A function centre employs staff so that all necessary tasks can be completed between the end of one function and the beginning of the next function. The network diagram shows the time taken in hours for the tasks that need to be completed. --- 4 WORK AREA LINES (style=lined) --- --- 4 WORK AREA LINES (style=lined) ---
Networks, STD2 N3 SM-Bank 50
Roadworks planned by the local council require 13 activities to be completed.
The network below shows these 13 activities and their completion times in weeks.
- What is the earliest start time, in weeks, of activity `K`? (1 mark)
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- How many of these activities have zero float time? (2 marks)
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- It is possible to reduce the completion time for activities `A, E, F, L` and `K`.
- The reduction in completion time for each of these five activities will incur an additional cost.
- The table below shows the five activities that can have their completion time reduced and the associated weekly cost, in dollars.
- The completion time for each these five activities can be reduced by a maximum of two weeks.
- The overall completion time for the roadworks can be reduced to 16 weeks.
- What is the minimum cost, in dollars, of this change in completion time? (3 marks)
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Networks, STD2 N3 2020 HSC 26
The preparation of a meal requires the completion of all activities `A` to `J`. The network diagram shows the activities and their completion times in minutes.
- What is the minimum time needed to prepare the meal? (1 mark)
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- List the activities which make up the critical path for this network. (2 marks)
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- Complete the table below, showing the earliest start time and float time for activities `A` and `G` (2 marks)
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Networks, STD2 N3 2019 FUR2-N 2
The construction of the new reptile exhibit is a project involving nine activities, `A` to `I`.
The directed network below shows these activities and their completion times in weeks.
- Which activities have more than one immediate predecessor? (1 mark)
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- Write down the critical path for this project. (1 mark)
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- What is the latest start time, in weeks, for activity `B`? (1 mark)
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Networks, STD2 N3 2019 FUR2 3
Fencedale High School is planning to renovate its gymnasium.
This project involves 12 activities, `A` to `L`.
The directed network below shows these activities and their completion times, in weeks.
The minimum completion time for the project is 35 weeks.
- Identify the critical path and state how many activities are on it? (2 marks)
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- Determine the latest start time of activity `E`. (1 mark)
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- Which activity has the longest float time? (1 mark)
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It is possible to reduce the completion time for activities `C, D, G, H` and `K` by employing more workers.
- The completion time for each of these five activities can be reduced by a maximum of two weeks.
What is the minimum time, in weeks, that the renovation project could take? (1 mark)
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Networks, STD2 N3 SM-Bank 41
The directed network below shows the sequence of activities, `A` to `S`, that is required to complete a manufacturing process.
The time taken to complete each activity, in hours, is also shown.
- Determine the critical path of this network. (2 marks)
- Identify the activities that have a float time of 10 hours. (2 marks)
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Networks, STD2 N3 2019 HSC 26
A project requires activities `A` to `F` to be completed. The activity chart shows the immediate prerequisite(s) and duration for each activity.
- By drawing a network diagram, determine the minimum time for the project to be completed. (3 marks)
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- Determine the float time of the non-critical activity. (1 mark)
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Networks, STD2 N3 SM-Bank 39
Bianca is designing a project for producing an advertising brochure. It involves activities A-M.
The network below shows these activities and their completion time in hours.
- What is the earliest starting time of activity J? (1 mark)
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- What is the latest starting time of activity H? (1 mark)
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- What is the float time of activity I? (1 mark)
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- What is the minimum time required to produce the brochure? (2 marks)
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Networks, STD2 N3 SM-Bank 31
Murray is building a new garage. The project involves activities `A` to `L`.
The network diagram shows these activities and their completion times in days.
- Which TWO activities immediately precede activity `G`? (1 mark)
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- By completing the diagram shown, calculate the minimum time required to build the new garage. (2 marks)
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- Hence, what is the float time for activity `E`? (1 mark)
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Networks, STD2 N3 SM-Bank 29
The construction of The Royal Easter show involves activities `A` to `L`. The diagram shows these activities and their completion times in days.
The company contracted to construct it are given a completion deadline of 31 days.
Calculate the float time of Activity `G`. (3 marks)
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Networks, STD2 N3 EQ-Bank 19
An engineering project requires activities A to G to be completed, as shown in the table.
The minimum completion time for the project is 25 days and the critical path includes activities B, D, E and F. The float for activity G is two days and the float for activity C is four days.
Find the possible duration for each of the activities A, C, F and G. Include a network diagram in your answer. (5 marks)
Networks, STD2 N3 EQ-Bank 18
An engineering project requires activities A to G to be completed, as shown in the table.
The minimum completion time for the project is 40 weeks and the critical path includes activities A, C, E and G. The float for activity F is six weeks and the float for activity D is 9 weeks.
Find the possible duration for each of the activities B, D, F and G. Include a network diagram in your answer. (5 marks)
Networks, STD2 N3 2007 FUR2 4
A community centre is to be built on the new housing estate.
Nine activities have been identified for this building project.
The directed network below shows the activities and their completion times in weeks.
- Determine the minimum time, in weeks, to complete this project. (1 mark)
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- Determine the float time, in weeks, for activity `D`. (2 marks)
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The builders of the community centre are able to speed up the project.
Some of the activities can be reduced in time at an additional cost.
The activities that can be reduced in time are `A`, `C`, `E`, `F` and `G`.
- Which of these activities, if reduced in time individually, would not result in an earlier completion of the project? (1 mark)
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The owner of the estate is prepared to pay the additional cost to achieve early completion.
The cost of reducing the time of each activity is $5000 per week.
The maximum reduction in time for each one of the five activities, `A`, `C`, `E`, `F`, `G`, is `2` weeks.
- Determine the minimum time, in weeks, for the project to be completed now that certain activities can be reduced in time. (1 mark)
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- Determine the minimum additional cost of completing the project in this reduced time. (1 mark)
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Networks, STD2 N3 2013 FUR2 2
A project will be undertaken in the wildlife park. This project involves the 13 activities shown in the table below. The duration, in hours, and predecessor(s) of each activity are also included in the table.
Activity `G` is missing from the network diagram for this project, which is shown below.
- Complete the network diagram above by inserting activity `G`. (1 mark)
- Determine the earliest starting time of activity `H`. (1 mark)
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- Given that activity `G` is not on the critical path
- write down the activities that are on the critical path in the order that they are completed (1 mark)
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- find the latest starting time for activity `D`. (1 mark)
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- write down the activities that are on the critical path in the order that they are completed (1 mark)
- Consider the following statement.
‘If the time to complete just one of the activities in this project is reduced by one hour, then the minimum time to complete the entire project will be reduced by one hour.’
Explain the circumstances under which this statement will be true for this project. (1 mark)
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- Assume activity `F` is reduced by two hours.
What will be the minimum completion time for the project? (1 mark)
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Networks, STD2 N3 2012 FUR2 2
Thirteen activities must be completed before the produce grown on a farm can be harvested.
The directed network below shows these activities and their completion times in days.
- Determine the earliest starting time, in days, for activity `E`. (1 mark)
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- An activity with zero duration starts at the end of activity `B`.
Explain why this activity is used on the network diagram. (1 mark)
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- Determine the earliest starting time, in days, for activity `H`. (1 mark)
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- In order, list the activities on the critical path. (1 mark)
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- Determine the latest starting time, in days, for activity `J`. (1 mark)
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Networks, STD2 N3 2009 FUR2 4
A walkway is to be built across the lake.
Eleven activities must be completed for this building project.
The directed network below shows the activities and their completion times in weeks.
- What is the earliest start time for activity E? (1 mark)
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- Write down the critical path for this project. (1 mark)
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- The project supervisor correctly writes down the float time for each activity that can be delayed and makes a list of these times.
Determine the longest float time, in weeks, on the supervisor’s list. (1 mark)
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A twelfth activity, L, with duration three weeks, is to be added without altering the critical path.
Activity L has an earliest start time of four weeks and a latest start time of five weeks.
- Draw in activity L on the network diagram above. (1 mark)
- Activity L starts, but then takes four weeks longer than originally planned.
Determine the total overall time, in weeks, for the completion of this building project. (1 mark)
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