Is it legal for an employer to advertise an hourly rate of pay that is lower than that state's minimum wage?

yes

How can that be permitted if a minimum wage indeed does define the lowest allowed rate of pay?

Crimes are committed until someone reports the crime to the authorities.

To determine whether it is legal for an employer to advertise an hourly rate of pay lower than the state's minimum wage, you need to research the labor laws specific to the state in question. Here's how you can find the answer:

1. Identify the state: Determine which state's minimum wage you are referring to since minimum wage laws vary by state. Each state sets its own minimum wage laws, which can be higher than the federal minimum wage.

2. Research the state's minimum wage laws: Visit the official website of the state's labor department or the relevant agency responsible for enforcing labor laws. They usually provide detailed information about minimum wage requirements and any exceptions.

3. Check for any exemptions: Some states may allow certain employers, such as small businesses or employees who receive tips, to pay a lower minimum wage under specific conditions. Exemptions may also exist for certain types of workers, such as those participating in training programs or individuals with disabilities.

4. Verify minimum wage rates: If the employer is advertising a rate lower than the state's minimum wage without any exemptions, it could potentially be illegal. Ensure you have the accurate and up-to-date minimum wage rate established by the state.

5. Contact relevant authorities: If you are still unsure after researching, consider reaching out to the state labor department or a local employment attorney for clarification. They can provide guidance based on the specific laws in your state.

Remember that labor laws can change, so it's important to stay updated and verify the information directly from reliable sources.