Benny Is a Expected Utility Maximizer with a Well- Behaved

Essay

Benny is a expected utility maximizer with a well- behaved, continuously differentiable utility function (i.e., no kinks or inflection points).
i)Benny is presented with the following choices:
A. $1,000 for sure
B. 50% chance of $800 and 50% chance of $1,500
C. $500 for sure
D. 50% chance of $400 and 50% chance of $900
Benny is indifferent between A and B and is also indifferent between C and D. (Note: this does not imply that he is indifferent between A and C or B and D.)
Is Benny risk neutral, risk averse, risk loving, or can't you tell? Explain.
ii)He is now faced with the following choice:
E. $750 for sure
F. 25% chance of $400 and 25% chance of $900 and 25% chance of $800 and 25% chance of $1,500. Will Benny choose E or F, or is he indifferent between them, or is not possible to tell?