Explanation:

- Statement 1: The implication of a price floor is that producers may resort to selling goods illegally below the minimum price if they can't sell all their products at the higher minimum price. This is due to excess supply, as demand typically decreases when prices are artificially held above equilibrium, leading to potential illegal market activities.

- Statement 2: To support prices, the government may intervene by purchasing excess goods at the floor price. This helps maintain the price floor by reducing surplus and supports the producers financially.

- Option 1: Both statements are true. Both the illegal selling and government intervention can happen with imposed price floors.

- Option 2: Incorrect, as both statements align with common outcomes of a price floor.

- Option 3: Incorrect, as it dismisses the true possibility of government intervention.

- Option 4: Incorrect, as it assumes illegal selling is not a consequence of price floors.

Option 1 is correct.