10. Pandora can buy gin and vodka in only one of the four following packages: A=(1,2), B=(8,4), C=(2,16), or D=(4,8). When purchasing, she always has precisely $24 to spend. If gin and vodka are both sold at $2 a bottle, she sometimes buys B and sometimes D. If gin sells for $4 a bottle and vodka for $1 a bottle, then she always buys C. Find a utility function U:{A, B, C, D} R that is consistent with this behavior.