Final answer:
The SQL statement will generate a report with all possible combinations of PATIENT_ID and DOCTOR_ID due to the lack of a JOIN clause, resulting in a Cartesian product.
Step-by-step explanation:
The statement issued, SELECT patient_id, doctor_id FROM patients, doctors;, will produce a report containing all possible combinations of the PATIENT_ID and DOCTOR_ID values. This is because the query does not specify how the two tables should be joined or related, so it creates a Cartesian product, meaning every row from the PATIENTS table is paired with every row from the DOCTORS table. There is no restriction placed on the data, and there is no JOIN clause used to combine the two tables based on a relationship between them.