'Produced' and 'did' are action verbs. 'Have' or 'had' by itself can be a linking verb (extant verb or status verb) or a helping verb along with a part participle or with progressive tense. The point is that we cannot replace an action verb with a linking verb or a helping verb.
Example.
A year before last I trekked 3000 feet on the Himalayas. Last year I had only 2000 feet due to poor weather.
Here 'trekked,' an action verb, is being replaced by 'had,' which is a linking verb. In the context,
...
Example.
A year before last I trekked 3000 feet on the Himalayas. Last year I had only 2000 feet due to poor weather.
Here 'trekked,' an action verb, is being replaced by 'had,' which is a linking verb. In the context,
...
