A farmworkers coalition will march through the wealthy town of Palm Beach near the home of a billionaire fast-food executive, but a federal judge will decide how loud the demonstration will be and where it will be held.

Attorneys for the Coalition of Immokalee Workers, which represents about 40,000 workers, and the town argued Wednesday before District Judge Robin Rosenberg over the group’s scheduled march Saturday near the home of Wendy’s chairman Nelson Peltz. The coalition is on a five-city tour protesting Wendy’s refusal to pay a penny-per-pound fee for its tomatoes to supplement some farmworkers’ wages.