Question: Suppose that you are working on a new web development project. The network and durations given below shows the normal schedule for a project. You
Suppose that you are working on a new web development project. The network and durations given below shows the normal schedule for a project. You can decrease (crash) the durations at an additional expense. The Table below provides the information about the activities, immediate predecessors, normal times and costs, and crash times and costs for the activities.
| Activity | Time (weeks) | Cost ($) | Maximum Reduction in Time | Crash Cost per week saved | ||
| Normal | Crash | Normal | Crash | |||
| A | 12 | 9 | $210,000 | $270,000 |
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| B | 9 | 5 | $410,000 | $450,000 |
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| C | 8 | 6 | $290,000 | $350,000 |
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| D | 16 | 13 | $440,000 | $500,000 |
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| E | 10 | 9 | $350,000 | $315,000 |
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| F | 4 | 3 | $160,000 | $200,000 |
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(a) List all network paths and their lengths, and determine the critical path(s). What is the normal completion time? (2 marks)
(b) Calculate the Maximum Reduction in Time and crash cost per week for all activities. (2 marks)
(c) The owner wants you to shorten the project by 6 weeks. Design a crashing strategy to shorten the project by 5 weeks to meet deadlines. Which activities should be crashed, and for each crashed activity provide the total number of weeks crashed and the total cost. What is the overall project crashing cost? (3 marks)
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