Final answer:
The minor supporting detail is the CEO's quote about using first names, which supports the consumer-friendly image Dunkin’ aimed for in its rebranding.
Step-by-step explanation:
The minor supporting detail in the provided reading is the sentence “As the CEO says, 'Friends use first names.'” This sentence offers an example of the consumer-friendly approach that Dunkin’ Donuts aimed to achieve by rebranding itself to Dunkin’. While this detail supports the overall idea that companies go to great lengths to keep customer interest through rebranding, it is not a major point in the explanation of branding strategies or the potential risks and rewards of rebranding.