Final answer:
The molt-inhibiting hormone in crustaceans is produced in the X-organ, which, combined with the sinus gland, controls the molting process by inhibiting it at certain stages.
Step-by-step explanation:
The molt-inhibiting hormone in crustaceans is produced in the X-organ. The X-organ, in conjunction with the sinus gland, controls the molting process. The hormone produced here actively inhibits ecdysis (molting), and it is secreted in pre-molt and post-molt stages to regulate this critical process. For the question, even though 'Y organ' is mentioned, it is involved in the production of ecdysteroids, which promote molting. Therefore, the X-organ is crucial in inhibiting the molting process through the production of the molt-inhibiting hormone.
As an additional note, in crustaceans, the green glands are akin to kidneys in vertebrates and function in excretion and osmoregulation, but they are not involved in the production of molt-inhibiting hormone. The mandibular glands and antennal glands serve other functions and are not responsible for this hormone's production either.