Do I put a comma before as well as in the sentence below?

Question

Prescriptions were given to the patient for an antibiotic as well as a Lortab elixir for pain management.

Answer 1

Prescriptions were given to the patient for an antibiotic, as well as a Lortab elixir for pain management.

Answer 2

The sentence works with or without the comma. However, it can be improved.

 

Prescriptions were given to the patient for an antibiotic and for a Lortab elixir for pain management.