In most cases, the dishwasher cannot be fired for the actions or decisions of other employees, such as the cook and prep-cook not showing up for work. Dishwashers are generally responsible for their own tasks, which involve cleaning dishes and maintaining a clean kitchen area. If the dishwasher showed up for work as scheduled and performed their duties properly, it would be unfair and unreasonable to terminate their employment due to the absence of other staff members.
However, it's essential to note that employment laws and regulations may vary depending on the country, state, or region. In some jurisdictions, there might be specific labor laws or contractual agreements that could affect employment decisions. Employers are generally required to follow proper procedures and comply with applicable labor laws when making any termination decisions.
If a dishwasher is concerned about potential employment issues or feels unfairly treated, they should consider discussing the situation with their supervisor or human resources department to address any concerns or misunderstandings. Open communication is often key to resolving workplace issues and ensuring fair treatment of all employees.