Question: Who produced the 1968 film that inspired the stage musical in which Hushabye Mountain is featured?

Context paragraphs:
Hushabye Mountain: "Hushabye Mountain" is a ballad by the songwriting team Robert and Richard Sherman.  It appears twice in the 1968 Albert R. Broccoli motion picture "Chitty Chitty Bang Bang": first as an idyllic lullaby by Caractacus Potts (Dick Van Dyke) to his children; and later when the children of Vulgaria have lost all hope of salvation.  The song is also featured prominently in the 2002 and 2005 stage musical versions.

Springtime for Hitler: Springtime for Hitler: A Gay Romp With Eva and Adolf at Berchtesgaden is a fictional musical in Mel Brooks's 1967 film "The Producers", as well as the stage musical adaptation of the movie, and the 2005 movie adaptation of the musical.  It is a musical about Adolf Hitler, written by Franz Liebkind, an unbalanced ex-Nazi played by Kenneth Mars (then by Brad Oscar and Will Ferrell in the stage musical and the 2005 film respectively).

Doll on a Music Box: "Doll on a Music Box" is a song originally from the 1968 musical film, "Chitty Chitty Bang Bang".  It was subsequently performed in the 2002/2005 stage musical "Chitty Chitty Bang Bang" as well.  It is both a musical and lyrical counterpoint to the more free flowing, legato song, "Truly Scrumptious".  In the song, Truly is disguised as a wind up music box doll, metaphorically and actually on a pedestal.  In the song, Truly sings about herself and her rigid nature, all behind the mask of the "doll" she is portraying.  In the motion picture the part of Truly was played by actress Sally Ann Howes.  In the stage musical version, the part was re-created by 19-year-old London actress, Emma Williams.  In 2005, the Broadway "Truly" was portrayed by actress Erin Dilly, who was nominated for a Tony Award that year for the role.

Chitty Chitty Bang Bang (musical): Chitty Chitty Bang Bang is a stage musical based on the 1968 film produced by Albert R. Broccoli.  The music and lyrics were written by Richard and Robert Sherman with book by Jeremy Sams.

Hit the Deck (1955 film): Hit the Deck is a 1955 American musical film directed by Roy Rowland and starring Jane Powell, Tony Martin, Debbie Reynolds, Walter Pidgeon, Vic Damone, Gene Raymond, Ann Miller, and Russ Tamblyn.  It is based on the stage musical of the same name – which was itself based on the hit play "Shore Leave" by Hubert Osborne – and was shot in CinemaScope.  Although the film featured some songs from the stage musical, the plot was different.  Standards featured in the film include "Sometimes I'm Happy", "I Know that You Know", and "Hallelujah".

Calamity Jane (musical): Calamity Jane (A Musical Western) is a stage musical based on the historical figure of frontierswoman Calamity Jane.  The non-historical, somewhat farcical plot involves the authentic Calamity Jane's professional associate Wild Bill Hickok, and presents the two as having a contentious relationship that ultimately proves to be a facade for mutually amorous feelings.  The "Calamity Jane" stage musical originated as a live adaption of "Calamity Jane", the 1953 Warner Bros. movie musical with Doris Day.  First produced in 1961, the stage musical "Calamity Jane" features six songs not heard in the movie.  According to Jodie Prenger, star of the "Calamity Jane" 2014 - 15 UK tour, the songs added for the stage musical had been written for but not included in the "Calamity Jane" movie ("Love You Dearly" had been used in the 1954 Doris Day musical film "Lucky Me").

Consider Yourself: "Consider Yourself" is a song from the 1960s original West End and Broadway musical "Oliver! " and the 1968 film of the same name.  It was introduced on Broadway by Davy Jones and the ensemble.  In the 1968 film version, it is performed in the market and led by Jack Wild's Artful Dodger.  In all versions, Dodger sings it when he first meets Oliver, after offering to get the destitute and alone boy food and lodging.  Lyrically, it is an enthusiastic gift of friendship from Dodger and his as-yet-unseen gang to Oliver, assuring him warmly he can consider himself "our mate" and "one of the family" as "it's clear we're going to get along".  The 1968 film builds it to a spectacular extended song-and-dance routine involving the street crowd, market workers, policemen and chimney sweep boys.

Come to the Funfair: "Come to the Funfair" (originally called "Funfair") is a song first written for the 1968 musical film "Chitty Chitty Bang Bang" but was cut almost entirely from the final edit of the film.  The musical theme is still heard in the soundtrack immediately after "Caractacus Potts" (Dick Van Dyke) sings "Hushabye Mountain".  Then Potts gets the idea to earn money by cutting hair at the funfair.  The music is heard as carnies walk by in the distance.  The song was written by Robert B. Sherman & Richard M. Sherman.

You Two: "You Two" is a song from the 1968 film musical "Chitty Chitty Bang Bang".  The song also appears in the 2002–2005 stage musical version.  It was written by Robert and Richard Sherman.  The song is sung by a single–widower father ("Caractacus Potts") to his two twin children ("Jeremy" and "Jemima").  An inventor by trade, Potts sings the song against the backdrop of his eccentric inventor's workshop.  The melody from this song was also used in counterpoint several times with the melody of the title song, Chitty Chitty Bang Bang (song).

Planet of the Apes (video game): Planet of the Apes is a 2001 action-adventure video game in the "Planet of the Apes" franchise.  The franchise's first video game, it was released as a tie-in to the 2001 "Planet of the Apes" film, though the plot is inspired by Pierre Boulle's 1963 novel and the 1968 film adaptation.  Fox Interactive contracted Visiware to develop the game for PC and PlayStation and partnered with Ubisoft as co-publisher.  Torus Games developed a Game Boy Advance and Game Boy Color versions, which are based on the 1968 film and its 1970 sequel.

Supporting paragraphs: Hushabye Mountain Chitty Chitty Bang Bang (musical)
Answer: Albert R. Broccoli