There is a minimum temperature limit for aircraft stated in their AOMs. And we have to stick to it. But this is really a financial limit. The world leaders in extracting cash for paper are Boeing and other manufacturers have copied their lead. I fly an Embraer and we used to have a limit of -60˚C. But part of the sales package we negotiated when we purchased additional aircraft was an increase in the operational envelope regarding temperature. The minimum temperature (SAT) we can now operate is -70˚C. The only modification required was a new page in the AOM. I believe the same is true, to some extent, for some other limits like ZFWs, MLWs etc. The manufacturer places an artificial limit on their their product and charges you for each step you take to make the limit more reasonable.
So remember, if ever you sell an aircraft manufacturer a table, tell them they can only use it on Mondays, Wednesday and Fridays, during daylight hours. Charge a premium for night time and additional days. And whenever it's resold, make sure the initial restrictions are re-instated and screw the new owner for the same relaxations. It's a policy they should understand - because they do it with their products.