Step 1: Campylobacter jejuni. This is a Gram-negative bacterium, not Gram-positive. It causes gastroenteritis.
Step 2: Clostridium botulinum. This is a Gram-positive, spore-forming, obligate anaerobe. It produces botulinum toxin and causes foodborne botulism. Hence, this is the correct choice.
Step 3: Vibrio cholerae. This is a Gram-negative bacterium that causes cholera. Not Gram-positive.
Step 4: Salmonella typhi. This is also Gram-negative, belonging to Enterobacteriaceae. It causes typhoid fever. Not Gram-positive.
Thus, the only Gram-positive foodborne pathogen among the given options is Clostridium botulinum.