"*Major" inefficiency is doing a lot of work there. If something that can clearly be improved upon, the market should be able to fill the hole. If its just the usual inefficiencies of day to day humanity, that exists in some form or another at every company and most likely won't be solved without a paradigm shift (like automation or a major process change).

There's also things like barrier to entry and sticky economic forces that means small inefficiencies are not enough to force change.