Can an enterprise apply for two utility model patents for the same product at the same time?

Yes, even if they protect the same product, you can apply for two patents if the inventions of the two utility models are different. For example, the whole vehicle is written, but a utility model protects the wheels and a door, even if the two specifications are the same, as long as the claims are different. Moreover, because the products corresponding to these two patents are the same, one application first may affect the novelty of later applications, so they are submitted together.