In moving its productions to Broadway, the non-profit home of the New York Shakespeare Festival has had its ups (A Chorus Line) and downs (On the Town and The Wild Party, which helped lead to a severe money crunch). Now, with last summer’s smash hit revival of Hair, the Public has established a new model for commercial runs of its productions. “For the first time, [Public Theater artistic director Oskar Eustis] said, ‘we have structured a deal where not a dime of the Public’s money is at risk,’ and the Public maintains complete artistic control. ‘We are real artistic and business partners.'”