Question: Office Automation Inc., developed a proposal for implementing a software system that will standardize the accounts payable function by automatically issuing an electronic payment upon
Office Automation Inc., developed a proposal for implementing a software system that will standardize the accounts payable function by automatically issuing an electronic payment upon receipt of the vendor invoice. Contained in the proposal is a list of activities that must be accomplished to complete the project. The following table contains relevant information about the activities.
| Time (weeks) | Cost ($1,000s) | |||||
|---|---|---|---|---|---|---|
| Activity | Description | Immediate Predecessor | Normal | Crash | Normal | Crash |
| A | Plan needs | 10 | 8 | 30 | 70 | |
| B | Order equipment | A | 8 | 6 | 120 | 150 |
| C | Install equipment | B | 10 | 7 | 100 | 160 |
| D | Set up training lab | A | 7 | 6 | 40 | 50 |
| E | Conduct training course | D | 10 | 8 | 50 | 75 |
| F | Test system | C, E | 3 | 3 | 60 |
(a)Develop a project network.
A project network with 8 activities and 8 directed arcs is shown.
- Activity Start is connected to activity A.
- Activity A is connected to activity B and to activity C.
- Activity B is connected to activity D.
- Activity C is connected to activity E.
- Activity D is connected to activity F.
- Activity E is connected to activity F.
- Activity F is connected to activity Finish.
- Activity Finish has no arcs directed to other activities.
A project network with 8 activities and 8 directed arcs is shown.
- Activity Start is connected to activity A.
- Activity A is connected to activity B and to activity C.
- Activity B is connected to activity E.
- Activity C is connected to activity D.
- Activity D is connected to activity F.
- Activity E is connected to activity F.
- Activity F is connected to activity Finish.
- Activity Finish has no arcs directed to other activities.
A project network with 8 activities and 8 directed arcs is shown.
- Activity Start is connected to activity A.
- Activity A is connected to activity B and to activity D.
- Activity B is connected to activity C.
- Activity C is connected to activity F.
- Activity D is connected to activity E.
- Activity E is connected to activity F.
- Activity F is connected to activity Finish.
- Activity Finish has no arcs directed to other activities.
A project network with 8 activities and 8 directed arcs is shown.
- Activity Start is connected to activity A.
- Activity A is connected to activity B and to activity D.
- Activity B is connected to activity E.
- Activity C is connected to activity F.
- Activity D is connected to activity C.
- Activity E is connected to activity F.
- Activity F is connected to activity Finish.
- Activity Finish has no arcs directed to other activities.
(b)Develop an activity schedule.
| Activity | Earliest Start | Latest Start | Earliest Finish | Latest Finish | Slack |
|---|---|---|---|---|---|
| A | |||||
| B | |||||
| C | |||||
| D | |||||
| E | |||||
| F |
(c)What are the critical activities? (Enter your answers as a comma-separated list.)
What is the expected project completion time (in weeks)? weeks(d)Assume that the company wants to complete the project in six months or 26 weeks. What is the amount of crash time (in weeks) for each activity that minimizes cost?
(A,B,C,D,E) =
(e)Develop an activity schedule for the crashed project.
| Activity | Earliest Start | Latest Start | Earliest Finish | Latest Finish | Slack |
|---|---|---|---|---|---|
| A | |||||
| B | |||||
| C | |||||
| D | |||||
| E | |||||
| F |
(f)What added project cost (in thousands of dollars) is required to meet the six-month completion time? thousands of dollars
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