This tentative solution is based on assumptions which may or may not be valid. No further information is obtainable from the question.
Assume SS (coupe) (C) are all 2-door 6-cylinder vehicles, C=7416.
Assume all sedans (2- and 4-door) have 6- or 8-cylinder engines (represented by S=S₆+S₈).
Hatchbacks (3- and 5-door) have 6- or 8-cylinder engines (represented by H=H₆+H₈=7866).
Number of vehicles with 6-cylinder engines=334728-15030=319698.
Assume total vehicles C+H+S=334728, so S=334728-7416-7866=319446.
S₆+S₈=319446.
S₈+H₈=15030, and H₈≤7866, so S₈≥7164.
S₆+H₆=319698-7416=312282.
Therefore, the number of hatchbacks with V8 engines must be in the range [0,7866], corresponding to [15030,7164] for sedans with V8 engines.