An decisionmaker's tastes over the outcome set X = {3:1, x2, x 3, $4, $5, 11:6} are captured by the preference relation t, which is partially described by the following table: :10 x a: a: a: m x1 1 0 :62 0 3:3 1 $4 1 x5 x6 0 1 A 1 in the the ith row and jth column of the table means xi i xj. A 0 means that xi i :L'j. Note that there are many missing entries in this table. 1. Use the fact that i is complete and transitive to ll in the missing entries of the table. (Every missing entry can be lled in with a 1 or 0 in exactly one way that is consistent with the entries you've been provided.) 2. Write down a utility function which represents : . 3. Suppose the decisionmaker is offered the choice set B = {$1, :52, $6}. Predict his choice