A large fruit drink supplier

I noticed that one of our recent stories made reference to a "large fruit drink supplier". Obviously that's a large supplier of fruit drinks, but wouldn't it be nice if the company only supplied large fruit drinks, or drinks made from large fruit? I'm thinking of something like this:

Photo from Flickr

Using the word 'major' rather than 'large' would have been advisable - suppliers and fruit can both be 'large', but fruit is very rarely described as 'major'. And a hyphen between 'fruit' and 'drink' would have ruled out the 'large fruit' interpretation.