I thought about asking my boss to propose this to the other company, but it wouldn't really be in my company's best interest to do it. It wouldn't gain us anything because I've already spent the time to create our own workarounds for the deficiencies of the product. It would just make things easier for any competitor of ours who might also use the product.
I also thought about approaching the other company privately. I don't think this would violate my non-compete agreement, which only prohibits me from seeking employment in a very specific industry. But would this be ethical? I'm a salaried employee, so I feel like if I have any labor to spare, I owe it to my current employer.
Have you ever been in a situation like this? What did/would you do?
TL;DR/DK/DC: What would you do with six egg whites if you used the yolks in something else?