Your client owns a small oyster bar and restaurant. She keeps her desk where she does the restaurant

Your client owns a small oyster bar and restaurant. She keeps her desk where she does the restaurant’s paper work in the back of the kitchen because there is not enough room for a separate office. The restaurant inspector demanded to see what was in the desk drawers because he said anything in the kitchen could potentially contaminate the food and he had to be sure there were no prohibited substances in the desk. She objected, but when he threatened to close the restaurant, she opened the drawers. The inspector found an illegal sawed off shotgun the owner uses for protection. She is now being prosecuted for possession of an illegal weapon.Please draft a memo for your supervising attorney to resolve the following issue: Is this a proper administrative search?