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| (5 points) Problem 1: Given the decision tree below for a two-stage (decision) project to enter a joint venture, find the best alternatives (among a1-a6 in the figure) and their expected values. The outcomes shown are revenues and the investment expenses are in parentheses. Node 4 represents the situation where alternative a1 was chosen, and then the top outcome with a 70% probability occurred; note that there is no choice of alternative if the 30% probability outcome occurred. Similarly with Node 5. az 3,000 0.7 4 84 ay (500) 2 1,000 0.3 2,000 0.2 500 0.4 0.3 5 1,000 0.5 3,500 a2 (1,000) 3 as 3,000 0.6 6 6 ag 4,000