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Suppose you are planning to introduce a new product to manufacturing. You generated a list of the tasks to be completed and collected information (based on experience) on the duration of the tasks under their most favorable, least favorable, and normal conditions. These times, along with the predecessors of the tasks, are shown in the following table.

Part A. Draw the project network diagram using the AOA (activities on arcs) diagram.

Part B. Using the diagram drawn in A as a basis, determine the Early Event Time (ET) and Late Event Time (LT) for each node.

Part C. Determine the free float and total float for each activity.

Part D. Determine the critical step of tasks and expected duration of the project

Part E. Calculate the probability that the project lasts less than 30 days

**correction its E

Time in Days Task Best Worst Likely Immediate Conditions Conditions Conditions Predecessors A Request shipping of machinery 13 5 4 B Clear Space 3 16 4 C 2 15 13 Prepare manufacturing floor with machines , 8 D 5 18 6 Train employees with the use of new machinery C E Validation Run 6 8 7 CD F Release product for production 2 15 3 G