Mr. Taylor added that the show’s creators and rights-holders had accepted cuts in their royalty payments this winter to help the production through tough times.

When box office grosses decline to a certain low, theater owners can invoke a “stop clause” to lean on producers to close a show. The Shubert Organization, which owns the theater where “Sister Act” is running, has chosen so far to “be supportive in the interest of getting behind the producers and deepening the relationship with Joop,” said Philip J. Smith, chairman of the Shubert Organization. Mr. Smith disputed the notion that he was keeping “Sister Act” in the Broadway Theater because the Shubert Organization lacked a show to replace it with.

“Priscilla” has the advantage of well-connected producers as well: Not only is Bette Midler a member of the team, but James L. Nederlander is also both a lead producer of the show, as well as one of the owners of its theater, the Palace. Mr. Nederlander (as landlord) has allowed the show to continue performances while he and his fellow producers have cut back on royalty payments and some nonsalary production costs; in turn, the show has grossed an average of $600,000 a week this winter, and the typical weekly running costs are somewhat below that number, according to Garry McQuinn, one of the lead producers of “Priscilla.”

“We’ve had kind of a rough March, and January and February were not wonderful, but our advance tickets sales are starting to build, and the sensible pruning of the budget has us on better footing,” Mr. McQuinn said on Tuesday, the one-year anniversary of the musical’s opening on Broadway.

Mr. Nederlander also has timing to consider: He is said to want the coming revival of “Annie” at the Palace, but “Annie” — a potentially mammoth moneymaker — isn’t arriving until the fall. The thinking goes that it’s better to make money some weeks from “Priscilla” than to have the Palace empty as tourists return to town. A national tour of “Priscilla” is also being planned for the fall, and tour bookers in many cities tend to offer the best performance dates on the calendar to shows that are running on Broadway (as opposed to those that have closed).