'Will slice' is the (future tense) verb of the sentence.
It is a predicate and it showes an action that is going to be done by the subject which, in this situation is 'chefs'.
'The" is an article.
'Skillful' and 'ripe' are adjectives, and they precede the plural nouns 'chefs' and 'tomatoes'.
'Quickly' is an adverb.
