You have a choice between two investment opportunities. One pays $20,000 with certainty, while the other pays $30,000 with probability 0.2, $6,000 with probability 0.4, and $1,000 with probability 0.4. Your utility is of the type U(x) = xγ, 0 < γ < 1. Moreover, you decide that you are indifferent between the choice of receiving $1,000 for sure, or $1,728 and $512 with a fifty-fifty chance. Find your, and decide which opportunity you like better.