Given the decision tree below for a two$-$stage $($decision$)$ project to enter a joint venture, find the

best alternatives $($among a$1-$a$6$ 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 a$1$ 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 $5.$