Question: Who produced the Green Day album made while Bill Schneider was their day to day manager?

Context paragraphs:
American Edit: American Edit is a mashup album released by Party Ben and Team9 under the shared alias Dean Gray.  Its primary basis is the Green Day album "American Idiot" — the name "Dean Gray" is a spoonerism of "Green Day."

American Idiot: American Idiot is the seventh studio album by American rock band Green Day.  Produced by Rob Cavallo, the album was released in the UK on September 20, 2004 and in the US on September 21, 2004 by Reprise Records.  Green Day first achieved popularity in the 1990s with a string of successful albums.  Following disappointing sales of their sixth album, "Warning" (2000), the band took a break before recording their next album, titled "Cigarettes and Valentines."  The recording process was cut short when the album's master tapes were stolen.  Rather than re-record that material, the group decided to start over.

Kerplunk (album): Kerplunk is the second studio album by American punk rock band Green Day, released on December 17, 1991 by Lookout!  Records.  "Kerplunk" was Green Day's last release on the Lookout Records label, and was also the first album to feature Tré Cool on drums.  The album sold 10,000 copies its first day and became Lookout! 's biggest selling release.  After debuting it to their fans in the Berkeley, California area and receiving much approval from the critical 924 Gilman Street crowd, the band packed up in a cramped, converted Book Mobile and headed east.  Green Day developed a fan base on the east coast, behind the determined grass root efforts of lead singer, Billie Joe Armstrong.  The opportunity paid off as album sales reached over 50,000 copies.  Along with the successful live shows, major labels took notice of "Kerplunk"'s phenomenal popularity, as a result, many approached the band.  Green Day realized that they had outgrown their record distribution capacity with Lookout!  and eventually signed with Reprise Records.  With Reprise, Green Day recorded and released their next album "Dookie" (1994).  The album officially includes only 12 tracks, but the versions released on CD and cassette also include the 4 tracks from the "Sweet Children" EP.  One of those tracks is a cover of The Who's "My Generation".

Day by Day (Doris Day album): Day by Day is a Doris Day album released by Columbia Records on December 17, 1956.  The title is an obvious pun, both meaning "on a daily basis" (as implied in the song title) and "(Doris) Day, in the daytime" (and thus leading to a later album entitled "Day by Night").  The album was issued as Columbia catalog CL-942.

Green Day discography: The American punk rock band Green Day has released 12 studio albums, two live albums, four compilation albums, one soundtrack album, four video albums, 10 extended plays, four box sets, 43 singles, ten promotional singles, and 39 music videos.  The band has sold over 85 million records worldwide, including more than 30 million in the United States alone.  Green Day released their first two studio albums, "1,039/Smoothed Out Slappy Hours" (1991) (consisting of the original "39/Smooth" as well as their first two EP's "1,000 Hours" and "Slappy") and "Kerplunk" (1991), through the independent label Lookout!  Records before signing to major label Reprise Records. " Dookie", the band's first album on the label and third studio album overall, was released in February 1994.  It was a breakout success, selling over 10 million copies in the United States and 20 million copies worldwide.  "Dookie" spawned five singles, including the international hits "Longview", Basket Case" and "When I Come Around".  The album placed Green Day at the forefront of the 1990s punk rock revival.

Bill Schneider (musician): William 'Bill' Schneider (born June 17) is an American musician.  He has played bass in the punk rock band Pinhead Gunpowder since 1990, as well as providing vocals and writing the lyrics to the song "Backyard Flames".  He has also been in many other bands such as The Influents, Monsula and Uranium 9v, Sawhorse and The Skinflutes.  Bill was worked as bass tech during the Nimrod era for Mike Dirnt, Green Day's and as guitar tech on their albums "Nimrod" and "Warning", American Idiot, 21st Century Breakdown, Uno Dos Tres, Revolution Radio and was their day to day manager from 2003-2012 for their "American Idiot" and 21st Century Breakdown tours through Uno Dos Tres.  He also owned "Broken Guitars", a guitar shop in Oakland, California with Billie Joe Armstrong.  Bill Still works on the sidelines with the band as well as in the studio.

¡Cuatro!: ¡Cuatro!  is a 2013 rockumentary starring the punk rock band Green Day, directed by Tim Wheeler.  The film documents the creation of the band's 2012 album trilogy "¡Uno! ", "¡Dos! " and "¡Tré! ".  The documentary, directed by Tim Wheeler and produced by Tim Lynch (who had previously produced Green Day's "Bullet in a Bible" in 2005), was released through Reprise Records on the September 24, 2013.  A 40-minute version of the documentary premiered on VH1 in 2012.  The documentary contains footage of Green Day's producer Rob Cavallo and Green Day's days composing and organizing the trilogy until their release. " ¡Cuatro!"  was nominated for a Grammy Award for Best Music Film.

Green Day related projects: Since 1991, some members of punk band Green Day have branched out past their "main band" and have started other projects with other musicians and have released full-length albums and several EPs.  Notable related projects of Green Day include Billie Joe Armstrong's Pinhead Gunpowder (which also featured Green Day's other guitarist Jason White), The Frustrators in which Mike Dirnt plays bass, and The Network which many speculate has all three members of Green Day, although under stagenames.

Adeline Records: Adeline Records was a record label which was formed in Oakland, California, United States in late 1997 and closed down in August 2017.  It was created by Billie Joe Armstrong, lead singer of Green Day, Screw 32's Doug Sangalang, Green Day guitarist Jason White and professional skateboarder Jim Thiebaud.  Green Day's management company, Pat Magnarella Management, took over ownership of the label and ran it from his office in San Diego for many years.  In July 2017 Pat Magnarella split from Green Day having managed them for over 21 years and shortly thereafter Adeline Records abruptly closed down.  Adeline Records was named after a street (Adeline Street) that runs from The Port of Oakland through West Oakland and NOBE, terminating at Ward St and Shattuck Ave in Berkeley.

The Influents: The Influents were a punk rock band formed in 1999 by Jason White and Bill Schneider.  Both were members of the seminal East Bay punk band Pinhead Gunpowder, which featured White on guitar and Schneider on bass, but due to the sporadic nature of Pinhead Gunpowder's recording and gigging (between May 1992 and April 2001, they played just fifteen shows White and Schneider decided to form a new band as a side-project on which to focus.  Schneider's brother Greg joined as second guitarist, sharing songwriting and vocals with Jason, and drummer Willie Samuels completed the lineup.

Supporting paragraphs: Bill Schneider (musician) American Idiot
Answer: Rob Cavallo