Fred is thinking of starting a bowling alley near a college campus. fred is an expected utility maximizer with utility function: u(w) = 1 – (3000/w), where w is his wealth. fred’s total wealth is $12,000. with probability 0.2 the alley will be a failure and he’ll lose $9,000, so that his wealth will be just $3,000. with probability 0.8 it will succeed and his wealth will grow to $x. what is the smallest value of x that would be sufficient to make fred want to invest in the bowling alley rather than have a wealth of $12,000 with certainty?