Not sure if there is a better communication mechanism for asking this question. Ubuntu 12 is EOL April 2017. Do corporations have any option to extend support on 12?
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Short answer is no. They do not plan to support any release beyond the EOL.
More information can be found here: https://www.ubuntu.com/info/release-end-of-life
You should contact Canonical directly with your inquiry. While they do not advertise any support options beyond a version's official end-of-life date, it's always worth asking. Be sure to include the size of corporation (how many Ubuntu machines you need support for).
Canonical Support Sales:
UK: +44 207 093 5161
USA: +1 781 761 9427
Canonical announced that they will offer Precise users extended "security patches only" support contracts for customers under the Ubuntu Advantage support contract.
No word on how long will this plan be offered, but according to the press release - it is intended for customers "who have not yet had time to upgrade" to Trusty (3 years old now) or Xenial (1 year old now) - so anybody's guess is likely to be true, and if XP is to be assumed as the golden standard, then the answer is: for many years to come.