(a) A decision maker faces a risky gamble in which she may obtain one of the following four outcomes: $2800, $2500, $2200, and -$1200. She has made the following two assessments: She is indifferent between having $2200 for sure OR a lottery in which she wins $2800 with probability 'k' or loses $1200 with probability '1- k'. She is indifferent between having $2500 for sure OR a lottery in which she wins $2800 with probability 'm' or wins $2200 with probability '1- m. Assign U($2800)=1 and U($-1200)=0, Find U($2500)=? And U($2200)=? Note: Show complete support work/calculation. (b) An investor with assets of $18,000 has an opportunity to invest $6000 in a venture that is equally likely to pay either $18,000 or nothing. The investor's utility function can be described by the log utility function U (x) = In (x), where x is his total wealth. The expected utility of the venture is Note: Show complete support work/calculation.