This fabulously silly picture is a scan from the 1977 edition of the Mind Alive Encyclopaedia of Technology edited by David Chatterton, (first pub. 1968, Marshall Cavendish Books Ltd).
Although the caption makes a pretty good prediction, the idea of filling ones dining room with a mainframe to manage shopping lists and the like is rather erm, optimistic.
Note how in the future teddy bears will act as operators. To keep the batch jobs flowing they will be regularly beaten by small children armed with spoons.
Thanks to OldDogNewTrick for the ID, It's a Honeywell 200 sports fans.