h$($n$)=$ max$\{$h$1($n$),$ h$2($n$)\}$

admissible because if both h$1$ and h$2$ are admissible, then picking the maximum of the two will lead to an admissible heuristic

Consistent because if both h$1$ and h$2$ are consistent, then picking the maximum of the two will lead to a consistent heuristic

Which one of these three new heuristics $($a$,$ b or c$)$ would you prefer to use for A$*?$ Justify your answer.