"The man shops for food."
Translation:Manden køber ind.
In German you can also say 'Der Mann kauft ein', but it could mean to buy anything. And when I talked with Danish friends, 'at købe ind' was never just limited to food and wasn't understood as that. I think 'The man goes shopping' would be a more proper equivalent of the Danish 'Manden køber ind'.
I think several possibilities should be considered here.