Not sure, need to check with them
From Publix website: Federal and state laws regulate the employment of minors, specifically: Hours you may work if you are under age 18. Occupations in which you may be employed. Hazardous equipment and/or materials from which you're restricted. Publix only accepts applications from job seekers who are at least 14 years old. However, not all of our stores hire minors due to the positions and shifts available at each location. http://corporate.publix.com/careers/stores/faq/age-and-schedule-requirements
Not sure but probably 16 with a workers permit
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