Answer:

To determine the sex of a Drosophila melanogaster with 4 copies of X-chromosomes and 4 sets of autosomes, we need to consider the sex determination system of this species. Drosophila melanogaster follows a system known as the X:A ratio system.

X:A ratio system:
In Drosophila melanogaster, the sex of an individual is determined by the ratio of the number of X-chromosomes to the number of haploid sets of autosomes (X:A ratio). The presence of one or more Y-chromosomes is not involved in sex determination in this species.

Male:
In Drosophila melanogaster, a diploid individual with one copy of X-chromosome and two sets of autosomes is male. The X:A ratio for males is 0.5 (1 X-chromosome: 2 sets of autosomes).

Female:
A diploid individual with two copies of X-chromosomes and two sets of autosomes is female. The X:A ratio for females is 1 (2 X-chromosomes: 2 sets of autosomes).

Metafemale:
A metafemale is a genetic abnormality that occurs due to the presence of additional X-chromosomes. It typically arises from nondisjunction during meiosis, resulting in an individual with more than two X-chromosomes. However, in this case, the Drosophila melanogaster has 4 copies of X-chromosomes, which is not a typical condition for a metafemale.

Metamale:
A metamale is also a genetic abnormality that occurs due to the presence of fewer X-chromosomes than normal. This condition can occur due to the loss or absence of one or more X-chromosomes. However, in this case, the Drosophila melanogaster has 4 copies of X-chromosomes, which is not a typical condition for a metamale.

Therefore, based on the X:A ratio system and the given information, the sex of the Drosophila melanogaster with 4 copies of X-chromosomes and 4 sets of autosomes is female (option 'A').