Now, this is produce:
Whereas a product is ... wait for it ...
something, a thing produced by labor, such as products of farm and factory; or the product of his thought.
a person or thing produced by or resulting from a process, as a natural, social, or historical one; result, as in "He is a product of his time."
the totality of goods or services that a company makes available; output, as in "There's been a marked decrease in product during the past year."
4, In chemistry, a product is a substance obtained from another substance through chemical change.
- In math, the product is the result obtained by multiplying two or more quantities together.
Produce isn't ... what's that word? ... quantifiable; one must not put an article in front of it. You could put an article in front of certain words that aren't quantifiable, but only while speaking to a waiter at your local cafe, as in "Can I have a water?" Now produce is not one of those words. No articles.