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Problem 1 The following table gives the activities in a construction project and other relevant...

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Algebra

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Problem 1 The following table gives the activities in a construction project and other relevant information Activity 1 2 1 3 2 3 Duration Days 20 25 10 i Draw the network for the project ii Find the critical path and the project duration iii Find the total float for each activity Solution L 0 E 0 Activity 1 2 1 3 2 3 2 4 3 4 4 5 1 i ii iii Solution 3 E 30 L 30 Duration 20 25 10 12 6 10 L 20 E 20 EST 0 0 L 7 E 26 20 20 30 36 The critical path is 1 2 3 4 5 The project duration is 46 days Problem 2 A project has the following time schedule Time in months Activity 1 2 2 1 3 2 1 4 1 2 5 3 6 4 8 70 EFT 20 25 30 32 36 46 5 2 4 12 E 36 L 36 LST 0 5 20 24 30 36 Activity 3 7 4 6 Construct the network Find the total float for each activity Find the critical path and the project duration L 11 E 6 5 8 6 9 7 8 8 9 3 4 6 LFT 20 30 30 36 36 46 5 E 46 L 46 L 12 E 11 4 5 10 TF 0 5 0 4 0 0 Time in months 5 3 1 5 4 3 70

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