Determine which Option $($a$)$ maximizes expected profit, and $($b$)$ which maximizes expected utility? Developing a decision tree could be useful but not required.

Provide following answers in the box below:

A$)$ Which option will maximize profit? What would be its EMV?

b$)$ Which option will maximize utility? What would be its EUV?A company head makes all the financial decisions in a company. He needs to make a decision to select the best venture for investment. Four options are available. The chances of success$/$failure and expected profit$/$loss are listed in the table below:

$\backslash$table$[[$Profit$/$Loss$,$Failure,Little Success,Great Success$],[$Probability$,0\mathrm{.}40,0\mathrm{.}35,0\mathrm{.}25$

C$)$ Keeping both criteria in mind, what would be your final decision?