Question: Problem 3. (25 points) Consider the following project network, where the number over each node is the time required for the corresponding activity. Please find

Problem 3. (25 points) Consider the following

Problem 3. (25 points) Consider the following project network, where the number over each node is the time required for the corresponding activity. Please find the path whose total time is the largest one from start to finish. For example, the total time needed for path START-A-C-F-J-FINISH is 15. (a) What are the stages and states for the dynamic programming formulation of this problem? (10 points) (b) Use dynamic programming to solve this problem and identify the optimal solution (the activity path with the longest time). If there is more than one optimal solution, identify them all. ( 15 points)

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