$1.$ Given that a decision problem has three attributes and that for the first two attributes, more of each attribute is preferred than less, but for the third attribute less is preferred to more, select the nondominated outcomes from the following set of outcomes. Show the dominance graph that you develop for solving this problem.

$(10,4,5),(8,5,5),(4,9,3),(6,6,6),(7,8,5),(2,3,7),(6,3,1),(7,6,5),(10,5,4).$