The Immokalee, Florida migrant farmworkers who have forced some of the biggest food industry corporations in the world to acquiesce to their demands for “dignity” in the fields say they are determined to make Wendy’s and Publix do the same.

To prove it, the Coalition of Immokalee Workers launched their ‘Now Is the Time’ tour in early March, staging rallies and actions in ten cities in 10 days that culminated in an overnight vigil of hundreds at a Lakeland, Florida Publix on Friday and Saturday.

Their demands? That Wendy’s and Publix support a penny-per-pound pay increase for tomato pickers, back-up a zero-tolerance policy for abuse and sexual harassment, and allow workers to exercise their rights to organize and work safely.

Now under the banner of the Fair Food Program, these demands emerged from the earliest days of CIW organizing in the early 1990s, in which mostly Mexico, Guatemala, and Haiti born migrant farmworkers joined together to fight low pay, rampant wage theft, workplace abuse, and modern-day slavery. The organization, which has since swelled to 5,000 farmworker members, has forced a dozen of the world’s wealthiest fast food and grocery corporations to sign onto the Fair Food Program, including Walmart in January 2014.

“We have seen that if we work together as one with strength and commitment and faith, we can change things,” said Lupe Gonzalo, a farmworker and member of CIW, in an interview with Common Dreams.

Yet, after four years of pressure, Publix — a grocery retail giant currently expanding across the southeast — has so far refused to sign on or even meet with CIW representatives, say organizers. Wendy’s, one of the largest fast food chains in the U.S., has refused to get on board for over a year.

So, over 50 CIW members traveled to meet with supporters from Atlanta, Georgia to Nashville, Tennessee where they staged actions demanding Wendy’s and Publix enter the Fair Food Program.

In Dublin, Ohio — a suburb of Columbus — over 800 people joined the CIW tour in a two mile march to the Wendy’s corporate headquarters last Sunday. “We have been organizing for a month, and we really wanted to send Wendy’s a message that people here are aware of the Immokalee workers’ fight for justice and people in Ohio will hold them accountable,” said Ruben Castilla-Herrera, organizer with Ohio Fair Food, in an interview with Common Dreams. He added that the “momentum in Ohio is only going to grow.”

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