Explanation:
the information about the drug quantity per tablet is just to confuse us. it is not needed at all to answer the question.
q.i.d. (or qid or QID) is four times a day; q.i.d. is a Latin acronym and stands for "quater in die" (4 times a day).
although I would say "quarter per diem" (4 times per day), which is more likely what the old Romans would have been saying. after all, "daily" or "per day" is simply "per diem".
anyway, this all means 4 tabs 4 times per day for 14 days.
that means
4 × 4 × 14 = 16 × 14 = 224 tablets