“It may be possible to build one’s dream home on a bleak, stormy mountain with no roads, but who would call such a plan feasible?” (GrammarBook).
Don’t you love it? This quote is so perfect to demonstrate the difference between feasible with its sense of we can sensibly achieve versus possible where there is a likelihood that it may not be achievable.
In formal writing, what one shouldn’t do is use feasible as being likely or reasonable, as it is an inaccurate usage. It is more acceptable in idiomatic writing, e.g., dialogue or thought,.
Chris The Story Reading Ape's Blog 