;About a week ago I got really sick of calculating FOCs and solving budget constraints for the same damn problem over and over again. I set out to memorize the CES equations (for Marshallian Demand, Implied Utility, etc). In the process, I found a nice trick that can sometimes save some computation. It really only applies to consumers maximizing utility, but I think you could do something similar when a firm has CES production.

I suspect it could be derived a lot more succinctly, but I'm not sure how to do it. Skip to the end for the useful expressions.

Download ces.pdf

Download ces.tex