Live happy vs Live happily

 If "feel happy" and "look sad" represent <Linking verb + Adj> , and "arrive late" and "work hard" exemplify <Action verb + Adv>, how should we analyze expressions like "Think big", "Live green", or even "Live happy" (Cityplaza slogan)?

And what does "Eat naked" mean? (Warning: Don't overthink.)

See my language awareness article in today's Ming Pao .

https://news.mingpao.com/pns/%e8%8b%b1%e6%96%87/article/20201124/s00017/1606155658150/%e8%8b%b1%e8%aa%9eguide-eat-healthy-or-eat-healthily-arrive-safe-or-arrive-safely