A biologist sets up rabbit traps in a field. On one day in April he traps and catches 8 rabbits. He marks each by placing a tag on its left ear. He then releases them back into the field. One month later he traps again. This time he captures 5 rabbits marked with tags and 30 rabbits with unmarked ears. The carrying capacity for this field is 55 rabbits. Estimate the size of the rabbit population. Assuming each hunting permit allows the killing of one rabbit, should you recommend that any permits be issued, and if so, how many