Yes, Prime Minister at the Gielgud Theatre The Days of Boom & Bust Continue Yes, Prime Minister is transferring to the Gielgud theatre from 20 September 2011. To book tickets before this date, please use the link: Yes, Prime Minister Apollo Theatre. Boom & bust continues at the Gielgud Theatre as Yes, Prime Minister extends its second West End run into November 2011. Based on the hilarious BBC sitcom, the show follows the fortunes of Prime Minister Jack Hacker & his special advisor Sir Humphrey Appleby who must come up with some unorthodox ideas in order to dig their way out of a massive hole in the budget. Simon Williams stars as Sir Humphrey Appleby whilst Richard Mc Cabe plays Jack Hacker.