The correct option is B You can go to Rome and set up your business. You can stay here and expand it locally.
A compound sentence is made up of two independent clauses, which are
complete sentences on their own. Alternative compound sentences express a choice between two alternatives. The pair of sentences in option B have the alternatives "go to Rome..." and "stay here..." They can be joined using "either...or", hence B is the correct option. Option A contains two unrelated sentences, they are not alternatives hence A is incorrect. Similarly, C does not contain alternatives, hence it's incorrect. Option D is in relation to time, they are not alternatives, hence D is incorrect.