Question: Roger Birnbaum produced the 2016 Western action film directed by whom?

Context paragraphs:
California Straight Ahead!: California Straight Ahead!  is a 1937 American Western action film about truck drivers starring John Wayne and directed by Arthur Lubin.  The action movie features a memorable cross-country race between trucks and trains.

The Lone Ranger (2013 film): The Lone Ranger is a 2013 American western action film directed by Gore Verbinski from a screenplay written by Justin Haythe, Ted Elliott and Terry Rossio.  Based on the radio series of the same name, the film stars Johnny Depp as Tonto, the narrator of the events, and Armie Hammer as John Reid, the Lone Ranger.  It relates Tonto's memories of the duo's earliest efforts to subdue local villainy and bring justice to the American Old West.  William Fichtner, Barry Pepper, Ruth Wilson, James Badge Dale, Tom Wilkinson and Helena Bonham Carter also are featured in supporting roles.  It is the first theatrical film featuring the Lone Ranger and Tonto characters in more than 32 years.

The Count of Monte Cristo (2002 film): The Count of Monte Cristo is a 2002 adventure drama film produced by Roger Birnbaum, Gary Barber, and Jonathan Glickman that was directed by Kevin Reynolds.  An international co-production between the United States, the United Kingdom, and Ireland, the film is an adaptation of the book of the same name by Alexandre Dumas, père and stars Jim Caviezel, Guy Pearce, and Richard Harris.  It follows the general plot of the novel (the main storyline of imprisonment and revenge is preserved); but many aspects, including the relationships between major characters and the ending, have been changed, simplified, or removed; and action scenes have been added.  The film met with modest box office success.

A Morte Comanda o Cangaço: A Morte Comanda o Cangaço is a 1960 Brazilian Western action film directed by Carlos Coimbra and Walter Guimarães Motta.  Shot in Pernambuco, it stars Alberto Ruschel, Aurora Duarte, and Milton Ribeiro in a fiction about "cangaço".  It was entered into the 11th Berlin International Film Festival.  The film was also selected as the Brazilian entry for the Best Foreign Language Film at the 33rd Academy Awards, but was not accepted as a nominee.

The Magnificent Seven (2016 film): The Magnificent Seven is a 2016 American Western action film directed by Antoine Fuqua and written by Nic Pizzolatto and Richard Wenk.  It is a remake of the 1960 western film of the same name, which in turn was a reimagination of Akira Kurosawa's 1954 Japanese film "Seven Samurai".  The film stars Denzel Washington, Chris Pratt, Ethan Hawke, Vincent D'Onofrio, Lee Byung-hun, Manuel Garcia-Rulfo, Martin Sensmeier, Haley Bennett, and Peter Sarsgaard.  It is the final film of composer James Horner, who died the previous year after composing a part of the score; his friend Simon Franglen completed the music.

Roger Birnbaum: Roger Birnbaum (born c. 1950) is an American film producer who owns the company Spyglass Entertainment and was co-CEO and co-Chairman of Metro-Goldwyn-Mayer.  His two greatest box office hits as producer have been "Rush Hour 2" and "The Tourist" which grossed US$347,325,802 and US$278,346,189 at the worldwide box office respectively.  In 2016, he produced "The Magnificent Seven" under his Pin High Productions banner.

Desperado (film): Desperado is a 1995 American contemporary Western action film written, produced, and directed by Robert Rodriguez.  A sequel to the 1992 film "El Mariachi", it is the second installment in Robert Rodriguez's "Mexico Trilogy".  It stars Antonio Banderas as the mariachi who seeks revenge on the drug lord who killed his lover.  The film was screened out of competition at the 1995 Cannes Film Festival. " Once Upon a Time in Mexico", the final part of the trilogy, was released in 2003.  "Desperado" grossed $25.4 million in the United States.

Metro (1997 film): Metro is a 1997 American action comedy thriller film which was directed by Thomas Carter, produced by Roger Birnbaum.  Eddie Murphy stars as Scott Roper, a hostage negotiator and inspector for the San Francisco Police Department who seeks revenge against a psychotic jewel thief, Michael Korda (Michael Wincott), who murdered Roper's best friend, Lt. Sam Baffert (Art Evans).  Released on January 17, 1997 in the United States, "Metro" grossed $32,000,301 in the domestic market, which failed to bring back its $55,000,000 budget.

Guns of the Magnificent Seven: Guns of the Magnificent Seven is a 1969 western, styled in the genre of a Zapata Western, the second sequel to the classic 1960 western action film, "The Magnificent Seven", itself based on Akira Kurosawa's "Seven Samurai" (1954).  The film was directed by Paul Wendkos and produced by Vincent M. Fennelly.  It stars George Kennedy as Chris Adams, the character Yul Brynner portrayed in the first two films.

Tulsa (film): Tulsa is a 1949 American Technicolor Western action film directed by Stuart Heisler and starring Susan Hayward and Robert Preston, and featured Lloyd Gough, Chill Wills (as the narrator), and Ed Begley in one of his earliest film roles, billed as Edward Begley.

Supporting paragraphs: Roger Birnbaum The Magnificent Seven (2016 film)
Answer: Antoine Fuqua