days. Normal Minimum Crash Cost Activity Time Time ( \/ day) Predecessor 10 6 \ 70 -- 6 3 \ 40 -- 2 2 - B 4 2 \ 60 C 6 4 \ 80 A 8 5 \ 90 ,

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In order to accelerate completion of a project,the manager must crash critical path activities.

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Networks would NOT be well suited for:

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