What is the ruling on one who has ample wealth but does not offer a sacrifice (udhiyah)?

Scholars have differed on the ruling concerning Udhiyah (sacrificial offering) into two opinions: The first is that it is a confirmed Sunnah, which is the opinion of the majority of scholars. The second is that it is obligatory, which is the opinion of Al-Awza'i and Al-Layth, the madhhab of Abu Hanifa, and one of the two narrations from Ahmad.

Those who held the opinion of its obligation adduced as proof the saying of the Prophet, peace be upon him: "Whoever has the means and does not offer a sacrifice, let him not approach our prayer place," and his saying: "O people, for every household there is an Udhiyah and an 'Atirah."

Whereas the majority of scholars, who held it to be a confirmed Sunnah, adduced as proof the saying of the Prophet, peace be upon him: "When you see the crescent of Dhul-Hijjah and one of you intends to offer a sacrifice, he should refrain from cutting his hair and nails," and because the Prophet, peace be upon him, sacrificed on behalf of his Ummah, and his saying: "Three things are obligatory for me but voluntary for you: the sacrifice, the Witr prayer, and the two rak'ahs of Duha prayer," and because it is authentically reported from Abu Bakr and Umar, may Allah be pleased with them, that they did not offer sacrifices for fear that it would be thought that the Udhiyah was obligatory.

Many of those who held the opinion of its non-obligation explicitly stated that it is disliked for one who is able to neglect it.