It's originally said that Frasier will be giving up ten minutes at the end of his show. Later in the episode, when Julia tells Frasier that it's now going to be 15 minutes, they also say that it'll be at the end of his show. However, when Frasier first introduces Julia's segment on the air, he says that he'll be back in a few minutes for the next hour of his show.
Julia: We're not colleagues, I give the news and you're... a magic eight ball with a Harvard degree.
Frasier: I will not be belittled by a money grubbing , half-educated shrew!
Frasier: I won't even dignify that with a response...except to say that you couldn't be more wrong.
Roz: Thank you, Bulldog, but I'd rather cut my own arm off and eat it.
Frasier suddenly exclaiming, "Are you as turned on as I am?" during his argument with Julia is an homage to a famous Sam/Diane fight scene on "Cheers" episode "Showdown (2)". Sam said the same line to Diane before they finally kissed. (As a related inside joke later in the episode, Bulldog tells Frasier that "No one has said 'turned on' in twenty years.") The insults hurled at each other (ie. "Shrew!") are the same that Frasier and Kate Costas used in "Sleeping with the Enemy (1)".