In the opening scene, Millicent tells Oliver, "I see your precious Carlotta Vance arrived yesterday on the Europa." Later, that same day during Carlotta's visit to Oliver's office, she says'"I've been in New York four days and I'm lost."
Carlotta tells Millicent she has already seen "Say It With Music" two or three times, but Carlotta has only been in town for a few days and she told Oliver that this was her first time back in New York in ten years, It is unlikely that Carlotta would have seen the same show two or three times in the few days she has been in New York, especially as she indicates that she didn't particularly care for it. (Incidentally, Carlotta's withering remark about "that man with the cigar" is a sly dig at Groucho Marx, whose ad libbing made mincemeat of George S. Kaufman's scripts for the stage versions of The Cocoanuts and Animal Crackers.)
I love this movie, especially the wonderfully over-the-top comic scenes in which Jean Harlow and Wallace Beery square off, but I never have understood how the timing for the dinner evening was supposed to work. Everyone was to gather for dinner at 8, and the hostess (Billie Burke) said she had planned for the group to go to a Broadway play ("Say It With Music") and to a nightclub after that. How? Curtain time then was, at the latest, 8:30, and I don't see this high-toned crowd wolfing down a carefully prepared meal and dashing across town to a theater. And no one in that assemblage, except for Harlow, seemed likely to go in for late-night clubbing. (I'll concede that the hostess canceled the nightclub reservation after learning the truth about her husband's health, but there's still the matter of bolting down dinner and zooming off to the theater.)