Even though independent gasoline stations have been having a difficult$$ time, Ian Langella has been thinking about starting his own independent gasoline station. $$ Ian's problem is to decide how large his station should be$.$ The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful$$ analysis, Ian developed the following$$ table: Even though independent gasoline stations have been having a difficult time, lan Langella has been thinking about starting his own independent gasoline station. lan's problem is to decide how large his station should be$.$ The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, lan developed the following table:

States of Nature

For example, if lan constructs a small station and the market is good, he will realize a profit of $\backslash$$$50,000.$

This exercise contains only part e$.$

e$)$ The correct decision tree for lan, if each outcome is equally likely, is presented in $.$