The vote to join the union will take place on March 30, with votes being due by April 21.
American Public Media, the parent company of the show, has not recognized the union.
Media producers are technical directors, sound designers and engineers working behind the scenes.
The staffers are working to unionize with SAG-AFTRA, which represents content employees at National Public Radio and employees at public radio stations across the country.
In addition to its flagship show, “Marketplace” has eight other shows, and hosts, reporters and other staffers have signed to unionize.
One thousand stations carry American Public Media’s 20-plus national programs. Its multi-regional station operations include 49 public radio stations and 42 translators in the Upper Midwest and California.
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