A private investigator is hired to track down a missing girl on the run from a mysterious Silicon Valley corporation.

Foreign investors converge on a luxury hotel in China to bid on a new kind of radioscope. But, this is a hotel where Burns and Allen are the in-house medical staff, a measles risk sends the whole building into quarantine, and a madcap millionaire crashes dinner in his autogyro. Hotel and radioscope become a stage for an all-star cast of comedians and musicians, from vaudeville to the new generation.