Incoming Broadway tuner “Million Dollar Quartet” has set its Gotham dates, with an opening night set for April 11.Musical about a 1956 recording session with Johnny Cash, Jerry Lee Lewis, Carl Perkins and Elvis Presley has proven a hit in Chicago, where the still-running show has been playing since last year. With a score made up of early rock ‘n’ roll hits including “Blue Suede Shoes,” “Great Balls of Fire” and “Folsom Prison Blues,” tuner looks to tap the baby boomer market that has helped make “Jersey Boys,” the bio-tuner about the Four Seasons, an enduring Main Stem success. Helmed by Eric Schaeffer, “Million Dollar” has a book by Colin Escott and Floyd Mutrux, who originally directed and conceived the show. Broadway incarnation is produced by Relevant Theatricals, John Cossette Prods., Northern Lights Inc., Broadway Across America and James L. Nederlander. Tuner will play the Nederlander Theater in a run that kicks off previews March 13 ahead of its April 11 opening.