What characteristics should a good evaluation function h for A* have? Give reasons for your answer! b) Assume A* is used with a heuristic h(s) that sometimes overestimates the cost of reaching the goal state from s. Will A* in this case still find the optimal solution? If your answer is yes, give a reason for your answer! If your answer is now, gives an example of a search problem with the above characteristics for which A* no longer finds the optimal solution! c) Assume h1 and h2 are both admissible heuristics for A* for a search problem; is h(x)=max(h1(x), h2(x)) also an admissible heuristic? Do you prefer heuristic h over heuristics h1 and h2 or not? Give reasons for your answer

You have a linux system that has a 1000gb hard disk drive, which has a 90gb partition containing an ext4 filesystem mounted to the / directory and a 4gb swap partition. currently, this linux system is only used by a few users for storing small files; however, the department manager wants to upgrade this system and use it to run a database application that will be used by 100 users. the database application and the associated data will take up over 200gb of hard disk space. in addition, these 100 users will store their personal files on the hard disk of the system. each user must have a maximum of 5gb of storage space. the department manager has made it very clear that this system must not exhibit any downtime as a result of hard disk errors. how much hard disk space will you require, and what partitions would you need to ensure that the system will perform as needed? where would these partitions be mounted? what quotas would you implement? what commands would you need to run and what entries to /etc/fstab would you need to create? justify your answers.